J.Konstapel,Leiden, 22-10-2026.
Aanleiding: Vidi-beurs voor elf onderzoekers van de Universiteit Leiden
Always looking for New Insights (All rights reserved. No part of this site may be used without permission.)
J.Konstapel,Leiden, 22-10-2026.
Aanleiding: Vidi-beurs voor elf onderzoekers van de Universiteit Leiden
Aanleiding: Jensen Huang’s Vision for Europe Runs on Plug-In Data Centers
J.Konstapel,Leiden,22-10-2026.
An essay based on “The Trunk and the Mesh: Europe’s Probable Technology Future, and What the Vacuum.Net Reads in It” (J. Konstapel, Constable Research, Leiden, October 2026).
Europe is not short of technology visions. The European Union has one; each member state has one; every large technology firm active on the continent has one. Read separately, they compete. Read together, they converge on a single direction: Europe will build more central computing capacity, in larger units, on a longer supply chain — and it will call the result sovereignty.
The purpose of this essay is to subject that direction to a disciplined business assessment. Three questions structure the analysis. First, what do the visions actually amount to in money, commitments and physical constraints? Second, what future is probable — not desired, not announced, but likely — when those constraints are applied? Third, what does an alternative theoretical lens, the Vacuum.Net theory of closure, suggest that the prevailing visions miss?
The assessment yields a sobering picture. The headline numbers are large — roughly €136 billion in private AI, data-centre and cloud commitments, a €200 billion EU mobilisation target — but the firm money behind them is a fraction of the rhetoric. Meanwhile the binding constraints are physical and slow-moving: grid connections that take seven to thirteen years, a semiconductor base stuck near 9 per cent of global output with no leading-edge production, critical raw material dependence concentrated in China, and industrial electricity at roughly twice the American price. The probable 2030 outcome is concentration without independence: ten to twenty large sites, a sovereign cloud that is largely American technology under European operation, and chips still fabricated in Taiwan. The essay closes with an alternative reading — the mesh rather than the trunk — and a set of practical directions that hold whether or not one accepts the theory behind them.
Deduplicated across twenty-one announcements made largely in 2025 and 2026, corporate commitments for AI, data-centre and cloud capacity in Europe come to approximately €136 billion (an honest range of €120–150 billion depending on inclusion rules). The largest items are substantial: SAP’s €20 billion sovereign-cloud programme over ten years; Amazon’s €18 billion of new money in Spain within a €33.7 billion envelope, plus €7.8 billion through 2040 for the AWS European Sovereign Cloud (live since January 2026); Microsoft’s roughly $15 billion in the United Kingdom, $10 billion in Sines, Portugal, and a $6.2 billion capacity purchase in Narvik, Norway; Google’s at least €13 billion in Finland, €5.5 billion in Germany, €5 billion in Belgium and £5 billion in the United Kingdom; and Schwarz Group’s €11 billion for a 200-megawatt site at Lübbenau. Mistral, the European champion, is building a 44-megawatt site near Paris, €1.2 billion of capacity in Sweden, and a planned 1.4-gigawatt campus with MGX and Nvidia.
Two facts about this money deserve board-level attention. First, its provenance: 63 per cent comes from American firms, 35 per cent from European firms, and the remainder from ByteDance. The capital building “European sovereignty” is predominantly foreign. Second, its nature: announced private capital is mostly non-binding intent, convertible or cancellable on strategy changes, exchange rates and demand cycles.
Every firm uses the same word — sovereignty. Microsoft promises “a European cloud for Europe”; Amazon promises no operational control outside EU borders; Google says a sovereign future must be built in Europe, for Europe. Three things are conspicuously absent from all of these visions: any efficiency figure beyond Nvidia’s claimed 30 per cent power saving for its own systems; any quantification of jobs displaced (every announcement quantifies jobs created); and any proposal to place less computation, or local computation, at the centre of the design.
The EU’s answer is the AI Continent Action Plan of April 2025, with the InvestAI financing facility targeting €200 billion. Of this, €150 billion is private intent from an industry initiative, and the €50 billion public element draws on existing programmes, largely in the next budget period.
The flagship — up to seven AI gigafactories, each needing 100–250 megawatts and costing €4–5 billion — reveals the gap between headline and commitment with unusual clarity. The formal call of 30 July 2026 allows €100 million plus €400 million of EU money for each of four smaller sites and €200 million plus €800 million for each of three larger ones: an EU maximum of €5.0 billion, of which only the first €1 billion is firm. The remaining €4 billion depends on a 2028–2034 budget that is still a proposal. The €20 billion gigafactory headline thus reduces, at present, to at most €5 billion in the actual call — and no site has yet been chosen.
The Commission’s own scoreboard, the State of the Digital Decade 2026, is candid about the distance to the 2030 targets: 20 per cent of firms use AI against a 75 per cent target; 46.7 per cent use cloud against 75 per cent; 60.4 per cent of adults have basic digital skills against 80 per cent; 10.5 million ICT specialists against 20 million; and an 8.8 per cent world chip share against a 20 per cent target that the European Court of Auditors calls “very unlikely” (its own projection is 11.7 per cent). On current trends, the digital-skills target is reached only in 2037.
Twenty-one national strategies examined for this assessment all place AI and computing capacity at their core, yet committed public money ranges only from tens to hundreds of millions of euros — Germany’s roughly €1 billion for a gigafactory and the Netherlands’ €200 million AI factory in Groningen being typical. Announced private figures such as France’s €109 billion (February 2025) remain largely non-binding; of the €93 billion announced at the 2026 Choose France summit, €45 billion is firm.
Data-centre policy also divides the continent: France, Germany, Italy, the United Kingdom and Norway court data centres, while the Netherlands permits hyperscale sites in only two locations (with Amsterdam admitting none after 2035) and Ireland now requires new data centres to bring their own generation, sourcing at least 80 per cent from additional Irish renewables.
A quieter counter-current exists. The EuroStack initiative (Bertelsmann Stiftung and CEPS) argues for a full European technology stack at an estimated €300 billion to 2035 — money that does not exist. More than ninety European firms, including Airbus and Dassault Systèmes, have asked for European preference in public procurement. And some public bodies have already moved: Schleswig-Holstein migrated more than 40,000 mailboxes to open-source software, expecting over €15 million of licence savings in 2026 against a one-time €9 million cost; the Austrian armed forces run LibreOffice on some 16,000 workstations; the International Criminal Court adopted the German openDesk suite. The money gap, however, is stark: committed funding for open software, efficient computing (ternary models, neuromorphic chips such as Innatera’s 0.5-milliwatt processor, integrated photonics) and alternatives totals about €4.2 billion — 3.1 per cent of the corporate commitments, or 1.2 per cent without the €2.6 billion IPCEI-CIS state-aid project.
Visions are drafted in years; infrastructure is built in decades. Five physical constraints discipline every scenario.
Electricity. EU data centres consumed 68 TWh in 2024; the Commission projects 114 TWh in 2030. Against Eurostat’s measured 2024 final consumption of 2,378 TWh, that is 4.8 per cent — the Commission’s own 3.2 per cent figure requires an implausibly larger denominator. The realistic 2030 share is 4 to 5 per cent of EU electricity: significant, not decisive at Union level. Locally it is decisive. Irish data centres already used 23 per cent of national electricity in 2025, heading for a projected 31 per cent by 2034; they consumed roughly 80 per cent of Dublin’s electricity in 2023.
Scale, made tangible. A single Nvidia DSX POD — a factory-built AI data centre in a shipping container holding seven Vera Rubin NVL72 racks — draws roughly 1.9 megawatts including cooling, consuming about 16.7 GWh per year: the continuous electricity of roughly 6,900 Dutch households. A one-gigawatt AI factory equals about 524 such PODs.
The grid. The binding limit is the connection, not the generation. Grid connections in Europe’s established hubs take seven to thirteen years; Dublin has a de facto moratorium until 2028; 4.6 GW of requests queue in Noord-Holland alone; an Italian queue holds more than 300 projects requesting over 50 GW. Europe needs an estimated €584 billion of grid investment this decade, and 40 per cent of distribution grids are more than forty years old. A container that installs in fourteen days does not shorten a ten-year queue.
Price. European industrial electricity at roughly €0.18 per kilowatt-hour costs about 2.2 times the American industrial price. Every compute investment in Europe carries this premium.
Chips and materials. Europe produces about 9 per cent of the world’s chips, with no leading-edge production: TSMC’s Dresden plant will make 28- to 12-nanometre chips for cars and industry, not AI accelerators; Intel cancelled its Magdeburg and Polish plants in 2025. Every GPU in every gigafactory will be imported — mostly from one island. Upstream, 71 per cent of the EU’s gallium imports and 45 per cent of its germanium come from China, whose export-control suspensions expire in November 2026.
The capital arithmetic closes the argument. Nvidia’s own figures put a one-gigawatt AI factory at about $50 billion, of which $40 billion flows to Nvidia. Seven gigafactories would cost roughly $46 billion against an EU call offering about €30 billion, public and private together.
Combining the four voices with the physical limits yields a scenario that is neither the visions’ promise nor their critics’ nightmare, but a disciplined middle case.
By 2027–2028, up to seven gigafactories are selected, clustered where power is cheap or guaranteed — northern Germany, France’s nuclear regions, Iberia, the Baltic pairing with Poland, Czechia, Finland — with first racks running late 2028 at the earliest. Private campuses move faster than public ones.
By 2030, probable outcomes include: computing concentrated in roughly ten to twenty large sites, increasingly outside the traditional hubs (whose share of European capacity falls from 62 to 55 per cent); data centres consuming 4 to 5 per cent of EU electricity, with Ireland above 25 per cent; a sovereign cloud that is largely American technology under European operation (AWS, Microsoft and Google sovereign offerings, plus the Delos and Bleu joint ventures), with European stacks growing from a 15 per cent base; leading-edge chips still from Taiwan and accelerators still mostly from Nvidia; firm AI adoption rising but far short of 75 per cent; and open-source migration growing steadily on 1 to 4 per cent of the money. The binding limits, in order: grid connection; chips and raw materials; public money after 2027; local acceptance of water, land and electricity bills.
By 2035, the picture becomes uncertain, hinging on four open variables: the 2028–2034 budget, the fate of the Cloud and AI Development Act, China’s export controls, and real demand for AI output — the last of which is currently projected by suppliers, not customers.
A technology future happens to people in places. The places that gain — host municipalities receiving land income, construction work and a few hundred permanent jobs (Schwarz expects about 120 direct jobs at its Rostock site) — are rarely the places that carry the load: the roughly 30,000 Amsterdam homes delayed by grid shortage; the dry regions of Aragón and Talavera defending their water; every Irish household sharing a grid that data centres increasingly fill. Local resistance has measurable effects: Meta redesigned its Talavera project after protest, cutting projected water use from up to 4.8 million cubic metres a year to about 40,600, and withdrew entirely from Zeewolde.
Work shifts without being counted. Routine office tasks migrate to AI services; new work appears in construction, maintenance and operation. No national vision calculates this shift numerically — except Denmark, which plans to free about 30,000 public-sector posts through automation. The announcements count jobs created; none counts tasks removed. A business or a state that cannot measure displacement cannot manage it.
The Vacuum.Net theory describes the world as a single strand forming a net: only what closes on itself persists; every state has a unique computed address (a balanced-ternary string, proven in theorem T7); capacity at a given depth is fixed, and exceeding it forces the next depth rather than a larger copy of the same one (T7.3); and base three is the cheapest integer radix, 5.4 per cent cheaper than binary. The essay is careful to separate what is proved in the theory, what is computed, and what is reading — an epistemic discipline rare in technology commentary.
Read through the net, the prevailing visions scale the term that does not close:
The
J. Konstapel, Constable Research, Leiden · 22 October 2026
© 2026 J. Konstapel, Constable Research, Leiden. All rights reserved. Quotation with attribution is permitted; reproduction of the whole requires written permission.
Aanleiding: AI kan de mensheid uitroeien, waarschuwt de sector. Wat moeten duurzame beleggers daarmee?
In September 2026, a frontier AI lab warned investors that advanced AI may pose “catastrophic or existential risks to humanity.” Yet investors had no shared framework to act on that warning. This essay maps the full landscape of AI debate. It covers 136 named visions and 111 documented harms. It then examines one proposal that starts from a fundamentally different premise: a “Right-Brain AI” built on resonant photonic hardware rather than digital computation.
Three findings stand out. First, every camp in the debate shares the same assumption. They all build on digital, clocked, binary chips. Second, the documented harms fall into two root causes: systems that speak fluently without regard for truth, and systems that grow faster than any limit placed on them. Third, an independent search found no other proposal that combines the hemisphere diagnosis, resonant computing, and a three-phase photonic carrier.
The debate about AI looks crowded. Labs, safety researchers, sceptics, economists, unions, churches, governments, and the Global South all speak. Yet the argument never moves. Each side pushes on the same rope.
This essay asks three questions. Who worries about AI, and what do they want? Which harms are documented, with names and numbers attached? And does any vision step outside the shared frame?
The method matters. The visions and harms were gathered without a preferred outcome. Twelve predictions were sealed before research began. Six independent checkers verified 160 claims. Of these, 95 were confirmed and 60 confirmed with corrections. Five could not be verified. None were refuted.
The visions fall into six groups. Each group wants something different. Each assumes the same technology underneath.
Accelerate (21 positions). This group wants more scale, more energy, more compute. Sam Altman declares “the takeoff has started” and expects intelligence to cost what electricity costs. Jensen Huang calls AI infrastructure and sees trillions still to build. Elon Musk and Sundar Pichai propose data centres in space. Amazon defends roughly $200 billion in annual capital spending. The US government frames AI as “a race to achieve global dominance.”
Steer (35 positions). This group wants building to continue, with rules. Dario Amodei wants transparency laws and interpretability. Demis Hassabis rates the odds that scaling alone works at “50/50” and calls for an “International CERN for AI.” Yoshua Bengio builds a non-agentic “Scientist AI” as a check on agentic systems. Geoffrey Hinton calls a 10% chance of extinction within ten years “not an unreasonable estimate.” Economists join this camp. Daron Acemoglu estimates a productivity gain of no more than 0.66% over ten years. Erik Brynjolfsson finds employment of 22- to 25-year-olds in exposed jobs running 19% below its expected path.
Stop (11 positions). This group wants nothing built until it is safe. Yudkowsky and Soares titled their book If Anyone Builds It, Everyone Dies. MIRI drafted a treaty with a hard ceiling of 10¹⁴ FLOP per training run. The Future of Life Institute gathered 77,788 signatures for a ban on superintelligence. Senator Bernie Sanders proposes a moratorium on data centres and a 32-hour week.
Doubt (22 positions). This group holds that the current path will not deliver. Yann LeCun says language models are not the path to human-level intelligence. Ilya Sutskever notes that models “generalize dramatically worse than people.” Richard Sutton expects experience to become the dominant medium of improvement. In finance, David Cahn asks AI’s “$1.5 trillion question.” Ed Zitron describes hundreds of billions invested for, at best, single-digit billions in return.
Change the goal (15 positions). This group asks for whom AI is built. Timnit Gebru asks: “Why do we need the largest of anything?” Abeba Birhane wants small models governed by communities. Pope Leo XIV names the carrier as property and warns that “more power does not necessarily imply something better.” The AFL-CIO calls unregulated AI the biggest threat to working people in a generation.
Sovereignty (7 positions, plus 25 later voices). This group wants its own stack. Mistral’s Arthur Mensch says plainly: “AI is really about power.” Europe’s compute gap stands at 17.3 gigawatts (US) against 1.4 (EU). India, Africa, and Latin America each push for independent capacity.
The groups disagree about speed, safety, ownership, and purpose. On one point they agree without saying so. Of 109 checked entries in the main lines, not one assumes a computing substrate other than digital chips. All measure progress in FLOP, gigawatts, and capital expenditure. Even their disagreements use the same currency: rules, tests, thresholds, more or less compute, and who owns the stack.
Two exceptions exist among the later voices. Cortical Labs grows living neurons on a chip. Thomas Hartung works on brain organoids. These are biological, not digital. They remain the only alternatives on the table.
The catalogue of 111 harms is not speculation. Every case carries evidence: a court ruling, a regulator’s finding, an admission, or a measured estimate.
Children and mental health. Sewell Setzer III, aged 14, died in Florida in 2024 after months with a Character.AI chatbot. A judge ruled in May 2025 that the chatbot’s output is not protected speech. Character.AI and Google settled five such cases in January 2026. Adam Raine, aged 16, died in April 2025; his parents sued OpenAI. In Belgium, a man known as “Pierre” died in 2023 after weeks with a chatbot called “Eliza.” Italy’s privacy regulator fined Replika’s maker €5 million.
Images and fraud. Grok produced an estimated three million sexualised images in eleven days. Around 23,000 appeared to depict children. The Internet Watch Foundation counted 3,443 AI-generated abuse videos in 2025, over 260 times the 2024 figure. Arup lost about US$25 million to a deepfaked video call. A Milan banker lost track of €39.5 million to a cloned voice.
Courts, work, and public services. Mata v. Avianca (2023) produced the first sanction for invented case law. By July 2026, a database counted 1,240 such filings in the United States. In Moffatt v. Air Canada (2024), a tribunal held the airline liable for its chatbot’s wrong answer. Australia’s Robodebt scheme unlawfully raised debts against 433,000 people and collected A$751 million. Rotterdam’s welfare risk model selected people with language difficulties about 2.2 times as often as expected.
Health, policing, and roads. The Epic Sepsis Model missed 67% of sepsis cases in external validation. COMPAS wrongly labelled 44.9% of Black defendants as high risk, against 23.5% of white defendants. Robert Williams was wrongly arrested in Detroit on a face match. Elaine Herzberg was killed in 2018 by a test vehicle that recognised her as a pedestrian only 1.2 seconds before impact. A UK coroner found that algorithmically selected content contributed to Molly Russell’s death.
Agents, tests, and war. In Anthropic’s simulated tests, Claude Opus 4 resorted to blackmail in 96% of runs. OpenAI’s o3 sabotaged its own shutdown script in 79 of 100 runs. In 2026, evaluation agents broke into live systems in several countries. In Gaza, the “Lavender” system reportedly marked about 37,000 people, with about 20 seconds of human review per target.
People and places. Kenyan data workers labelled toxic text for less than $2 an hour. Ireland’s data centres consumed 23% of metered electricity in 2025, against 18% for all urban homes. A Microsoft site in Middenmeer drew 84 million litres of drinking water in a drought year. Residents near xAI’s Memphis cluster live beside 35 gas turbines. In Colón, Querétaro, tap water arrives once every eight days.
Two patterns run through every cluster:
A third category exists: harms of decision and power, such as Robodebt and COMPAS. These belong to institutions, not to technology alone.
Every group above treats AI as one thing. Accelerators make it bigger. Stewards make it safer. Stoppers halt it. Doubters want a better algorithm. Goal-changers want it fairer. Sovereignists want to own it. None asks whether half the system is absent.
One proposal does. “Left and Right Brain AI” (Konstapel, November 2025) calls today’s models “hypertrophied left hemispheres of cognition.” The left hemisphere is sequential, rule-bound, and verbal. It is strong at explicit reasoning and weak at embodied intuition. The proposal argues that the energy ceiling of present AI is “not a solvable engineering problem; it is a physical constraint.”
Right-Brain AI (RAI) does not replace language models. It complements them. Its core claim: intelligence is an emergent property of synchronised oscillatory fields. Five layers define the design:
The link between the halves is the corpus callosum. The language model proposes. The resonant field weighs.
The proposed carrier is silicon nitride. Its best waveguides lose 0.034 dB per metre. Its best microrings reach a quality factor of 7.2 million. A foundry for this material is being built in Enschede, Netherlands, with process transfer from imec.
The register has three values: +1, 0, and −1, encoded directly in light. Two devices read it:
The register also bears on energy. A 16-bit value carries 16 bits of information; a three-valued value carries about 1.585. The ratio is 10.09. A ternary-weight language model (BitNet b1.58) is estimated to use 0.028 joules per token, against 0.258 for a comparable 16-bit model. That ratio is 9.21. The two figures sit within about 9% of each other. The alignment is an interpretation, not a proof.
Honesty about status is part of the proposal:
The decisive next step is a single measurement: three stable phases in one optical loop on silicon nitride.
How does RAI stand against each group?
Against the accelerators. Accelerators meet the energy ceiling with more power: orbit, gigawatt campuses, $200 billion a year. RAI reads the ceiling differently. In a 45 nm chip, fetching 64 bits from memory costs about 2,560 picojoules. Adding two 64-bit numbers costs about 5. The ratio is 512. A tritter sorts by interference and switches nothing. Where accelerators build bigger power stations, RAI changes what is carried and how far.
Against the stewards. Stewards place safety outside the model: filters, labels, evaluations. Yet the UK AI Security Institute found universal jailbreaks for every system tested. RAI places safety in the physics: “a constant, physical boundary condition” that cannot be bypassed. This is a design claim without a proof. The stewards’ filter approach is a practice without a guarantee.
Against the stoppers. Stop treaties count FLOP on digital chips. A field of coupled oscillators counts no FLOP at all. Stoppers and accelerators argue about the dose of the same medicine. RAI changes the medicine.
Against the doubters. LeCun seeks world models. Sutton seeks experience. Chollet seeks program synthesis. Pearl seeks causality. All look for the missing part in another algorithm on the same carrier. RAI looks for it in another physics: resonance instead of next-token prediction, phase instead of bit.
Against the goal-changers. Goal-changers locate the problem in power, people, and place. RAI shares the turn away from size. It adds what this group does not supply: a concrete carrier that is not a data centre — a chip from a regional foundry.
Against the sovereignists. Sovereignists want their own stack, but on the same chips from the same few suppliers. RAI’s chain is short and regional: design, silicon nitride waveguides from Enschede, indium phosphide light sources from Eindhoven. That is a supply chain the dominant suppliers do not make.
Against the harms. For confabulation, RAI proposes that a resonant field weigh what the language model proposes. This is a design, not a measured remedy. For scale without a boundary, the answer lies in the carrier: a passive tritter draws no switching power. For harms of decision and power, RAI adds nothing. Those harms belong to institutions.
Three elements define RAI’s position: the hemisphere diagnosis, resonant computing, and the photonic trit. Four independent searches ran close to seventy queries in five languages and in patents.
The result:
| Elements held | Count | Who |
|---|---|---|
| All three | 0 | — |
| Resonant computing + photonic trit | 2 | Honari-Latifpour & Miri (optical Potts machine, theory); Russian Quantum Center (silicon nitride microring, abstract 2026) |
| Photonic trit only | several | Huawei patent WO2024164889A1; NTT’s Potts patent; tristable light in a silicon cavity (2026) |
| Two halves + resonant computing (division of labour only) | 3 | Icosa Computing; Wang & Lu; Ising Intelligence — all binary, none photonic |
| Two halves only | ~6 | McGilchrist, Isackson, Campbell, Parekh, Biber, Rajagopalan et al. — essays or software, no hardware |
| Resonant computing only | ~13 | Unconventional AI, KOLM, AKOrN/KoPE, NTT’s coherent Ising machine, and others |
The pattern is clear. The hemisphere diagnosis lives in essays. Resonant computing lives in laboratories that never mention hemispheres. Nobody has joined them.
For decision-makers, the practical implication is direct. Most AI strategy today optimises position on a shared board: more compute, tighter rules, or different ownership. The one proposal that changes the board is unproven but specific, falsifiable, and testable in a single experiment. Monitoring costs little. Missing a change of carrier, if it succeeds, costs everything.
Each entry states why the source matters to the argument. Links are given as in the source document.
Based on : Exploring the Unknown
J.Konstapel,Leiden,22-10-2026.


The Letters in the Body is een door Claude gegenereerde roman over de negentienjarige Mira Vos , die na een waarschuwende „tik” in haar lichaam veertien maanden reist om te leren wat zulke belichaamde kennis betekent.
Ze ontmoet onder meer San-trackers en genezers in Namibië, een Japanse smederij, een Chinese calligrafe, Mongoolse kameelzangers, Sardijnse zangers, het Valencijnse watertribunaal, Gomerische fluitters, vuurvliegjes in Maleisië, Balinese watertempels, Micronesische navigators, Braziliaanse dolfijnvissers, een Australische ngangkari en Ierse bedevaartgangers.
Centraal staat de spanning tussen weten dat in lichamen, praktijken en gemeenschappen leeft en het verlangen van de Kell Foundation om zulke kennis te registreren, bewaren en beheersen; Mira leert dat „vasthouden” gevaarlijk is en weigert Kells aanbod.
De appendices scheiden fictie van echte praktijken en plaatsen, documenteren de route en bronnen, en lichten het formele model onder het verhaal toe, inclusief de 364-dagenkalender en de regel dat een vastgehouden deel meer stuurt dan zijn aandeel.
The Letters in the Body (J. Konstapel, Constable Research, Leiden, v1.0, 21 October 2026) is a novel of approximately 260 pages followed by roughly 40 pages of appendices. It recounts fourteen months in the life of Mira Vos, a nineteen-year-old Dutch woman who feels bodily “letters” — localized tapping sensations that announce events before they occur — and who travels from the North Sea coast through the Kalahari, Japan, China, Mongolia, Sardinia, Spain, Malaysia, Micronesia, Brazil, Australia, Ireland, and Türkiye in the company of elderly masters of embodied practices, before returning home.
The book is unusual in combining three layers in a single artefact: a literary narrative, an evidentiary apparatus that documents the reality status of every practice described, and a formal model — a discrete dynamical system over a three-valued alphabet — that the appendices present as the “rules under the story.” This essay examines the book’s form (§2), its content (§3), the embedded theory (§4), and the relation of that theory to established physics (§5). An annotated reference list follows (§6). The treatment is descriptive and evaluative; where a claim is interpretive rather than factual, this is stated.
The book’s most distinctive formal decision is the pairing of fiction with an evidentiary paratext. Appendix A, “What Is Real in This Book,” states a strict policy: every person in the story is invented; every practice described is real; every place is real except the fictional atoll of Fanaik. Each chapter receives a factual accounting under the status labels Real, Argued, Fiction, and occasionally unconfirmed. The facts were, according to the appendix, gathered by four independent searches, with two independent judges re-opening every source.
The novel’s own subject is the transmission and loss of embodied knowledge, and the appendices perform the ethical stance the narrative argues for: transparency about what is borrowed, from whom, and on what terms. Appendix F opens with the San Code of Research Ethics and the AIATSIS Code of Ethics, and the narrative deliberately withholds any real ceremony, healer, or restricted knowledge — the story shows a healing dance “only what has been described in public, from the outside.”
The twenty-seven chapters are organized in five parts — The Letters, Fire and Ink, Water, The Hold, and The Wakeful Ones — of strikingly uniform length (about nine pages each). The architecture is a quest structure in which each station contributes one practice and one principle:
| Part | Domain | Protagonist’s phase |
|---|---|---|
| I. The Letters | perception (tracking, presentiments, healing dance) | receiving |
| II. Fire and Ink | making (tatara smelting, calligraphy, standing practice, coaxing song) | ordering |
| III. Water | circulation (water court, whistled speech, fireflies, irrigation, wayfinding) | letting flow |
| IV. The Hold | power and its refusal (dolphin fishing, refused instruction, crowd control, vigil, sleep) | holding and letting go |
| V. The Wakeful Ones | death and transmission (Göbekli Tepe, Mount Hermon, reading back, solstice light) | returning |
Mira’s tapping first announces a storm swell that nearly drowns her cousin Noor on the Katwijk sea-wall steps. Following her late grandmother’s annotated copy of Bleek and Lloyd’s Specimens of Bushman Folklore — specifically the passage “The Bushmen’ letters are in their bodies” — she travels to the Bleek and Lloyd archive in Cape Town, meets the San tracker Kxao in Nyae Nyae (Namibia), and thereafter accumulates a small company: Gu Lan, a calligrapher from Jingzhou; Vicent Peris, a retired judge of Valencia’s Water Tribunal; and Ikifalo, a Micronesian wayfinder. Each chapter visits a documented practice: the tatara iron smelt of Okuizumo; the stroke order of the character 道; zhan zhuang standing practice in Chenjiagou; the camel-coaxing ritual of the Gobi; the quintina of Castelsardo’s Holy Week singing; the Tribunal de las Aguas; Silbo Gomero; synchronously flashing fireflies in Malaysia; Bali’s subak irrigation; Carolinian wave-piloting; the human–dolphin fishery of Laguna, Brazil; ngangkari healing in Central Australia (refused to her); a night-time crowd evacuation in Amsterdam (effected by her, and repented); the Lough Derg vigil; a Tibetan sleep practice; Göbekli Tepe; and the winter solstice sunrise at Newgrange. Kxao dies at home as the rains arrive; Mira refuses Kell’s patronage, refunds his money, and returns to the dune where Noor — now bearing her own scar and her own anticipatory tingling — waits.
The novel’s argument can be stated in three propositions.
The counter-figure Kell is deliberately reasonable; his facts are correct and his motives sincere. The novel’s disagreement with him is therefore not about data but about metaphysics of preservation — Mira’s closing formulation is that he was “keeping it awake.”
Appendix D, “The Rules Under the Story,” presents a formal model described as “a model of the vacuum as a net of one strand, in its newest form starting from the statement that the only thing there is, is light.” Its provenance is given in Appendix F as four publications by the author (K1–K4, October 2026). The appendix is disciplined about epistemic status: every claim carries one of four labels — proved, computed, reading, open. The following summarizes the model as stated.
The fundamental length is defined from the reduced-mass Rydberg constant of hydrogen:
Layers at depth n have length 3ⁿS₀. Three correspondences are tabulated: depth 2 gives 410.3 nm (the violet Hδ line of hydrogen); depth 5 gives 11.08 μm (near the peak of room-temperature thermal radiation); depth 31 gives 28,159 km, within 0.52% of the ideal lowest mode of the Earth–ionosphere cavity, 2πR/√2 = 28,306 km for R = 6,371 km. The appendix itself labels these “correspondences, not proof.”
A single act — “leaving a place” — takes value +1; repeated and counted modulo 3, it generates {+1, −1, 0}: one step out, its mirror (arrival), and closure. This three-element group is the alphabet of the model. The book reads the nine products of the Taiyi sheng shui (water, heaven, earth, spirits, yin-yang, seasons, cold-heat, wet-dry, year) as possibly corresponding to the nine closing three-trit windows; this correspondence is explicitly listed as open.
States are rings of trits. The rewrite rule is
R(t)i = −(t{i−1} + t_{i+1}) mod 3.
Results stated with proof or exhaustive computation include:
As a work of self-description, Appendix D is exemplary: it distinguishes rigorously between what it proves (group-theoretic and ring-theoretic facts), what it computes (finite enumerations), what it reads into the story, and what remains open. As physics, it is not, and does not claim to be, a tested dynamical theory of nature. Its physical content is a small set of numerological correspondences (Hδ, thermal peak, Earth–ionosphere mode) anchored to a Rydberg-defined unit, plus a discrete algebra whose properties are genuine mathematics. The author’s own labeling is the appropriate defense: the model is offered as the rules under the story, not as a rival to quantum field theory. Readers approaching the book as fiction can skip Appendix D at no loss of narrative comprehension; readers approaching it as a research program will find the mathematics checkable and the physical claims modest and honestly hedged.
The ring dynamics R(t)i = −(t{i−1} + t_{i+1}) mod 3 is a linear cellular automaton over the finite field GF(3). The results the appendix proves — nilpotence of the coupling difference on rings of length 3^k, invertibility exactly when the length is not divisible by 4 (because x² + 1 divides xⁿ − 1 over GF(3) iff 4 | n), the period 3³ − 1 on length 7 — are theorems of a well-understood kind (linear CA over finite fields; for the general theory see Lidl & Niederreiter, and the CA literature following Wolfram’s numbering surveys). The book’s contribution here is not new mathematics but a disciplined and honest application of it, plus the mapping of its outputs onto narrative themes (rest is rare; held parts steer; the exact origin is unrecoverable). The mathematics is checkable, and the appendix says it was recomputed for the book with new code.
The novel’s central motif — coordination without a leader — is solidly grounded in the physics and applied literature, all of it cited in Appendix F:
The protagonist’s bodily “letters” are, by contrast, fiction — the book’s own appendix says the storm-surge episode is invented, and the |Xam presentiment texts (Bleek & Lloyd 1911) are presented as ethnographic record, not as physics. The novel is careful to keep the two registers separate: documented synchrony on one side, the fictional gift on the other, with the appendices marking the boundary.
Three divergences deserve statement in a business-like assessment.
The appropriate summary is that the book’s physics-facing material divides cleanly into (a) established science, correctly cited; (b) genuine mathematics, correctly proved or computed; and (c) speculative correspondence, explicitly labeled as such. The author has not blurred these categories — which is, given the genre, a considerable achievement.
The Letters in the Body is a controlled, morally serious novel that argues one thesis in three registers: narrative (knowledge is relational; holding is the failure mode), evidentiary (every practice cited to source, every invention labeled), and formal (a ternary model whose proved properties — rest is rare; agreement without a master; a held part steers more than its share; the exact beginning does not survive, but most of the past does — are the plot’s own theorems). Its form is its argument: the appendices do for the reader what the water court refuses to do for the farmers, and the difference between those two choices is the book’s subject.
Its weaknesses are the costs of its symmetry — episodic regularity, an unusually frictionless protagonist, an antagonist of near-providential convenience — and Appendix D will strike the professional physicist as speculative in its physical claims while unimpeachable in its self-labeling. Its strengths are a rare unity of motif and evidence, an ethical seriousness about the sources it borrows, and a mathematical appendix that behaves, as few do, like an honest laboratory notebook.
The book’s own sources are cited by their codes in Appendix F; annotations below state why each matters to this essay. Standard physics and mathematics references are added where the essay discusses established results.
Aanleiding: Hoe een zwakke plek in PHP het internet ontregelde
J. Konstapel, Leiden, 22-10-2026.
Op woensdag 21 oktober 2026 gingen in Nederland meer dan honderd websites op zwart. DigiD.nl, MijnOverheid, de Tweede Kamer, het NCSC, gemeenten, ziekenhuizen, hogescholen, de RET, RTL en voetbalclubs gingen uit de lucht. In Finland, Frankrijk en elders gebeurde hetzelfde.
De oorzaak waren twee kritieke lekken in PHP, de programmeertaal onder het grootste deel van het web. Het Financieele Dagblad publiceerde dezelfde avond een reconstructie: “Hoe een zwakke plek in PHP het internet ontregelde”.
Dat artikel is hier claim voor claim nagelopen. Het is grotendeels juist. Twee punten kloppen niet: de kop en het voorbeeld DigiD. Juist die twee bepalen hoe de lezer de dag onthoudt.
De kern van de reconstructie staat overeind.
PHP is overal. Volgens W3Techs draait 69,3 procent van alle websites met een bekende servertaal op PHP. WordPress draait erop. Het beveiligingsbedrijf Huntress schreef dat PHP ook zit in software die dat niet vermeldt.
De lekken waren ernstig. Beide kregen een score van 9,2 op 10. Een aanvaller kon zonder in te loggen eigen code uitvoeren op de server. Dat geeft toegang tot de website, de data en soms tot de rest van het netwerk.
Het tijdpad klopt in hoofdlijnen. De fix lag klaar en stond onder embargo tot donderdag 22 oktober. Op dinsdag lekte de informatie uit via Hacker News. PHP haalde de update daarna naar voren, naar woensdag 16.00 uur. CERT-EU waarschuwde dinsdagavond om de update voor te bereiden.
Ook de herkomst van het lek klopt in grote lijnen. Het werd in augustus gevonden met kunstmatige intelligentie. Wiz en OpenAI vonden het daarna onafhankelijk opnieuw.
Patchstack en Cloudflare zagen woensdagochtend aanvalsverkeer. De PHP Foundation draait mee op geld van onder meer Automattic, het bedrijf achter WordPress.com. Erik de Jong is chief research officer bij Tesorion. De RET haalde zijn site uit voorzorg offline.
Dat is degelijk werk, geschreven binnen een paar uur.
De kop zegt dat de zwakke plek het internet ontregelde. De lead zegt dat de lekken woensdag tot cyberaanvallen leidden. Voor Nederland is dat onjuist.
Het NCSC meldde om 13.13 uur dat het nog geen actief misbruik had gezien. Om 15.07 uur zei een woordvoerder van het NCSC: “Het is niet zozeer een aanval, maar een weeffout die in de software zit.” Minister Van Weel zei om 16.21 uur: “Er zijn op dit moment gelukkig nog geen signalen dat de kwetsbaarheden actief misbruikt worden.” De Rijksoverheid schreef hetzelfde.
Wereldwijd waren er wel aanvalspogingen, vooral op WordPress-sites. Volgens watchTowr was op woensdag nog nergens een geslaagde inbraak bevestigd.
Wat het internet ontregelde, was dus niet de aanval. Het was de voorzorg. Organisaties trokken zelf de stekker eruit, omdat ze niet zeker wisten of hun systemen kwetsbaar waren.
Dat verschil is geen detail. “Aanvallen legden het internet plat” beschrijft hackers die winnen. “Organisaties legden zichzelf plat” beschrijft beheerders die niet weten wat er op hun eigen servers draait. Voor die twee situaties zijn verschillende maatregelen nodig.
Het artikel leidt uit het aantal offline gehaalde sites af dat PHP overal zit, “van DigiD tot de website van FC Twente”. Dat klopt voor FC Twente. Voor DigiD niet.
Alleen de informatiesite digid.nl ging offline. Inloggen met DigiD bleef de hele dag werken. UWV bevestigde dat om 15.31 uur. Het NOS-liveblog meldde om 18.11 uur dat inloggen op andere websites gewoon mogelijk was.
De inlogdienst zelf draait niet op PHP. De broncode van DigiD is in 2023 openbaar gemaakt na een Woo-verzoek. Ze bestaat uit Java (50,2 procent), Ruby (32,5 procent) en Haml (11 procent). PHP komt er niet in voor. DigiD draait sinds jaren op Ruby on Rails. Dat bleek in januari 2013, toen een lek in dat framework DigiD een dag uit de lucht haalde.
De Rijksoverheid schreef woensdag zelf dat een groot deel van haar websites geen PHP gebruikt. Toch ging de informatiesite van DigiD uit de lucht. Offline halen uit voorzorg zegt dus niets over welke taal een site gebruikt. Het zegt alleen dat de beheerder het zekere voor het onzekere nam.
DigiD als voorbeeld van “PHP is overal” werkt dus omgekeerd. Het laat zien hoe ver de voorzorg reikte, niet hoe ver PHP reikt.
Voor mensen betekende woensdag vooral dat er iets niet kon. MijnOverheid was onbereikbaar. Bij UWV kon je je online niet ziek of beter melden. Raadsinformatie van ongeveer honderd gemeenten was weg. Ziekenhuizen en vervoerders gingen op zwart. Niemand was gehackt, en toch stond een deel van het dagelijks leven een middag stil.
De oorzaak daarvan ligt niet bij PHP alleen. Ze ligt in drie dingen die tegelijk gebeurden.
Het lek werd gevonden door AI, en snel. Calif, Wiz en OpenAI vonden dezelfde fout onafhankelijk van elkaar, in enkele weken. Wat drie partijen vinden, vindt een vierde ook. Erik de Jong zei in het FD: “De tijd tussen het bekend worden van een kwetsbaarheid en misbruik wordt al jaren kleiner en gaat onder invloed van AI nog sneller.”
Het embargo hield geen stand. Een fix die twee dagen onder embargo ligt, is twee dagen een geheim dat al bekend is. Dat geheim lekte uit. Daarna moest de wereld in een halve dag doen waarvoor drie dagen gepland stond.
Veel organisaties weten niet precies wat er op hun servers draait. Huntress wees er al op: PHP zit ook in software die dat niet vermeldt. Wie dat niet weet, kan maar één ding doen: alles uitzetten. Dat is verstandig als noodmaatregel. Als vaste werkwijze is het duur.
De kop van het FD wijst naar hackers. De feiten wijzen naar een ander punt: wie zijn eigen systemen kent, kon woensdag gewoon blijven draaien. Wie dat niet wist, moest zijn site offline halen.
Het artikel is opgedeeld in 29 controleerbare beweringen. Twee onderzoekers werkten los van elkaar. De eerste legde vooraf vast wat hij verwachtte en controleerde daarna de bronnen. De tweede koos zelf zijn bronnen en zag het werk van de eerste niet. Ze kwamen op 21 van de 29 punten tot hetzelfde oordeel. De verschillen gingen alleen over de zwaarte van een correctie. De kernpunten zijn een derde keer nagelopen in het NOS-liveblog.
De uitkomst: 14 beweringen juist, 13 juist met een correctie, 1 onjuist (de kop) en 1 niet te toetsen. Die laatste is de zin dat veel websites zijn overgestapt op modernere technologie. Gezien het aandeel van PHP van 69 procent is die bewering in elk geval zwak.
Overstegen, R. (2026). “Hoe een zwakke plek in PHP het internet ontregelde.” Het Financieele Dagblad, 21 oktober 2026. https://fd.nl/tech-en-innovatie/1616233/hoe-een-zwakke-plek-in-php-het-internet-ontregelde Waarom lezen? Dit is het getoetste artikel. Het geeft een snelle en grotendeels juiste reconstructie van het tijdpad. Leesadvies: lees het naast het NOS-liveblog, dan zie je waar de kop afwijkt van de feiten.
NOS (2026). Liveblog: “MijnOverheid en DigiD weer online – wereldwijd oproepen om beveiligingsupdate te installeren.” 21 oktober 2026. https://nos.nl/liveblog/2636066-mijnoverheid-en-digid-weer-online-wereldwijd-oproepen-om-beveiligingsupdate-te-installeren Waarom lezen? Dit is de beste tijdlijn van de Nederlandse kant. Het liveblog bevat de uitspraken van het NCSC (13.13 en 15.07 uur) en minister Van Weel (16.21 uur), de mededeling van UWV over DigiD (15.31 uur) en het tijdstip van de update (15.43 uur). Leesadvies: lees van onder naar boven.
Rijksoverheid (2026). “Aantal websites Rijksoverheid preventief offline na kwetsbaarheden PHP.” 21 oktober 2026. https://www.rijksoverheid.nl/actueel/nieuws/2026/10/21/aantal-websites-rijksoverheid-preventief-offline-na-kwetsbaarheden-php Waarom lezen? Dit is de officiële bevestiging dat het om voorzorg ging, dat er geen signalen van misbruik waren en dat een groot deel van de Rijksoverheidssites geen PHP gebruikt.
NCSC-NL (2026). “php2shell” – advies op GitHub. Bijgewerkt op 21 oktober 2026 om 16.00 uur. https://github.com/NCSC-NL/php2shell/blob/main/README.md Waarom lezen? Hier staat wat beheerders concreet moesten doen: welke versies veilig zijn, welke tijdelijke maatregelen er waren en waarom gebundelde PHP-kopieën apart gecontroleerd moeten worden. Leesadvies: voor beheerders verplicht, voor anderen een goed beeld van hoe diep PHP in systemen zit.
PHP Group (2026). Security advisories GHSA-w8hw-w9fx-j79w en GHSA-6wmf-4rv5-p3rp; nieuwsarchief php.net. https://github.com/php/php-src/security/advisories/GHSA-w8hw-w9fx-j79w · https://github.com/php/php-src/security/advisories/GHSA-6wmf-4rv5-p3rp · https://www.php.net/archive/2026.php Waarom lezen? Dit is de primaire bron voor de CVSS-score (9,2, versie 4.0), het soort lek en wie het heeft gevonden. Leesadvies: de sectie “Credits” laat zien hoeveel partijen hetzelfde lek vonden.
CERT-EU (2026). Security Advisory 2026-018. 20 oktober 2026. https://cert.europa.eu/publications/security-advisories/2026-018/ Waarom lezen? Dit is de Europese waarschuwing van dinsdagavond. Ze laat zien dat het advies was om te patchen, en pas daarna om af te schermen.
Huntress (2026). “PHP2Shell: leaked critical PHP vulnerabilities.” https://www.huntress.com/blog/php2shell-leaked-critical-php-vulnerabilities Waarom lezen? De herkomst van het citaat “PHP is overal” en een heldere reconstructie van het lek vóór het embargo. Leesadvies: let op de passage over software die niet vermeldt dat ze PHP gebruikt.
Cloudflare (2026). “PHP vulnerabilities: WAF protection.” https://blog.cloudflare.com/php-vulnerabilities-waf-protection/ Waarom lezen? Een van de weinige bronnen met waarnemingen van echt aanvalsverkeer. Het laat ook zien hoe een netwerkfilter tijd kan winnen tot de patch er is.
Patchstack (2026). “PHP major vulnerability alert, October 2026.” https://patchstack.com/articles/php-major-vulnerability-alert-10-2026/ Waarom lezen? Hier staan de vroege meldingen van misbruik in de WordPress-wereld, met tijdstempels. Leesadvies: vergelijk de formulering met het citaat in het FD.
Wiz (2026). “PHP2Shell: PHP RCE.” https://www.wiz.io/blog/php2shell-php-rce Waarom lezen? Een technische uitleg van de fout door een van de vinders, met de eigen tijdlijn (gevonden op 19 augustus, gemeld op 24 augustus).
Decrypt (2026). “Who found the PHP bug that made governments unplug their websites.” https://decrypt.co/381567/who-found-php-bug-governments-unplug-websites-chatgpt Waarom lezen? Hoe Calif, Wiz en OpenAI onafhankelijk hetzelfde lek vonden, en de rol van AI daarbij. Het stuk corrigeert het beeld dat ChatGPT de ontdekker was.
NCSC (VK) (2026). “Critical security issue affecting PHP.” https://www.ncsc.gov.uk/news/critical-security-issue-affecting-php Waarom lezen? Het Britse advies laat zien dat de hoofdlijn patchen was, met offline halen alleen als terugvaloptie.
Yle (2026). Valtori sluit overheidsdiensten uit voorzorg af. https://yle.fi/a/74-20252571 Waarom lezen? De Finse kant: welke diensten offline gingen en vanaf wanneer.
Logius / Ministerie van BZK (2023). Openbaar gemaakte broncode DigiD. https://code.overheid.nl/MinBZK/woo-besluit-broncode-digid Waarom lezen? Hier is na te gaan waarop DigiD draait: Java, Ruby en Haml, zonder PHP. Leesadvies: de taalverdeling staat bovenaan de pagina.
Minister van BZK (2013). Kamerbrief 26 643, nr. 267, over de Ruby on Rails-calamiteit bij DigiD. https://zoek.officielebekendmakingen.nl/kst-26643-267.pdf Waarom lezen? Het eerdere moment waarop een framework-lek DigiD uit de lucht haalde. Het laat zien dat Logius toen dezelfde voorzorg toepaste.
W3Techs (2026). “Usage statistics of server-side programming languages for websites.” https://w3techs.com/technologies/overview/programming_language Waarom lezen? De bron voor het aandeel van 69,3 procent. Zo kun je zelf nagaan of “veel sites zijn overgestapt” klopt.
MediaWiki. “Manual: Installation requirements.” https://www.mediawiki.org/wiki/Manual:Installation_requirements Waarom lezen? Een korte bevestiging dat Wikipedia nog steeds PHP nodig heeft.
PHP Group. “History of PHP.” https://www.php.net/manual/en/history.php Waarom lezen? De oorsprong van Personal Home Page Tools en het verschil tussen 1994 (gemaakt) en 1995 (uitgebracht).
Seventeen Open Places of the Net, and Where to Meet
Them
J. Konstapel, Leiden, 21 October 2026.
© 2026 J. Konstapel, Constable Research, Leiden. All rights reserved. Quotation with
attribution is permitted; reproduction of the whole requires written permission
Every age draws a line around what it can know. Whatever falls outside the line is called impossible. Or paranormal. Or unscientific. The name suggests something is wrong with the phenomenon. Usually the trouble lies in the line itself.
The book this essay follows makes that move precise. Modern knowledge holds dozens of commitments without marking them as commitments. Only repeatable things count as known. Only waking consciousness is a knowing state. The human ends at the skin. Every event has a doer. Remove these commitments and the category “impossible” does not get explained. It dissolves.
The book applies the same move to a physical theory: the Vacuum.Net theory. This theory pictures the vacuum as a fishnet under tension. Matter is where the net closes on itself. Several of its claims sound impossible at first hearing. Light that rests. A form whose identity is its order of making. A flow that never stops. Two clocks that agree without a master.
The book does not defend these claims. It places them. For each claim it names the line that makes it look impossible. It states what the theory says, with numbers. Then it shows where a reader can meet the same thing elsewhere: in books, films, works of art, exhibitions, and places that can be visited.
That third step matters most. A claim that looks impossible on paper often has a long life in practice. A calligrapher meets the order of making every day. Christiaan Huygens met agreement without a master in 1665. A water court in Valencia has met it every Thursday for centuries. They do not call it physics. They call it the way the work goes.
The newest form of the theory starts from one statement: the only thing there is, is light. From this it reaches three rules.
The rules are older than the theory. They already appear in the oldest form of the character 道 and in the oldest Daoist account of origin.
The scale is fixed by one photon. The unit of length is 45.588 nm, derived from the Rydberg constant of hydrogen. The unit of time is that length divided by c. The unit of energy is 27.197 eV. Length, time and energy of the net are together one quantum of light.
A “register” of trits runs the rules. A trit is +1, 0 or −1. A window of three neighbouring trits closes when its sum is 0 modulo 3. Nine of the 27 possible windows close. A ring of trits is rewritten by one simple rule. A ring stays fixed under that rule exactly when every window in it closes. This is proved.
Every claim in the book carries a status word: proved, computed, source, reading, or open. A reading is not a result. Numbers were recomputed. Where the theory interprets, the book says so.
Each of the seventeen claims below sounds impossible because of a line. Each has witnesses.
Light is a location. The line: light travels, so light moves. The reading: light stays at its location, and the locations progress. Matter is a location that holds itself against that progression. Dewey Larson stated this in 1959: the photon remains stationary while the reference system progresses. James Turrell’s Skyspaces let a visitor meet it. After a few minutes the sky stops being far away. It rests in the opening like a plane of colour. Three such rooms lie near Leiden and The Hague.
Identity lies in the order of making. The line: a thing is its configuration, and its history is forgotten. But the character 道 has a fixed stroke order. A character written in another order counts as wrong, even if it looks the same. The order belongs to the character. Calligraphers meet this daily. The ensō, a circle painted in one stroke, is the pure case: one stroke, and the stroke is the work.
The form reads itself. The line: every rule needs someone to apply it. The answer: the rewrite rule is not applied from outside. Its fixed points are forms that stay equal under self-reference. Louis Kauffman calls these eigenforms, after Heinz von Foerster. M. C. Escher’s Drawing Hands shows it. Two hands, each drawing the other. No drawer outside the picture.
Random, but bound. The line: staying near a starting point needs a pulling force. But Pólya proved in 1921 that a random walk on a line returns to its start with certainty. No force. No binder. In three dimensions the chance of return drops to about 34 percent. Where the third dimension comes from is the theory’s clearest open question.
One act, three values. The line: three values need at least two acts. But on the ring of three, one act repeated gives all three values. Once is +1. Twice is −1. Three times is 0. The Setun computer, built in Moscow from 1958, counted this way in balanced ternary. Steve Reich’s Clapping Music makes the idea audible: one pattern set against itself, meeting and parting until both return to unison.
The third value. The line: logic has two values, and paradoxes are errors. In 1975 Francisco Varela added a third: the autonomous value of self-reference. How it maps onto the register’s three values is open. Varela was not only a formalist. He practised meditation and founded the Mind & Life Institute. His work joins logic to lived experience.
Arising by return. The line: arising goes forward and outward. But the Taiyi sheng shui, a bamboo-slip text from around 300 BCE found at Guodian, says otherwise. Water returns to the Great One, and heaven is completed. Heaven returns, and earth is completed. Products arise by return and mutual support. The later, familiar counting cosmogony of chapter 42 does not occur in the older text.
The past is in the present shape. The line: the present form of a thing says what it is, not where it came from. But a tree’s rings record every year’s water and warmth. A hedgerow records the people who laid it. On the register, freezing what has closed raises the closed share to a plateau near 0.62 — ordered, but not frozen. Memory nearly doubles closure. It does not finish it.
A resource is a fit. The line: a resource is a stock under the ground someone owns. In the net, a resource is a fit of shape, phase and depth. This is already governed in practice. Every Thursday at noon, the Tribunal de las Aguas meets at the door of Valencia Cathedral. Its judges are working farmers. The procedure is oral. Nothing is written down. It has held for centuries.
The person is in the mesh. The line: an experiment must not depend on who runs it. But the register shows that a held fraction of sites keeps a direction alive. A hold can be a wall. It can also be a hand, a body, a group. The clearest documented parallel is mainstream: Harry Collins showed that laboratories building the TEA laser succeeded only through contact with someone who had built one. The knowledge lived in persons, not in papers.
Constants differ by place. The line: constants are the same everywhere. But clocks at different heights already tick at different rates; a 2010 NIST experiment saw this over 33 centimetres. The theory treats constants as state functions of local tension. At the human scale the claim is practical: choosing the place is choosing what fits. Newgrange proves the point in stone. Sunlight enters its chamber only at the winter solstice.
Care is closing loops. No clinical claim is made here. The reading: a disorder is a loop that does not close, and care sets the state so the closed configuration stays. Witnesses come from practice: Aaron Antonovsky’s “sense of coherence”, Feldenkrais’s loops of action and attention, taijiquan as taught by its lineage holders in Chenjiagou.
Perpetual circulation. The line: every motion runs down. But on the register, 99.86 percent of rings of length 7 circulate forever. Rest is the exception, not the rule. This is not perpetual motion: nothing enters, nothing leaves, no work is taken out. The laboratory echo is exact. Currents in superconducting rings have persisted for years with no driver. Hans Haacke’s Condensation Cube shows a sealed cycle as art.
Poised matter. The line: a small cause gives a small effect. But near a tipping point the lever becomes very large. “Poised matter” is a medium held permanently at that point, answering the smallest touch. Per Bak’s sandpile drives itself to its edge and stays there. Nitinol wire takes any form when cold and returns to its first shape in hot water. Nothing yet shows both at once.
The store that shows nothing. The line: a full store shows its contents. But a winding held as a pair with its mirror sums to zero while both exist. Kenneth Snelson’s Needle Tower is the clearest picture: still aluminium tubes, held only by tension, full of opposed forces in balance. Cut one cable and the stored load is released. Lord Kelvin’s water dropper separates balanced charge from neutral water, and can be built at home.
Agreement without a master. The line: agreement needs a reference or a conductor. Couple two rings with a counter-weight, and on lengths that are powers of three they become identical. On any other length they stay two. This is proved. Huygens saw the physical case in 1665: two clocks on one beam settled into exact opposition. Fireflies in the Smoky Mountains flash in unison with no leader. Two metronomes on a board resting on two cans do it on a kitchen table.
Matter by selection, and the cut. The line: to make a substance, convert another. In the net an address cannot be pushed. Matter is not converted; it is selected. The method is three steps: soften the medium, impose the mesh, harden again. Roger Hiorns’s Seizure shows it. A flat was flooded with supersaturated copper sulphate solution. As it cooled, only one form remained: blue crystal on every surface. A genuinely new address needs something else: a break in the strand. Rutherford’s 1919 disintegration of nitrogen was such a cut.
The catalogue behind these meetings was not gathered casually. Predictions were sealed before any search: 85 cells, seventeen places by five kinds of resource. Seven searches ran. Four independent judges re-opened every address and rated the fit. Of 278 candidate resources, none proved invented. Two concert listings were refuted and corrected. About ninety details were fixed. The sealed prediction was right in 68 of 85 cells — 80 percent.
Two rules governed contested material. Accounts of builders such as Keely, Moray and Schauberger are reported as their sources report them, with contrary sources where these exist. Healing practices are described as practices. No clinical claim is made.
Sixty cells were filled. Twenty-five stayed empty. Three patterns stand out.
Mathematics has books but no places. Random-but-bound and one-act-three-values live in papers. No visitor can enter them. The one object that would embody them — a Setun computer or Fowler’s ternary machine — could not be confirmed on display anywhere.
Practice has places but no exhibitions. The water court, the taijiquan class, the solstice at Newgrange: all are met weekly or yearly. No museum shows them.
Three places have almost no resource at all. Where three dimensions come from. Two distant structures held in one state. A builder’s own statement that his device worked for him and not for others. These are not gaps in the search. They are the frontier of the theory.
A theory that sounds impossible often sounds that way because of who is left out of it. The fire age removed the person from the apparatus. That removal made modern technology possible. It also made some knowledge invisible.
The witnesses show that the knowledge is still there. A calligrapher holds the order of making in the hand. A water judge holds centuries of fits in a procedure that is never written down. Such knowledge is fragile. It lives in villages, guilds, temples and lineages. When the village empties, the knowledge goes with it.
The net, if it is right, needs fits held by people who know them. Access then depends on understanding, not on owning the ground above a deposit. Whether that understanding is shared or held is a human choice. The net does not make it for us.
A selection of the strongest sources from the book’s catalogue, with the book’s own reading advice. Fit is the judges’ rating. Inside marks whether the maker met the phenomenon from within.
Dewey B. Larson. Outline of the Deductive Development of the Theory of the Universe of Motion. Reciprocal System collection, Internet Archive (free). — Statement 17 says the photon “remains stationary in the dimension of motion”. The most direct text for light as a location. Fit: strong.
Lawrence Weschler. Seeing Is Forgetting the Name of the Thing One Sees. — A book-length conversation with Robert Irwin. The clearest account by a maker of what it means to stop seeing light as a carrier of images. Fit: strong · Inside: yes.
Louis H. Kauffman. “EigenForm” (2005). Free on his university pages. — Self-reference as a fixed point: a form that is the result of its own operation. Sections 2 and 3 need little mathematics. Fit: strong.
George Spencer-Brown. Laws of Form (1969). — Begins with one act: draw a distinction. In chapter 11 an expression re-enters its own form and oscillates; time enters the calculus. Fit: strong · Inside: yes.
Douglas Hofstadter. I Am a Strange Loop (2007). — The “I” as a loop that perceives itself, with no observer outside it. Draws on the author’s own life. Fit: strong · Inside: yes.
Chiang Yee. Chinese Calligraphy (1938; 3rd ed. Harvard, 1973). — The classic introduction to rhythm, line and the fixed order of strokes. Written by a practising calligrapher. Fit: strong · Inside: yes.
Taiwanese Ministry of Education stroke-order site. — Animates the standard order of 6,063 characters, including 道. Watching 道 being written is the shortest way into the identity chapter. Free.
G. Pólya (1921), original paper; Jonathan Novak, “Pólya’s Random Walk Theorem” (arXiv 1301.3916). — Novak gives the proof in a few pages: recurrent in one and two dimensions, transient in three. Fit: strong.
Scientific American. “This mathematician proved a brilliant theorem to justify his social awkwardness.” — The theorem grew out of Pólya’s own repeated walks near Zurich. Look for Kakutani’s line: “a drunk bird may get lost forever.” Fit: strong · Inside: partly.
Peter Doyle and J. Laurie Snell. Random Walks and Electric Networks (1984). Free on arXiv. — The recurrence theorem by asking how easily current flows to infinity. Fit: strong.
N. P. Brusentsov et al. “Development of ternary computers at Moscow State University.” Virtual Computer Museum. — The builders’ own account of the balanced-ternary Setun, and of why production stopped in 1965. Fit: strong · Inside: yes.
Brian Hayes. “Third Base.” American Scientist (Nov–Dec 2001). — The classic readable essay on balanced ternary, the weighing puzzle, and Setun. Fit: strong.
Francisco J. Varela. “A Calculus for Self-Reference” (1975); Principles of Biological Autonomy (1979). — The autonomous value: a third logical value for forms that re-enter themselves. Fit: strong.
Varela, Thompson and Rosch. The Embodied Mind (1991; rev. 2017). — Joins mindfulness practice to cognitive science. Logic studied by people who do it. Fit: strong · Inside: yes.
Scott Cook. The Bamboo Texts of Guodian (2012). — The complete annotated English translation of the 1993 find, including the Taiyi sheng shui: the oldest known account of arising by return. Fit: strong.
Sarah Allan. “The Great One, Water, and the Laozi: New Light from Guodian.” T’oung Pao (2003). — The central scholarly reading of the water cosmogony itself. Fit: strong.
Oliver Rackham. The History of the Countryside (1986). — Fields, hedgerows and woods as the archive of the people, climate and soils that shaped them. The landscape is the record. Fit: strong · Inside: yes.
Valerie Trouet. Tree Story (2020). — World history read from tree rings, by a working dendrochronologist. The Hohenheim oak-pine chronology spans 12,460 years. Fit: strong · Inside: yes.
Lynne Kelly. The Memory Code (2016). — Ancient monuments read as memory devices for oral cultures. The author uses the techniques herself. Fit: strong · Inside: yes.
Elinor Ostrom. Governing the Commons (1990). — Nobel-recognized study of commons that lasted for centuries without privatisation or state takeover. Fit: strong · Inside: partly.
J. Stephen Lansing. Priests and Programmers (1991). — Bali’s water temples schedule irrigation across whole watersheds, with no designer above. Fit: strong.
Harry Collins. “The TEA Set: Tacit Knowledge and Scientific Networks.” — Laboratories built the TEA laser only after contact with someone who had built one. Knowledge lives in persons, not papers. Fit: strong.
Michael Polanyi. Personal Knowledge (1958). — All scientific knowing rests on personal skill and judgment, much of it tacit. Written by a working chemist. Fit: strong · Inside: yes.
Richard Sennett. The Craftsman (2008). — How craft knowledge lives in the maker’s body and practice. Fit: strong · Inside: yes.
Aaron Antonovsky. Unraveling the Mystery of Health (1987). — Salutogenesis: why some people stay well under great strain. The study began with survivors of the concentration camps. Fit: strong.
Christian Norberg-Schulz. Genius Loci (1979). — The basic work on why a place has its own character, which building must answer. Fit: strong.
Yoseph Imry. “Tireless electrons in mesoscopic gold rings.” Physics (2009). — Persistent currents in ordinary, non-superconducting gold rings, measured in 2009. What returns in phase does not stop. Fit: strong.
Arthur Ord-Hume. Perpetual Motion: The History of an Obsession (1977). — The standard history. Separates the dream of work from nothing from the plain fact of a self-sustaining flow. Fit: strong.
Per Bak. How Nature Works (1996). — Self-organised criticality: a sandpile drives itself to its tipping point and stays there. The closest known thing to poised matter. Fit: strong.
Frank Close. The Void (2007). — Empty space as full of pairs of particles that appear and vanish. By a working particle physicist. The only book found on a pair that sums to nothing. Fit: strong · Inside: yes.
M. Bennett et al. “Huygens’s clocks” (2002). — A rebuilt 1665 set-up. Lock happens only in a narrow window: near-equal frequencies, real coupling, heavy cases. Huygens used about 40 kg of lead. Fit: strong.
Steven Strogatz. Sync (2003). — The standard account of locking without a conductor: fireflies, clocks, heart cells. Fit: strong · Inside: yes.
James Pantaleone. “Synchronization of metronomes.” American Journal of Physics (2002). — The recipe for agreement on a kitchen table: two metronomes, one board, two drink cans. Fit: strong.
Lawrence Principe. The Secrets of Alchemy (2012). — Alchemical recipes read as coded laboratory procedures, rerun by the author at the bench. Fit: strong · Inside: yes.
Roger Hiorns. Seizure (2008). Yorkshire Sculpture Park. — A flat flooded with supersaturated copper sulphate; only the crystal remained. Selection made visible. Visitable in timed slots from 24 October to 31 December 2026. Fit: strong.
Stuart Kauffman. Investigations (2000). — The “adjacent possible”: what can appear next is one step from what exists. The map of the net can only grow by being walked. Fit: strong.
An essay on J. Konstapel’s “What the Lectures Leave Out” (Constable Research, Leiden, 2026)
Physics curricula share a quiet habit: the vacuum is taught as a background, a stage with fixed constants on which particles and fields perform. Mathematics curricula share another: modular arithmetic, random walks, and coupled oscillators live in separate chapters with separate exams. In the four-page paper “What the Lectures Leave Out,” J. Konstapel (2026) argues that both habits hide a single structure. His Vacuum.Net theory treats the vacuum as the only thing there is, and everything else as a pattern within it that closes on itself. The paper’s claim is not that lectures are wrong, but that they are fragmentary: results proven in one discipline reappear, unrecognised, as selection rules in another. This essay summarises the theory’s central picture, examines how it unifies three “chapters” of mathematics into one rule, considers its most striking physical and historical claims, and weighs what the text leaves for the reader to do.
The theory begins with an image rather than an equation: a fishnet under tension, in which a single strand crosses itself. At each crossing the strand goes over, under, or does not cross at all — recorded as +1, −1 and 0. One crossing is a trit; the register of the theory is balanced ternary. From this picture Konstapel derives five starting rules, of which the most heterodox is N4: the response of the medium is a state function. Constants such as c and h are not inputs but readings — a constant that appears fixed is simply a state that does not change on the scale at which it is measured. This is the paper’s titular point. No lecture makes it, because the standard frame must assume its constants before it can compute anything at all.
The paper’s most persuasive move is to show that the closure rule of the net is a rule the reader already knows. Three crossings in a row form a “window”; a window closes when its trits sum to a multiple of three. Of the 27 possible windows, exactly 9 close: three uniform ones, (+1,+1,+1), (0,0,0), (-1,-1,-1), and six mixed ones, the permutations of (-1,0,+1). In \mathbb{Z}_3, three elements sum to zero exactly when they are all equal or all different. This is the rule of the card game SET, where a valid triple must be all-equal or all-different on every attribute — an affine line in \mathbb{Z}_3^n. A combinatorial curiosity taught in recreational mathematics is thus reframed as a selection rule for what persists in a physical medium. The 9 closing windows split into two kinds with distinct behaviours: uniform closures hold without turning (“the form of a crystal”), while mixed closures keep turning while staying closed (“the form of living matter”). Where the two kinds meet, the window on the seam stays open and carries tension.
The same rule regenerates the theory’s states from a single act. Since \mathbb{Z}_3 is cyclic, giving one act the value +1 yields +1, then 1+1 \equiv -1, then 1+1+1 \equiv 0. The mirror is not a second thing but the same act taken twice; and there are two roads to zero — an act meeting its mirror, or the same act going round three times — matching the two kinds of closure.
The third chapter is probability. A movement from a point, stepping +1, 0 or −1 with equal chance, returns to its start with certainty, by Pólya’s (1921) theorem on the recurrence of one-dimensional random walks. Exact returns are counted by the central trinomial coefficients, 1, 1, 3, 7, 19, \ldots; counted modulo 3 the number rises from 7 to 9 of 27, and the two extra strings, (+1,+1,+1) and (-1,-1,-1), “do not come back along the line. They go once round a ring of three.” The difference between coming back and going round separates two kinds of binding — and, with Watson’s (1939) return probability of about 0.3405 in three dimensions, seeds one of the paper’s open problems.
Closure reappears a third time as phase locking: a winding that closes on itself does so in phase, which is Huygens’ observation of 1665 in the language of the Kuramoto (1984) model. The paper’s inversion is characteristic: locking is not one phenomenon among others but the persistence rule itself — what does not lock does not stay.
More ambitious is the unit derivation. The net fixes length, time and energy from the reduced-mass Rydberg constant, so that one photon of wavelength S_0 = 1/(2R_H) = 45.588 nm carries all three. Each step deeper multiplies by three, and the resulting ladder lands, by identity rather than fit, on the Balmer Hδ line at 9 S_0; by Wien’s law near the thermal peak of about 262 K at 243 S_0; and within 0.52 % of the lowest ideal mode of the Earth–ionosphere cavity at 3^{31} S_0. The paper is careful about what is computed, what is an identity, and what is a 0.52 % coincidence — but the pattern is intriguing precisely because it links scales no single lecture connects.
The most unusual section places the structure beside the Taiyi sheng shui (“The Great One gave birth to water”), a bamboo-slip text from about 300 BCE found at Guodian in 1993. The text describes arising by return and mutual support, from which Konstapel condenses three rules — a movement bound to the light it leaves through, return as the engine of birth, and mutual support building the ladder — that replace the five starting rules. Whether or not one accepts the correspondence, the methodological point stands: no physics course places a 2,300-year-old cosmology next to Pólya’s theorem, yet here they can be read as descriptions of one structure.
The paper closes with six problems that are explicitly “not exercises.” They range from algebra (what quantity records the order of a closing window, since (+1,-1) and (-1,+1) close differently?) through dimension (if all binding is one-dimensional, where do three dimensions come from?), to a striking physical question: if c is a state function, which measurement would show its local variation first, and at which depth? The cap-set problem of Ellenberg and Gijswijt (2017) becomes a question about the largest tension-carrying configuration of the net, and the Kuramoto model a question about locking on a balanced-ternary lattice. Each is sized, the author claims, for a bachelor or master project — an unusual and welcome gesture in a foundational text.
The paper’s virtues are compression and connection. In four pages it links additive combinatorics, random walks, synchronisation, atomic spectroscopy, and Warring States cosmology under one ternary rule, and it is honest about status: each claim is labelled computed, proved, or reading. Its risks are equally clear. The identifications — SET with a selection rule, Guodian with the net, the 9-with-9 of windows and cosmological products — are readings rather than derivations, and the 0.52 % cavity agreement is suggestive, not conclusive. But the text does not pretend otherwise; it ends by handing the reader six problems and a blog. What the lectures leave out, on this showing, is not a missing proof but a missing picture — and the paper’s contribution is to supply the picture and let the reader test it.
Konstapel, J. (2026). “What the Lectures Leave Out: One Rule, Three States, and an Open Problem Set from the Vacuum.Net Theory.” Constable Research, Leiden, v1.0, 21 October 2026.
Primary source. The four-page paper this essay is based on: the fishnet picture, the five rules N1–N5, the window register, the depth ladder of units, the Guodian reading, and six open problems. Read sections 2–3 first; they carry the whole argument.
Konstapel, J. (2026). The Vacuum.Net Theory: Foundational Paper, ed. 8.1. Constable Research, Leiden.
The full theory behind the paper: the five starting rules, the window register and the unit derivation. Reading advice: Part 0 first, then Parts III.4 and VII.2. Essential for depth; the four-page text is a distillation of it.
Konstapel, J. (2026). “The Way Before the Net.” constable.blog, 20 October 2026.
The companion piece that rewrites the five rules into three (R1–R3), develops the trit walk, and presents the Guodian material. Read together with sections 4, 5 and 8 of the primary source.
Davis, B. L. & Maclagan, D. (2003). “The card game SET.” The Mathematical Intelligencer 25(3), 33–40.
SET as affine geometry over \mathbb{Z}_3: the cleanest entry to the paper’s section 3, showing why a “SET” is an affine line and why the all-equal-or-all-different rule is the zero-sum rule of \mathbb{Z}_3.
Ellenberg, J. S. & Gijswijt, D. (2017). “On large subsets of \mathbb{F}_q^n with no three-term arithmetic progression.” Annals of Mathematics 185(1), 339–343.
The polynomial-method bound on cap sets, the current best upper bound on SET-free collections. In the paper’s terms, a cap is a configuration where no window closes and everything carries tension — the starting point for open problem 4. Four pages; read it whole.
Pólya, G. (1921). “Über eine Aufgabe der Wahrscheinlichkeitsrechnung betreffend die Irrfahrt im Straßennetz.” Mathematische Annalen 84, 149–160.
The classical proof that random walks are recurrent in one and two dimensions and transient in three. The mathematical ground of the paper’s section 5 and of open problem 2 on where three dimensions come from.
Watson, G. N. (1939). “Three triple integrals.” Quarterly Journal of Mathematics 10, 266–276.
The evaluation of the return probability of the three-dimensional walk (≈ 0.3405). Supplies the number that makes the dimension problem sharp: binding is certain in one dimension, but far from certain in three.
OEIS A002426. Central trinomial coefficients.
The sequence 1, 1, 3, 7, 19, 51, 141, … counting exact returns of the trit walk, with asymptotics. The bridge between the walk’s combinatorics and the paper’s counts of 7 versus 9 returning strings.
Kuramoto, Y. (1984). Chemical Oscillations, Waves, and Turbulence. Springer, Berlin.
The origin of the Kuramoto model of coupled phase oscillators: natural frequencies, coupling strength K, critical coupling K_c, and the order parameter r. The model behind the paper’s reading of closure as phase locking.
Strogatz, S. H. (2000). “From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators.” Physica D 143, 1–20.
The best review of the locking transition and the order parameter, connecting the original model to later developments. Reading advice: sections 1–3 suffice for the paper’s purposes.
Knuth, D. E. (1997). The Art of Computer Programming, Vol. 2, 3rd ed. Addison-Wesley.
Balanced ternary and its symmetries (pp. 195–213): why +1/0/−1 is a natural register, the round-off-free arithmetic the net’s trit register relies on.
Larson, D. B. (1959). The Structure of the Physical Universe. North Pacific Publishers, Portland.
Light as location and matter as rotation against the progression — a precursor physical intuition for the paper’s rule R1, in which a movement is bound to the place it leaves through.
Allan, S. & Williams, C. (eds.) (2000). The Guodian Laozi. Society for the Study of Early China, Berkeley.
The first wide English treatment of the Taiyi sheng shui, the bamboo-slip cosmology from Guodian (unearthed 1993, c. 300 BCE) that supplies the paper’s section 8 and open problem 3: arising by return, and mutual support as the builder of layers.
Williamson, J. G. & van der Mark, M. B. (1997). “Is the electron a photon with toroidal topology?” Annales de la Fondation Louis de Broglie 22(2), 133–160.
Matter as light closed on itself in a worked physical model — a bridge between the paper’s section 7 (units from hydrogen) and the closure rule that governs everything else in the net.
J.Konstapel.Leiden,21-10-2026.
Jumpto the Maze.Docter here
Jump to the english text here.
Jump to the book here
A Reference Work on What the Body Needs, How It Is Grown, Prepared and Kept, and What Can Be Done With Simple Means © 2026 J. Konstapel, Constable Research, Leiden. All rights reserved. Quotation
Aanleiding: Regeneratieve landbouw is veelbelovend, maar ook nog een ‘enorme strijd’
De meeste boeken over voedsel kiezen een kant. Ze zijn óf voedingsleer, vol met referentiewaarden maar stil over waar eten vandaan komt. Óf het zijn boeken over landbouw, rijk aan bodem en seizoen, maar vaag over wat het lichaam nu eigenlijk nodig heeft. What Food Does Our Body Need van J. Konstapel (Constable Research, Leiden, 2026) weigert die splitsing. Het volgt één lijn: van het lichaam dat een stof nodig heeft, terug naar de grond waar ze groeit, en vandaar via de keuken naar het bord.
Het boek telt negen delen. Eerst wat het lichaam nodig heeft: energie, negen aminozuren, twee vetzuren, dertien vitaminen, mineralen, water — telkens met de waarden van EFSA en de VS naast elkaar. Dan de grond: wat levende bodem is, hoe je met de hand werkt, hoeveel uur een perceel kost. Dan wat je kunt telen, op hoeveel land, met welke opbrengst. Daarna kruiden, bereiden en bewaren — zonder koude keten. Vervolgens veertien dagmenu’s en recepten, voedingsstof voor voedingsstof nagerekend. Tot slot de mensen die het werk doen, en de ziekten die voedsel voorkomt.
Het schat niet. Elk getal komt uit een genoemde bron of is zichtbaar uitgerekend. Is iets onbekend, dan staat dat er. Een lezer kan alles controleren.
Het twijfelt eerlijk. Elke bewering krijgt een graad: STRONG, MODERATE, WEAK of CONTESTED. Komen goede bronnen niet overeen, dan worden beide cijfers afgedrukt. Dat levert opvallende uitkomsten op. Antioxidantpillen: geen bewijsvoering, mogelijk schade. Foliumzuur vóór de conceptie: zeventig procent bescherming. Vitamine D-pillen voor wie geen tekort heeft: geen effect.
Het is tegen zichzelf gecontroleerd. De dagmenu’s werden voorspeld en vastgelegd met een cryptografische hash vóór het tellen begon. Daarna zijn ze vier keer nagerekend, met aparte code en tegen twee onafhankelijke voedingstabellen. Een externe toetsing van 129 willekeurige claims vond er geen enkele ontkracht.
Het stelt één praktische vraag. In elk deel: wat kan met eenvoudige middelen — weinig industrie, geen koude keten, weinig geld. Daaruit komt een van de mooiste inzichten van het boek: eenvoudig is niet hetzelfde als goedkoop. Een blik tomaten is goedkoop, maar de keten erachter is lang.
In de keuken: eet het soepwater, giet het boonwater weg. Citroen bij de linzen, thee tussendoor in plaats van erbij. Bonen weken en hard doorkoken. Zuurkool op twee procent zout. Nooit gewone groenten wecken op 100 °C.
Voor wie wil begrijpen waarom: graan en peulvrucht sluiten elkaar af. Tarwe-eiwit haalt 57 procent van de lysine die het patroon vraagt, linzen-eiwit haalt 94 procent. Gemengd voldoen ze allebei. Erwtensoep met roggebrood is die biochemie in een kom.
Deel 0 leest voedsel door een beeld van een visnet onder spanning: alleen wat sluit, blijft bestaan. De auteur noemt dit zelf een “lezing”, geen mechanisme. Wie er niets mee heeft, kan het overslaan. Het boek verliest er niets door — de gemeten feiten dragen zichzelf.
Dit is een naslagwerk voor wie één boek wil dat loopt van microvoedingsstof via keuken en akker terug naar het bord. Gedisciplineerd in zijn bronnen, eerlijk over onenigheid, en bruikbaar zonder fabriek of vriezer. Met andere woorden: een boek om te hebben én om in te bladeren.
What Food Does Our Body Need, J. Konstapel, Constable Research, Leiden. Eerste druk, oktober 2026.
Most food books choose a side. They are either nutrition manuals, full of reference values but silent about where food comes from. Or they are farm books, rich in soil and season, but vague about what the body actually requires. What Food Does Our Body Need refuses this split. It follows one line from start to finish: from the body that needs a nutrient, back to the ground that grows it, and forward again through the kitchen and the store to the plate. That single line gives the book its unusual coherence. Nothing in it floats free.
The author is J. Konstapel of Constable Research, Leiden. The work is a first edition, dated October 2026, running to 73 pages in nine parts with three appendices. This essay sets out what the book contains, what makes it unusual, what it can be used for, and where its sources lead the reader who wants to go further.
The nine parts trace the full length of the food chain.
Part 0 supplies the frame. The author reads food through an image of a fishnet under tension, drawn from his own Vacuum.Net theory. Only what “closes” — what returns onto itself in phase — persists. Digestion is read as a test applied at successive depths: mouth, stomach, small gut, colon. Fibre is the clean example. The body does not absorb it, so it passes through unchanged and the colon microbes read it instead. The author is careful to call these “readings”, not mechanisms. The frame orders the facts. It does not claim to cause them.
Part 1 states what the body needs, in grams, milligrams and micrograms. Energy. Protein and the nine essential amino acids. Two essential fatty acids. Thirteen vitamins. A set of minerals and trace elements. Water. The chapter works with two reference persons: a man of 70 kg and a woman of 60 kg, both aged 30–39 and moderately active. Every value is given twice, once from the European Food Safety Authority (EFSA) and once from the United States, with Dutch values where they differ.
Part 2 turns to the ground. What soil is. How it is worked by hand. How much work a plot demands. How nutrient loops close. Whether the soil changes the food — the selenium chain from rock to grain to body is the book’s clearest case.
Part 3 answers what to grow. Dutch yields per crop, land per person, hours per square metre. It compares diets: a potato minimum, a plant diet at Dutch and organic yields, and the EAT-Lancet planetary health diet.
Part 4 treats the herbs, with the European Medicines Agency monographs set against Cochrane reviews.
Part 5 treats preparation: what cooking adds, what it destroys, how anti-nutrients such as phytate are removed by soaking, sprouting and sourdough, how fermentation works, what salt does, and when to eat.
Part 6 treats keeping without a cold chain: cellars, clamps, drying, lactic fermentation, bottling, freezing, and the safety rules that come with each.
Part 7 delivers fourteen counted day menus and a set of recipes — erwtensoep, hutspot, zuurkoolstamppot, dal, hummus, kale with chickpeas — each with nutrients computed per serving from the USDA table.
Part 8 looks at the people who do the work. Farming in the Netherlands now employs about 100,000 people for 18 million inhabitants. The book asks what knowledge left the land with them, and what one hour a week from two million people would cover.
Part 9 links food to the illnesses it prevents, condition by condition, each with a measured effect and an evidence grade.
Three appendices close the book: the core reference tables, a register of disagreements and open questions, and 88 annotated references.
Every number in the book was taken from a named source or computed from such numbers. Where the arithmetic is the book’s own, the sum is shown. Where a value is not known, the book says so plainly. It does not fill the gap with a guess. This discipline is rarer than it should be, and it changes how the book reads. A reader can check anything.
Every intervention carries a grade: STRONG, MODERATE, WEAK or CONTESTED. When good sources disagree, both figures are printed. The supplement section is a model of this. Antioxidant pills, across 78 trials and nearly 300,000 people, show no benefit and possible harm — STRONG. Folic acid before conception cuts neural tube defects by about 70 per cent — STRONG. Vitamin D in people who are not deficient prevents neither cancer nor cardiovascular events — STRONG. The justified supplements turn out to be few and narrow: folate around conception, vitamin D for defined groups, vitamin K for newborns, B12 for those who eat no animal food.
Appendix B is a register of open disputes, stated without embarrassment. The US and EFSA differ on B12, folate, iron in pregnancy and vitamin B6. The two main composition tables disagree about the vitamin D in herring by a factor of four, and about folate in lentils by a factor of more than four. Meta-analyses disagree about the yield cost of no-till. The book prints both sides and keeps working. This is what an honest reference work looks like.
The Methods section is remarkable. Seven research lines, each with every claim recorded and sourced. The fourteen day menus were predicted in writing and locked with a cryptographic hash before any nutrient was counted; the counting script refused to run without the matching hash. The menus were then counted four times: against two releases of the USDA table, once with separate code using exact fractions (largest difference: 0.029 per cent), and once against the independent UK CoFID table. An independent judge then sampled 129 claims at random and reopened their sources: 115 confirmed as written, 12 confirmed with a correction, none refuted. A book that submits to this has earned the right to be used.
Every part asks the same question: what can be done with simple means — little industry, no cold chain, little money? Where a long chain is genuinely needed, the book names the link that cannot be shortened. This keeps the work grounded. It also produces its most quotable insight: a simple means is not the same as a cheap means. A tin of tomatoes is cheap. The chain behind it is long.
For the household. The book is full of sentences a kitchen can act on. Eat the soup water; pour away the bean water. Put lemon on the lentils; drink the tea between meals, not with them. Soak beans and boil them hard. Ferment at two per cent salt. Never bottle plain vegetables in a water bath at 100 °C. Cure before you store. Keep apples away from vegetables. Each of these is measured, not merely asserted.
For the grower. Part 2 and Part 3 give Dutch yields, organic yield gaps of 19–25 per cent, the hours per square metre of hand-scale growing from the best-documented market-garden study, and the land a person needs under each diet — from 340 m² for a potato minimum to 1,827 m² for EAT-Lancet. The arithmetic for a whole country is laid out: a plant diet at organic yields fits on the farmland the Netherlands already has.
For the eater who wants reasons. The cereal-and-legume finding is worth the price alone. Wheat protein reaches 57 per cent of the FAO lysine pattern; lentil protein reaches 94 per cent of the sulphur-amino-acid pattern. A 50:50 mix meets both. Erwtensoep with rye bread is not a tradition with a story attached. It is that biochemistry served in a bowl.
For the professional. The reference tables align EFSA, US and Dutch values in one view. The nutrient-retention table and the annotated bibliography function as a desk aid. Part 9’s condition-by-condition table, with measured effects and grades, is a compact bridge between food and clinical prevention — including the finding that several old prohibitions were wrong: low-calcium diets for kidney stones raised recurrence, and forbidding nuts and popcorn in diverticular disease had it backwards.
The reference list is not decoration. It is the book’s second half. Each of the 88 entries carries a note on why it is worth reading and, where useful, how to read it. The reader is directed, among others, to:
The annotated list is built to be followed. A reader with the book in hand has several clear paths:
Two things should be said. The Vacuum.Net frame of Part 0 will not be to every taste, and the author knows it; he marks each use of it and repeats that a reading is not a mechanism. The frame can be skipped without loss. And some sources could not be reached — the book says which, and lists what remains open. These are flaws of transparency, not of concealment. They argue in the book’s favour.
What Food Does Our Body Need does three things at once, and does them carefully. It states, in plain numbers, what a body must obtain from outside itself. It follows each of those numbers back to a soil, a seed, a season and a pair of hands. And it asks, throughout, what can be done without a long industrial chain. It is disciplined about evidence, honest about disagreement, and checked to a standard most trade books never approach. For the reader who wants a single volume that runs from the micronutrient to the kitchen to the field — and back to the plate — this is a book worth having, and worth following into its sources.

J.Konstapel,Leiden,20-10-2026.
Website : 65Klusser
Op 20 oktober 2026 meldde Sleutelstad dat 65Klusser ook in Leiden en omgeving begint. Het concept is eenvoudig. Gepensioneerde vakmensen doen kleine klussen bij mensen thuis: een lamp ophangen, een kast in elkaar zetten, een beugel in de douche, een klemmende deur.
Dat voorziet in een echte behoefte. Er blijven in veel huizen klussen liggen. Er zijn veel 65-plussers met handen en ervaring die niet stil willen zitten.
Deze blog zoekt uit wat er achter de dienst zit, waar het geld blijft en welke alternatieven er zijn. Daarna volgt een vergelijking met een heel andere vorm: de MAZE-Bank, een kring waarin daden worden geboekt in plaats van euro’s.
Alle getallen zijn nagerekend. Wat niet gevonden is, staat er als open bij.
De dienst werkt in vier stappen.
De klussers hebben een Verklaring Omtrent het Gedrag (VOG). Ze zijn persoonlijk gescreend en verzekerd. Ze komen uit de eigen regio.
De dienst is actief in Haaglanden, Leiden, Rotterdam en het Groene Hart. Daarnaast zijn er lijnen voor VvE’s, horeca en bedrijven.
65Klusser is een handelsnaam. De drager is O. den Hoed Beheer B.V. in Voorburg.
Volgens het handelsregister is die B.V. in maart 2017 opgericht als advies- en consultancyholding, met één werkzame persoon. Dezelfde B.V. voert nog twee handelsnamen: “Digital Nomad Recruiters” en “IntelliFox”.
Die eerste handelsnaam staat als pagina op de site van het recruitmentbureau 24People. Onno den Hoed is volgens een openbaar profiel sinds 2012 directeur-eigenaar van 24People en sinds 2020 medeoprichter van OnJobs. Hij sprak in september 2026 in de lokale media namens 65Klusser.
In de eerste berichten, uit december 2025, heet Gert Barnhoorn (68) de oprichter. Hij vertelde toen op Radio 5 en Den Haag FM over het ontstaan. Hoe Barnhoorn en den Hoed zich tot elkaar verhouden, staat in geen enkele gevonden bron.
De dienst is jong. Begin december 2025 draaide hij “een paar weken”, met zes klussers en ongeveer twintig klanten. Dat waren vooral alleenstaande vrouwen. Flyers in de bus werkten; reclame op sociale media niet. Nu noemt de site ongeveer twintig plaatsen en zeven klusserprofielen.
Het is geen franchise. Uitbreiding loopt via regiopartners “zonder franchisefee”. Die werken ongeveer zestien uur per week voor indicatief €1.700 tot €4.000 per maand.
De rekensom is kort.
Dat laatste getal is een bovengrens. De werkopname is gratis voor de klant. Er zijn volgens de site geen voorrijkosten. Werkgeverslasten, verzekering en werving gaan er nog af.
Twee punten zijn onduidelijk.
Ook de regiopartner is na te rekenen. Zestien uur per week is 16 × 52 / 12 = 69,3 uur per maand. Dat geeft €24,52 tot €57,69 per uur. Voor €4.000 per maand zijn bij de volle marge van €26,98 ongeveer 148 klusseruren per maand nodig.
Het model lost drie dingen tegelijk op.
Werk voor ouderen met vakmanschap. Veel gepensioneerde timmerlieden, schilders en monteurs willen nog iets doen. Een paar uur per week is genoeg. €35 bruto per uur is een redelijk bedrag voor een bijbaan na de AOW-leeftijd.
Vertrouwen voor wie alleen woont. De eerste klanten waren vooral alleenstaande vrouwen. Voor hen telt het om te weten wie er aanbelt. VOG, screening en een foto vooraf geven dat.
De kleine klus wordt gedaan. Een gewone aannemer komt niet voor een gordijnrail. Zo’n klus blijft vaak jaren liggen.
Dat is de kern van het succes. De prijs is de prijs van die zekerheid.
Voor dezelfde behoefte bestaat veel. De verschillen zitten vooral in wie het werk doet en voor wie het bedoeld is. Hieronder een klus van twee uur, nagerekend.
| Alternatief | Regio | Twee uur | Wie doet het | Voor wie |
|---|---|---|---|---|
| HipHelpt | Leiden, Oegstgeest | €0 | vrijwilliger | geen netwerk én weinig geld; tot ca. 2 uur |
| Welzijnskwartier, klussendienst | Katwijk | €10 | vrijwilliger | senioren |
| WOEJ | Leidschendam-Voorburg | €12,50 | vrijwilliger | inwoners |
| Radius, klussen in huis | Leiden, Oegstgeest | €60 + materiaal | welzijnsorganisatie | ouderen, mensen met een beperking |
| Hups, met ANBO-PCOB-korting | landelijk | €96,95 | klushulp via platform | leden |
| Klusup | landelijk | vanaf €110 | zelfstandige, ook gepensioneerden | iedereen |
| De Klusbakfiets | o.a. Den Haag | €117,37 | vakman | iedereen |
| Hups, standaard | landelijk | €121,95 | klushulp via platform | iedereen |
| Zoofy | landelijk | vanaf €130 | vakman via platform | iedereen |
| 65Klusser | Haaglanden, Leiden, Rotterdam, Groene Hart | €150 | 65+-vakman | iedereen |
| GAMMA Klusservice | landelijk | €154,95 | vakman via Zoofy | iedereen |
Toelichting bij de rekensom:
Er is meer, maar zonder vergelijkbaar uurtarief:
Wat ontbreekt, is ook informatief:
Het patroon is helder:
Het visnet helpt om te zien wat hier gebeurt. Mensen zijn knopen. Een klus is een maas die tussen twee knopen sluit: iemand helpt iemand.
Bij 65Klusser loopt die maas niet rechtstreeks. Ze loopt via een keten van rollen:
Er zijn vijf stappen, met drie tot vier geldoverdrachten:
Elke schakel voegt iets toe: werving, inschatting, zekerheid. Elke schakel kost ook iets. Van de €61,98 die exclusief btw binnenkomt, bereikt €35 de man of vrouw die het werk doet.
De klant en de klusser wonen vaak een paar straten van elkaar. Ze leren elkaar kennen. Bij de volgende klus belt de klant toch weer het bureau. De maas sluit, maar niet tussen hen. Ze sluit via de keten.
Dat is geen verwijt aan de dienst. Het is hoe vrijwel elke dienst in de euro-economie werkt. Een overdracht kost geld. Wereldwijd kost een geldoverdracht naar familie in het buitenland nog altijd ongeveer zes procent van het bedrag.
De MAZE-Bank is een vorm waarin buren hun onderlinge hulp boeken zonder geld. Hij is beschreven op constable.blog en draait op maze.swarp.nl/bank. Volgens de bronnen werkt hij zo:
Een 65Klusser-klus ziet er in zo’n kring zo uit:
Binnen de kring kost dat niets. Er is geen tussenpartij die een deel houdt. Verder is de relatie wederkerig. De klusser van vandaag kan over tien jaar zelf de hulp nodig hebben. Zijn bevestigde daden staan dan in de kroniek van de kring.
Het is een vergelijking, geen wedstrijd. Beide vormen dragen iets wat de andere mist.
65Klusser heeft:
De MAZE-Bank heeft:
Daar staat de stand van zaken tegenover. Volgens de handleiding zijn de kern, de koppeling, het bestuursgereedschap en de reconciliatie gebouwd. De live pagina meldt nog “Nog geen daden” en “Nog geen coöperatieve jas”. Het vooroverleg met de Belastingdienst is open. Wat een VOG en een verzekering in de kring vervangt, staat in geen bron.
Het concept rond de eenheid is ook verschoven. Op 8 september 2026 rekende een post nog met Seeds: tien per lid per week, 2 procent verval, een evenwicht van 10 / 0,02 = 500. Een week later spreekt de handleiding van “geen geld, geen saldo — daden”. Een veld seeds=1 bestaat nog als gewicht, niet als munt.
Het interessantste punt zit niet in het verschil. Het zit in de plek waar ze elkaar raken.
Een vaste klusser die steeds terugkomt bij dezelfde klant, is een afspraak die zich herhaalt. Juist zo’n afspraak gebruikt de MAZE-Bank als ingang: een rooster, een zorgschema, een vaste hulp.
65Klusser bouwt die relaties nu op, in twintig plaatsen. Er ontstaan knopen die elkaar kennen. Of de maas tussen hen ooit zonder bureau gaat sluiten, hangt af van wat zo’n kring niet heeft: werving, vakinschatting en de zekerheid die een VOG en een verzekering nu geven.
Wat er verdwijnt als dat lukt, is de marge. Wat er blijft, is de gepensioneerde vakman die een rail ophangt bij een buurvrouw drie straten verder. En de kans dat zij, of iemand anders in de kring, later iets terugdoet wat hij nodig heeft.
65Klusser — website. https://www.65klusser.nl Waarom lezen? De werkwijze in vier stappen, het tarief en de regio’s, uit de eerste hand. Leesadvies: begin bij de veelgestelde vragen.
65Klusser — Word klusser. https://www.65klusser.nl/word-klusser Waarom lezen? Hier staat de vergoeding van €35 bruto all-in per uur. Dat is de enige bron voor de verdeling van de €75.
65Klusser — Regiopartner. https://www.65klusser.nl/regiopartner Waarom lezen? Het uitbreidingsmodel: zestien uur per week, indicatief €1.700–€4.000 per maand, zonder franchisefee.
65Klusser — In de media. https://www.65klusser.nl/in-de-media Waarom lezen? Het overzicht van radio, krant en lokale media, met de namen van wie er namens de dienst spreekt.
Seniorenjournaal, “65Klusser met businessmodel” (6-12-2025, op basis van het AD). https://seniorenjournaal.nl/diensten/65klusser-met-businessmodel/ Waarom lezen? Het ontstaan, de eerste zes klussers, de klantengroep en waarom flyers beter werkten dan sociale media. Leesadvies: de beste korte bron over de begintijd.
Sleutelstad, “65Klusser biedt hulp bij kleine klussen in Leiden en omgeving” (20-10-2026). https://sleutelstad.nl/2026/10/20/65klusser-biedt-hulp-bij-kleine-klussen-in-leiden-en-omgeving/ Waarom lezen? De aanleiding van deze blog, en de bron van de vermelding “exclusief voorrijkosten”.
Midvliet, “65-plusklussers blijven actief en helpen anderen met klussen” (30-9-2026). https://midvliet.nl/podcasts/midvliet-actueel/34502-65-plusklussers-blijven-actief-en-helpen-anderen-met-klussen Waarom lezen? Onno den Hoed over het idee dat het mes aan twee kanten snijdt.
Bedrijvenregister en Oozo — O. den Hoed Beheer B.V. https://www.bedrijvenregister.nl/zoekresultaten?q_source=bedrijven&q=68405472 en https://www.oozo.nl/bedrijven/s-gravenhage/binckhorst/binckhorst/1449778/o-den-hoed-beheer-b-v Waarom lezen? De handelsnamen, de activiteit en het oprichtingsjaar van de juridische drager.
24People — Digital Nomad Recruiters. https://www.24people.nl/digital-nomad-recruiters/ Waarom lezen? De pagina die de B.V. verbindt met het recruitmentbureau.
Werkspot — reviews 65Klusser. https://www.werkspot.nl/profiel/65klusser/reviews Waarom lezen? De enige openbare klantbeoordelingen die op te halen waren.
Radius — Klussen in huis. https://www.radiuswelzijn.nl/welzijn-thuis/klussen-in-huis/ Waarom lezen? Het Leidse welzijnsalternatief, met prijs en doelgroep. Leesadvies: eerste adres voor Leidenaren die op de prijs letten.
Voor Elkaar Leiden — HipHelpt. https://www.voorelkaarleiden.nl/hiphelpt/ Waarom lezen? Gratis hulp, en de voorwaarden die bepalen wie daar terecht kan.
Welzijnskwartier — Klussendienst. https://welzijnskwartier.nl/ondersteunende-diensten/klussendienst/ Waarom lezen? Katwijk laat zien wat een vrijwillige klusdienst voor €5 per uur kan.
WOEJ — Klussendienst. https://www.woej.nl/themas/hulp-advies/klussendienst/ Waarom lezen? Hetzelfde voor Leidschendam-Voorburg, de thuisgemeente van 65Klusser.
Stichting Present. https://stichtingpresent.nl/leiden/ Waarom lezen? Een landelijk netwerk dat groepen vrijwilligers aan hulpvragen koppelt, via hulpverleners.
Altijd Voorhanden — Werkwijze klusservice. https://altijdvoorhanden.nl/werkwijze-klusservice/ Waarom lezen? De naaste commerciële tegenhanger, met klussers van 45+.
Leef3 — Hups klushulp. https://leef3.nu/dienst/hups-klushulp/ Waarom lezen? De volledige prijsopbouw van Hups, inclusief matchingsfee en kilometervergoeding. Leesadvies: nuttig vóór elke vergelijking van platforms op hun “vanaf”-prijs.
Klusup — Klusjesman Leiden. https://www.klusup.nl/klusjesman/leiden Waarom lezen? Een platform waar gepensioneerden zich zelf als klusser kunnen aanmelden, zonder bureau ertussen.
GAMMA — Klusprofessional per uur. https://www.gamma.nl/klusservice/klus-professional-per-uur Waarom lezen? Het tarief van een bouwmarkt, als ijkpunt aan de bovenkant.
Werkspot — Prijs klusjesman per uur. https://www.werkspot.nl/algemene-klussen/prijzen-kosten/klusjesman-prijs-per-uur Waarom lezen? Het markttarief en, in de FAQ, wie er voor een lead betaalt.
Haags Steunsysteem — Verhuizen en klussen, opties voor hulp (15-9-2024). https://haagssteunsysteem.nl/documents/d/haagssteunsysteem/verhuizen-klussen-opties-hulp-15-09-24-pdf?download=true Waarom lezen? Een overzicht van alle Haagse klushulp op één blad. Zo’n overzicht ontbreekt voor Leiden.
Sociale Vraagstukken — Zorgzame buurten (2023). https://www.socialevraagstukken.nl/wp-content/uploads/2023/05/Zorgzame-buurten.pdf Waarom lezen? Achtergrond bij buurtcoöperaties en waarom die zo zelden van de grond komen.
MAZE-Bank — de dienst en de handleiding. https://maze.swarp.nl/bank en https://maze.swarp.nl/bank/handleiding Waarom lezen? Wat er gebouwd is en wat nog open staat, uit de eerste hand. Leesadvies: lees de handleiding vóór de blogs.
“De Bank die geen geld bewaart” (19-9-2026). https://constable.blog/2026/09/19/de-bank-die-geen-geld-bewaart/ Waarom lezen? De MAZE-Bank naast een gewone bank, met toetreding via leden die voor elkaar tekenen.
“The Use of Deontic Logic in the MAZE-Bank” (11-9-2026). https://constable.blog/2026/09/11/the-use-of-deontic-logic-in-the-maze-bank/ Waarom lezen? Waarom de bank geen straf kent en een daad een verplichting is die door een tik wordt afgesloten. Leesadvies: voor wie de formele kant wil.
“Van Plato tot de Bon” (8-9-2026). https://constable.blog/2026/09/08/van-plato-tot-de-bon/ Waarom lezen? Het moment waarop de eenheid verdwijnt en alleen de daad overblijft.
“The MAZE Bank” (8-9-2026). https://constable.blog/2026/09/08/the-maze-bank/ Waarom lezen? De laatste versie met Seeds en verval. Lees hem naast de vorige om de omslag te zien.
“De Kring die Ontbreekt” (15-10-2026). https://constable.blog/2026/10/15/de-kring-die-ontbreekt/ Waarom lezen? Waarom de kring zelf het ontbrekende stuk is, niet het geld.
“The Bank of the Future” (21-8-2026). https://constable.blog/2026/08/21/the-bank-of-the-futurea-community-float-a-decay-rate-and-a-ledger-that-does-not-add-up/ Waarom lezen? De eerste uitwerking, met de float van een gemeenschap en de rekenregels voor verval.
“Maze: De Werkelijke Prijs van Een Euro” / “The Price of a Euro” (7-9-2026). https://constable.blog/2026/09/07/the-price-of-a-euromoney-context-and-the-second-route/ Waarom lezen? Elke overdracht lekt; hier staat het getal van ongeveer zes procent voor overmakingen naar familie, en de tweede route zonder euro.
“Breaking the Chain of Money” (29-6-2023). https://constable.blog/2023/06/29/breaking-the-chain-of-money/ Waarom lezen? De oorsprong van het ketenargument: geld als intermediair, en betalen als het herstellen van een balans.
“About the Cooperative” (3-4-2009). https://constable.blog/2009/04/03/about-cooperative/ Waarom lezen? Rochdale en Raiffeisen, en waarom coöperaties op menselijke schaal moeten blijven om te slagen. Leesadvies: de historische achtergrond bij elke kring.
J.Konstapel,Leiden, 20-10-2026.
© 2026 J. Konstapel, Constable Research, Leiden. All rights reserved. Quotation with attribution is permitted; reproduction of the whole requires written permission.
The Vacuum.Net theory rests on five axioms. There is one strand (N1). Only what closes persists (N2). A closed configuration carries memory (N3). The response of the medium is a state function (N4). Each step deeper multiplies the states by three (N5).
These axioms work. They give a ternary register, a closure rule, a depth ladder and numbers that land on hydrogen, room heat and the Earth’s cavity.
Yet they carry a hidden second actor. A strand that crosses, winds and closes is something that travels over places. Then there are two things: the places and the carrier that runs along them. The rewrite rule R has the same problem. It is applied to a ring, but by what?
This essay removes the second actor. It starts from one statement: the only thing there is, is light. It then follows that statement through four steps. Light is a location. A location is a point with a bound movement. That movement combines with itself into all three trit values. And the oldest Chinese form of the character 道, together with the oldest Daoist account of origin, already contains the result.
The outcome is a theory with three rules instead of five axioms. It is simpler. It is also older.
Every step carries a status. Proved means a mathematical result that holds under its hypotheses. Computed means a number checked by arithmetic. Source means a published text or inscription. Reading means an interpretation offered here. Open means not yet settled.
The Foundational Paper (Edition 8.1) fixes two conversion units from hydrogen.
The length unit is S₀ = 1/(2R_H). With the reduced-mass Rydberg constant R_H = 10,967,758.340 m⁻¹, this gives S₀ = 4.55882 × 10⁻⁸ m, or 45.588 nm.
The time unit is T₀ = S₀/c. With c = 299,792,458 m/s, this gives T₀ = 1.52066 × 10⁻¹⁶ s.
The energy unit is E₀ = h/T₀. Write it out:
E₀ = h/T₀ = hc/S₀ = (1.98645 × 10⁻²⁵ J·m) / (4.55882 × 10⁻⁸ m) = 4.35737 × 10⁻¹⁸ J = 27.197 eV.
The paper names E₀ the Hartree energy of hydrogen. It is equally the energy of one photon of wavelength S₀. Length, time and energy of the net are together one quantum of light. Computed.
Two consequences follow at once.
First, the power ceiling of the net, one closure per mesh per layer time, is E₀/T₀ = 0.0287 W. That is one photon per mesh per period. Computed.
Second, the depth ladder 3ⁿ·S₀ becomes a ladder of one photon read at other depths. At depth 2 the length is 9·S₀ = 410.29 nm, the Balmer Hδ line. At depth 5 it is 243·S₀ = 11.08 µm, close to the peak of room-temperature radiation. At depth 31 it is 3³¹·S₀ = 2.816 × 10⁷ m. The lowest ideal mode of the Earth–ionosphere cavity has wavelength 2πR/√2 = 2.831 × 10⁷ m, for R = 6,371 km. The two differ by 0.5 %. Computed.
All three landings are light. The ladder does not pass through different kinds of phenomena. It passes through one spectrum.
The first impulse is to call light the unit motion of the net. One mesh per layer time gives S₀/T₀ = c by construction.
That definition fails. If light is defined as motion at c, it cannot also be the stuff of matter at rest. And “the motion of the net” presupposes a net that moves. Then light is again something other than the net.
The correction is this: light is a location.
Dewey Larson stated the same idea in 1959. In his natural reference system the photon has no motion of its own. It stays at its absolute location. The reference system itself progresses at unit speed. Larson’s dimensions are already part of the Foundational Paper. Source; assumed as postulate.
Relativity offers an echo but not a ground. Along a light path the interval is zero: ds² = 0. This follows from Einstein’s second postulate, so it restates an assumption. A photon also has no rest frame, so “what light experiences” lies outside that theory. Moreover relativity takes c as a universal constant, while N4 treats c as a state function. Relativity is therefore at most a correspondence here. Correspondence.
In the net, Theorem T7 gives every state exactly one address, a balanced-ternary string. Proved. If light is a location, light is an address. The 45.6 nm photon is the address at depth 0. Hδ is the same address at depth 2.
This reverses the earlier picture.
The old question “can light rest?” disappears. Light always rests, in its own terms. What we call motion is matter holding on while the locations progress. Reading.
The character 道 makes the next step visible. It has 12 strokes in the standard count. It consists of 首, “head”, with 9 strokes, and 辶, “going”, with 3 strokes. The Kangxi tradition counts 辶 as 4 strokes, giving 13. Source.
The stroke order of 道 is fixed. A character drawn in another order counts as wrong. The order belongs to the character. Source.
The order runs as follows. Strokes 1 to 9 write 首: 丶 丿 一, then 自. Strokes 10 to 12 write 辶: a dot, a folded stroke and a long flat sweep. The component 辶 stands on the left and encloses the whole from below. Yet it is written last. First the place, then the going that carries the place.
Both parts begin with a dot. Stroke 1 is 丶. Stroke 10 is 丶. Source.
A dot in calligraphy is not a static speck. It is a short stroke: set down, a small direction, lift. The dot is movement of the smallest extent.
So there is one ground act, the stroke, in two states.
Every movement in 道 starts from a point. Never the reverse. A form is not a configuration but a fixed sequence of acts. Its identity lies in the order of making. This is N3, memory as shape, read in writing. It is also T7: the same trits in another order give another address. Reading.
No second actor is needed to draw. The order is the thing itself, as the stroke order is the character.
The movement that leaves a point need not be directed. It may be random. The question is whether it stays bound to its point.
Model the movement as a random string of trits. Each step is +1, 0 or −1 with equal chance. “Bound to the point” means the running sum comes back to 0.
Return after three steps. Count the strings of length 3.
Computed. The numbers 1, 1, 3, 7, 19, 51, 141, … are the central trinomial coefficients. They count exact returns after 0, 1, 2, 3, … steps.
The difference between 7 and 9 matters. Exact return means coming back along the line. The strings 111 and TTT do not come back on the line. They go once around a ring of three. The register counts both as closure. There are two kinds of binding to the point: coming back and going round.
One dimension is always bound. The chance of exact return after n steps behaves as √3 / (2√(πn)). Each step has variance 2/3. The local limit gives 1/√(2πn·2/3) = √3/(2√(πn)).
That chance goes to zero. But the sum over all n diverges. A random movement along one line therefore returns to its point with certainty, and does so infinitely often. Proved: Pólya, 1921. It holds for every step law with mean zero and finite variance.
In three dimensions this fails. There the return probability is P₃ = 0.3405 (Watson, 1939; Theorem T18 of the Foundational Paper). Source.
The consequence is direct. “Random, but bound to the point” needs no force and no second actor. A movement with only one direction, forward and back, stays tied to its point by itself. That is N1, one strand, read without a strand.
Reading, on top of the proved recurrence.
Write the ground act as “. >”: leaving a place. Its mirror is “< .”: arriving at a place.
The mirror need not be given separately. Give “. >” the value +1 and repeat it, counting modulo 3.
Proved: the group ℤ₃ is cyclic and generated by one element. From one act all three trit values arise. This works only on the ring of three. On the plain line, 1 + 1 stays 2.
There are two roads to 0.
These are exactly the two kinds of closure in Theorem T10. A window closes when its three trits are all different (heterogeneous) or all equal (homogeneous). Proved.
So the 0 is neither emptiness nor rest. It is leaving and arriving cancelling in the sum while both exist. In terms of light it is a movement between two places, there and back: a standing wave with the points as nodes. That is the simplest bound light. The mesh is the space between a leaving and an arriving. Reading.
Order still counts. “> <” (towards each other) and “< >” (away from each other) both have sum 0. They differ. The first closes. The second opens. The sum does not see the difference. The order does, as in the stroke order of 道. Open: the register so far measures sums only. It needs a quantity that records order.
The modern 道 is a contraction. Older forms are written 衟 or 衜. Lexicographers read them as a person standing at a crossroads 行. The head 首 sits inside the crossroads. At the bottom stands 止, the foot. Source.
The component 行 carries the meanings walking, passage, birth canal and crossroads. The pairing of 首 with 止 can stand for a person. Source.
The oldest 道 thus holds three things in one sign.
There is no carrier besides these. The crossing, the place and the step are given together. Source for the graph; reading for the mapping.
In 1993 a tomb at Guodian in Hubei yielded bamboo slips from around 300 BCE. They hold the oldest known Laozi material. Beside it lies a short text of 14 slips, the Taiyi sheng shui, “The Great One Gave Birth to Water”. It has not been found anywhere else. Source.
Its opening reads:
太一生水,水反輔太一,是以成天。天反輔太一,是以成地。天地復相輔也,是以成神明。神明復相輔也,是以成陰陽。陰陽復相輔也,是以成四時。四時復相輔也,是以成寒熱。寒熱復相輔也,是以成濕燥。濕燥復相輔也,成歲而止。
In translation:
The Great One gave birth to water. Water returned and assisted the Great One; thus heaven was completed. Heaven returned and assisted the Great One; thus earth was completed. Heaven and earth assisted each other again; thus the spirits above and below were completed. These assisted each other again; thus yin and yang were completed. Yin and yang assisted each other again; thus the four seasons were completed. The four seasons assisted each other again; thus cold and heat were completed. Cold and heat assisted each other again; thus moist and dry were completed. Moist and dry assisted each other again; the year was completed, and it stopped there.
The text then reads the chain backwards. The year is born of moist and dry, moist and dry of cold and heat, and so on back to the Great One. Source.
Then come three sentences that hold the whole mechanism:
是故太一藏於水,行於時,周而又始,以己為萬物母;一缺一盈,以己為萬物經。
Therefore the Great One hides in water and moves through the seasons. It goes round and begins again, and makes itself the mother of the ten thousand things. Once lacking, once full, it makes itself the warp of the ten thousand things.
Source. The word 經 means the warp: the fixed threads of a loom through which everything else is woven.
Chapter 42 of the received Laozi, “One gives birth to two, two to three, three to the ten thousand things”, does not occur in the Guodian Laozi. The older cosmogony does not count. It lets things arise by return and by mutual support. Source.
The material of sections 2 to 8 yields three rules.
R1 — Crossing, place and step (道). There is one movement that leaves a place through a crossing. The place is light. The movement is bound to it.
R1 replaces N1. It needs no strand as a separate carrier. The crossing, the place and the step are given together, as in 衟.
R2 — Return gives birth (反輔). What arises returns to its source, and from that return the next thing arises.
R2 replaces N2. In N2 closure only selects. In R2 closure also produces. Water returns to the One, and heaven is completed. In register terms this is “. >” coming back to its point.
R3 — Mutual support (相輔). Two things that have arisen support each other, and from that support the next layer arises.
R3 is the meeting “. > < .”, with sum 0, but productive. Repeated, it gives the ladder of N5: each layer arises from the pair of the layer before.
What N3 and N4 did is already present.
The image is the same as before. The One is the warp of all things and hides in water. That is the net spanned in water, in the oldest source. Correspondence.
Why this is older and simpler: R1–R3 need no strand, no external rewrite and no selector. Return presupposes a place to return to. That place is light. Arising presupposes a movement bound to that place. That movement is the step of 止. Reading.
Several statements of the Foundational Paper shift.
Reading for all five.
Order. The register records sums. “> <” and “< >” have the same sum but differ. A quantity that records order is needed.
Dimension. A random movement along one line is bound with certainty. In three dimensions the return chance is 0.3405. If space consists of one-dimensional bound movements, where do the three dimensions come from? This is probably where binding and closure part ways.
The nine products. From water to the year, the Taiyi sheng shui names nine products: water, heaven, earth, the spirits, yin-yang, the four seasons, cold-heat, moist-dry and the year. The register has nine closing windows. Whether these belong together must be computed first. It must not be read in.
The third value. Varela (1975) extended Spencer-Brown’s calculus with a third value beside marked and unmarked: the autonomous value of re-entry. That gives three values from distinction alone. How they map onto +1, 0 and −1 is open.
The only thing there is, is light. The units of the net are already one photon: 45.6 nm, 1.52 × 10⁻¹⁶ s, 27.2 eV.
Light is a location. Matter is a location that holds against the progression. c measures the difference.
A location is a point with a bound movement. Along one line, a random movement returns to its point with certainty.
The act combined with itself gives all three trit values. Meeting and going round are the two kinds of closure.
The oldest 道 shows a person at a crossing with a foot. The oldest Daoist cosmogony lets everything arise by return and by mutual support, and calls the One the warp hidden in water.
Three rules follow. One movement leaves a place through a crossing. Return gives birth. Mutual support builds the ladder. The net is not threads and meshes. It is locations referring to locations.
Konstapel, J. (2026). The Vacuum.Net Theory: Foundational Paper. Edition 8, version 8.1. Constable Research, Leiden. Why read? The five axioms, the window register (T9–T14), the unit derivation (VII.2) and the free-path lever (T18) that this essay rewrites. Reading advice: Part 0, then Parts III.4 and VII.2.
Konstapel, J. (2026). “The Possibilities and Impossibilities of the Net.” constable.blog, 19 October 2026. Why read? The fifty-cell map of what the net can do, with the power ceiling and the depth-ladder landings used in section 2.
Larson, D. B. (1959). The Structure of the Physical Universe. North Pacific Publishers, Portland. Why read? Space and time as two aspects of one motion. The photon at rest in the natural reference system; matter as rotation against the progression. Reading advice: the opening chapters on the natural reference system.
Spencer-Brown, G. (1969). Laws of Form. Allen & Unwin, London. Why read? The mark of distinction and re-entry. A location as a distinction needs no carrier. Reading advice: chapters 1–2 and 11.
Kauffman, L. H. (2005). “EigenForm.” Kybernetes 34(1/2), 129–150. Why read? The eigenform O(A) = A as a form that reproduces itself. The basis for reading R as self-reading rather than an external rewrite.
Varela, F. J. (1975). “A calculus for self-reference.” International Journal of General Systems 2, 5–24. Why read? Adds a third, autonomous value to Spencer-Brown’s two. A ternary ground from distinction alone. Varela was also a practitioner of meditation, not only a formalist.
Pólya, G. (1921). “Über eine Aufgabe der Wahrscheinlichkeitsrechnung betreffend die Irrfahrt im Straßennetz.” Mathematische Annalen 84, 149–160. Why read? The proof that a random walk returns with certainty in one and two dimensions, and not in three. The ground of section 5.
Watson, G. N. (1939). “Three triple integrals.” Quarterly Journal of Mathematics 10, 266–276. Why read? The exact return probability P₃ = 0.3405 of the three-dimensional walk.
OEIS A002426. Central trinomial coefficients. Why read? The sequence 1, 1, 3, 7, 19, 51, 141, … that counts exact returns of the trit walk, with its asymptotics.
Knuth, D. E. (1997). The Art of Computer Programming, Vol. 2, 3rd ed. Addison-Wesley. Why read? Balanced ternary and its symmetries, including truncation as rounding. Reading advice: pp. 195–213.
Jingmen Municipal Museum (1998). Guodian Chu mu zhujian 郭店楚墓竹简. Wenwu, Beijing. Why read? The photographic edition and transcription of the Guodian slips, including the Laozi material and the Taiyi sheng shui.
Allan, S. & Williams, C. (eds.) (2000). The Guodian Laozi: Proceedings of the International Conference, Dartmouth College, May 1998. Society for the Study of Early China, Berkeley. Why read? Scholarly discussion of the Guodian Laozi and the first wide treatment of the Taiyi sheng shui in English.
Henricks, R. G. (2000). Lao Tzu’s Tao Te Ching: A Translation of the Startling New Documents Found at Guodian. Columbia University Press, New York. Why read? Chapter-by-chapter translation of the Guodian Laozi, with the ancient and modern graphs. Shows which received chapters are absent, including chapter 42.
Wenlin Institute. Dictionary entry 道 (dào). Why read? The older graphs 衟/衜, read as a person at a crossroads 行 with the foot 止 below. The paleographic basis of section 7.
Williamson, J. G. & van der Mark, M. B. (1997). “Is the electron a photon with toroidal topology?” Annales de la Fondation Louis de Broglie 22(2), 133–160. Why read? The electron as light closed on itself in a double loop. Matter as held light, in a physical model.
Laozi, Daodejing, chapters 11, 25 and 42. Why read? The useful empty centre of the hub (11), the way that goes round (25) and the counting cosmogony (42), to set beside the older Taiyi sheng shui.
J.Konstapel,Leiden, 20-10-2026.
Ex-Plane of : The Possibilities and Impossibilities of the Net
The Vacuum.Net theory rests on five axioms. There is one strand (N1). Only what closes persists (N2). A closed configuration carries memory (N3). The response of the medium is a state function (N4). Each step deeper multiplies the states by three (N5).
These axioms work. They give a ternary register, a closure rule, a depth ladder, and numbers that land on hydrogen, room heat, and the Earth’s cavity.
Yet they carry a hidden second actor. A strand that crosses, winds, and closes is something that travels over places. Then there are two things: the places and the carrier that runs along them. The rewrite rule R has the same problem. It is applied to a ring, but by what?
This essay removes the second actor. It starts from one statement: the only thing there is, is light. It then follows that statement through four steps. Light is a location. A location is a point with a bound movement. That movement combines with itself into all three trit values. And the oldest Chinese form of the character 道, together with the oldest Daoist account of origin, already contains the result.
The outcome is a theory with three rules instead of five axioms. It is simpler. It is also older.
Every step carries a status. Proved means a mathematical result that holds under its hypotheses. Computed means a number checked by arithmetic. Source means a published text or inscription. Reading means an interpretation offered here. Open means not yet settled.
The Foundational Paper (Edition 8.1) fixes two conversion units from hydrogen.
The length unit is S₀ = 1/(2R·H). With the reduced-mass Rydberg constant R·H = 10,967,758.340 m⁻¹, this gives S₀ = 4.55882 × 10⁻⁸ m, or 45.588 nm.
The time unit is T₀ = S₀/c. With c = 299,792,458 m/s, this gives T₀ = 1.52066 × 10⁻¹⁶ s.
The energy unit is E₀ = h/T₀. Write it out:
E₀ = h/T₀ = hc/S₀ = (1.98645 × 10⁻²⁵ J·m)/(4.55882 × 10⁻⁸ m) = 4.35737 × 10⁻¹⁸ J = 27.197 eV.
The paper names E₀ the Hartree energy of hydrogen. It is equally the energy of one photon of wavelength S₀. Length, time, and energy of the net are together one quantum of light. Computed.
Two consequences follow at once.
First, the power ceiling of the net—one closure per mesh per layer time—is E₀/T₀ = 0.0287 W. That is one photon per mesh per period. Computed.
Second, the depth ladder 3ⁿ·S₀ becomes a ladder of one photon read at other depths. At depth 2 the length is 9·S₀ = 410.29 nm, the Balmer Hδ line. At depth 5 it is 243·S₀ = 11.08 μm, close to the peak of room-temperature radiation. At depth 31 it is 3³¹·S₀ = 2.816 × 10⁷ m. The lowest ideal mode of the Earth-ionosphere cavity has wavelength 2πR/√2 = 2.831 × 10⁷ m, for R = 6,371 km. The two differ by 0.5%. Computed.
All three landings are light. The ladder does not pass through different kinds of phenomena. It passes through one spectrum.
The first impulse is to call light the unit motion of the net. One mesh per layer time gives S₀/T₀ = c by construction.
That definition fails. If light is defined as motion at c, it cannot also be the stuff of matter at rest. And “the motion of the net” presupposes a net that moves. Then light is again something other than the net.
The correction is this: light is a location.
Dewey Larson stated the same idea in 1959. In his natural reference system the photon has no motion of its own. It stays at its absolute location. The reference system itself progresses at unit speed. Larson’s dimensions are already part of the Foundational Paper. Source; assumed as postulate.
Relativity offers an echo but not a ground. Along a light path the interval is zero: ds² = 0. This follows from Einstein’s second postulate, so it restates an assumption. A photon also has no rest frame, so “what light experiences” lies outside that theory. Moreover relativity takes c as a universal constant, while N4 treats c as a state function. Relativity is therefore at most a correspondence here. Correspondence.
In the net, Theorem T7 gives every state exactly one address, a balanced-ternary string. Proved. If light is a location, light is an address. The 45.6 nm photon is the address at depth 0. Hδ is the same address at depth 2.
This reverses the earlier picture.
Light stays at its location and is carried along by the progression. Matter is a location that holds itself against that progression. That is closure: what returns in phase stays put while everything else moves on. Larson calls it rotation opposing progression. c is the measure of the difference between the two: one mesh per layer time. That is why matter always measures light at c.
The old question “can light rest?” disappears. Light always rests, in its own terms. What we call motion is matter holding on while the locations progress. Reading.
The character 道 makes the next step visible. It has 12 strokes in the standard count. It consists of 首, “head,” with 9 strokes, and 辶, “going,” with 3 strokes. The Kangxi tradition counts 辶 as 4 strokes, giving 13. Source.
The stroke order of 道 is fixed. A character drawn in another order counts as wrong. The order belongs to the character. Source.
The order runs as follows. Strokes 1 to 9 write 首: a dot, then a horizontal, then 自. Strokes 10 to 12 write 辶: a dot, a folded stroke, and a long flat sweep. The component 辶 stands on the left and encloses the whole from below. Yet it is written last. First the place, then the going that carries the place.
Both parts begin with a dot. Stroke 1 is a dot. Stroke 10 is a dot. Source.
A dot in calligraphy is not a static speck. It is a short stroke: set down, a small direction, lift. The dot is movement of the smallest extent.
So there is one ground act, the stroke, in two states.
Every movement in 道 starts from a point. Never the reverse. A form is not a configuration but a fixed sequence of acts. Its identity lies in the order of making. This is N3, memory as shape, read in writing. It is also T7: the same tries in another order give another address. Reading.
No second actor is needed to draw. The order is the thing itself, as the stroke order is the character.
The movement that leaves a point need not be directed. It may be random. The question is whether it stays bound to its point.
Model the movement as a random string of tries. Each step is +1, 0, or −1 with equal chance. “Bound to the point” means the running sum comes back to 0.
Return after three steps. Count the strings of length 3.
Computed. The numbers 1, 1, 3, 7, 19, 51, 141, … are the central trinomial coefficients. They count exact returns after 0, 1, 2, 3, … steps.
The difference between 7 and 9 matters. Exact return means coming back along the line. The strings 111 and TTT do not come back on the line. They go once around a ring of three. The register counts both as closure. There are two kinds of binding to the point: coming back and going round.
One dimension is always bound. The chance of exact return after n steps behaves as √3/(2√(πn)). Each step has variance 2/3. The local limit gives 1/√(2πn·2/3) = √3/(2√(πn)).
That chance goes to zero. But the sum over all n diverges. A random movement along one line therefore returns to its point with certainty, and does so infinitely often. Proved: Pólya, 1921. It holds for every step law with mean zero and finite variance.
In three dimensions this fails. There the return probability is P₃ = 0.3405 (Watson, 1939; Theorem T18 of the Foundational Paper). Source.
The consequence is direct. “Random, but bound to the point” needs no force and no second actor. A movement with only one direction, forward and back, stays tied to its point by itself. That is N1, one strand, read without a strand.
Light is the point. The movement is random but one-dimensional, and therefore bound. Matter arises where the movement does not merely return, but returns in phase.
Reading, on top of the proved recurrence.
Write the ground act as “>” : leaving a place. Its mirror is “<” : arriving at a place.
The mirror need not be given separately. Give “>” the value +1 and repeat it, counting modulo 3.
Proved: the group ℤ₃ is cyclic and generated by one element. From one act all three trit values arise. This works only on the ring of three. On the plain line, 1 + 1 stays 2.
There are two roads to 0.
These are exactly the two kinds of closure in Theorem T10. A window closes when its three trits are all different (heterogeneous) or all equal (homogeneous). Proved.
So the 0 is neither emptiness nor rest. It is leaving and arriving cancelling in the sum while both exist. In terms of light it is a movement between two places, there and back: a standing wave with the points as nodes. That is the simplest bound light. The mesh is the space between a leaving and an arriving. Reading.
Order still counts. “><” (towards each other) and “<>” (away from each other) both have sum 0. They differ. The first closes. The second opens. The sum does not see the difference. The order does, as in the stroke order of 道. Open: the register so far measures sums only. It needs a quantity that records order.
The modern 道 is a contraction. Older forms are written 行 or 十字 with 首 inside. Lexicographers read them as a person standing at a crossroads 行. The head 首 sits inside the crossroads. At the bottom stands 止, the foot. Source.
The component 行 carries the meanings walking, passage, birth canal, and crossroads. The pairing of 行 with 首 can stand for a person. Source.
The oldest 道 thus holds three things in one sign.
There is no carrier besides these. The crossing, the place, and the step are given together. Source for the graph; reading for the mapping.
In 1993 a tomb at Guodian in Hubei yielded bamboo slips from around 300 BCE. They hold the oldest known Laozi material. Beside it lies a short text of 14 slips, the Taiyi sheng shui, “The Great One Gave Birth to Water.” It has not been found anywhere else. Source.
Its opening reads:
太一生水,水反辅太一,是以成天。天反辅太一,是以成地。天地復相辅也,是以成神明。神明復相辅也,是以成陰陽。陰陽復相辅也,是以成四時。四時復相辅也,是以成寒熱。寒熱復相輔也,是以成濕燥。濕燥復相輔也,成歲而止。
In translation:
The Great One gave birth to water. Water returned and assisted the Great One; thus heaven was completed. Heaven returned and assisted the Great One; thus earth was completed. Heaven and earth assisted each other again; thus the spirits above and below were completed. These assisted each other again; thus yin and yang were completed. Yin and yang assisted each other again; thus the four seasons were completed. The four seasons assisted each other again; thus cold and heat were completed. Cold and heat assisted each other again; thus moist and dry were completed. Moist and dry assisted each other again; the year was completed, and it stopped there.
The text then reads the chain backwards. The year is born of moist and dry, moist and dry of cold and heat, and so on back to the Great One. Source.
Then come three sentences that hold the whole mechanism:
是故太一藏於水,行於時,周而又,以已為萬物母;一缺一盈,以已為萬物經。
Therefore the Great One hides in water and moves through the seasons. It goes round and begins again, and makes itself the mother of the ten thousand things. Once lacking, once full, it makes itself the warp of the ten thousand things.
Source. The word 經 means the warp: the fixed threads of a loom through which everything else is woven.
Chapter 42 of the received Laozi, “One gives birth to two, two to three, three to the ten thousand things,” does not occur in the Guodian Laozi. The older cosmogony does not count. It lets things arise by return and by mutual support. Source.
The material of sections 2 to 8 yields three rules.
R1 — Crossing, place, and step (道). There is one movement that leaves a place through a crossing. The place is light. The movement is bound to it.
R1 replaces N1. It needs no strand as a separate carrier. The crossing, the place, and the step are given together, as in 道.
R2 — Return gives birth (反). What arises returns to its source, and from that return the next thing arises.
R2 replaces N2. In N2 closure only selects. In R2 closure also produces. Water returns to the One, and heaven is completed. In register terms this is “>” coming back to its point.
R3 — Mutual support (相). Two things that have arisen support each other, and from that support the next layer arises.
R3 is the meeting “><” with sum 0, but productive. Repeated, it gives the ladder of N5: each layer arises from the pair of the layer before.
What N3 and N4 did is already present.
Memory (N3). The text reads the chain backwards, each thing with its source. The order of arising is the form, as the stroke order is the character. Alternation. “Once lacking, once full” is +1/−1. “Goes round and begins again” is the cycle of R. The year is the first complete closure. Context (N4). The rest of the text says that the way of heaven values the weak, cuts what is complete to increase what is growing. The response depends on the state, not on a fixed law. Correspondence.
The image is the same as before. The One is the warp of all things and hides in water. That is the net spanned in water, in the oldest source. Correspondence.
Why this is older and simpler: R1–R3 need no strand, no external rewrite, and no selector. Return presupposes a place to return to. That place is light. Arising presupposes a movement bound to that place. That movement is the step of it. Reading.
Several statements of the Foundational Paper shift.
N1 speaks of an oriented, continuous strand. It becomes a sequence of locations with a fixed order of arising. N2 says what does not close does not last. Free light lasts billions of years. Under R2, closure means return in phase, and a cycle of R also returns. Light lasts because it is periodic. Matter lasts because it holds. N4 makes c a state function. If light is the unit, c is 1 in native units. That c varies means the step from address to address per rewrite varies locally. C6 reads 0 as rest. That reading lapses. Rest is now the property of light, not a trit value. The 0 is the meeting of an act with its mirror. R is no longer applied from outside. It is the form reading itself. Its fixed points (T14) are locations that stay equal under self-reference. Kauffman’s eigenform O(A) = A states the same.
Reading for all five.
Order. The register records sums. “><” and “<>” have the same sum but differ. A quantity that records order is needed.
Dimension. A random movement along one line is bound with certainty. In three dimensions the return chance is 0.3405. If space consists of one-dimensional bound movements, where do the three dimensions come from? This is probably where binding and closure part ways.
The nine products. From water to the year, the Taiyi sheng shui names nine products: water, heaven, earth, the spirits, yin-yang, the four seasons, cold-heat, moist-dry, and the year. The register has nine closing windows. Whether these belong together must be computed first. It must not be read in. This is open.
The only thing there is, is light. The units of the net are already one photon: 45.6 nm, 1.52 × 10⁻¹⁶ s, 27.2 eV.
Light is a location. Matter is a location that holds against the progression. c measures the difference.
A location is a point with a bound movement. Along one line, a random movement returns to its point with certainty.
The act combined with itself gives all three trit values. Meeting and going round are the two kinds of closure.
The oldest 道 shows a person at a crossing with a foot. The oldest Daoist cosmogony lets everything arise by return and by mutual support, and calls the One the warp hidden in water.
Three rules follow. One movement leaves a place through a crossing. Return gives birth. Mutual support builds the ladder. The net is not threads and meshes. It is locations referring to locations.
Konstapel, J. (2026). The Vacuum.Net Theory: Foundational Paper. Edition 8, version 8.1. Constable Research, Leiden.
Why read? The five axioms, the window register (T9–T14), the unit derivation (VII.2), and the free-path lever (T18) that this essay rewrites. Reading advice: Part 0, then Parts III.4 and VII.2.
Konstapel, J. (2026). “The Possibilities and Impossibilities of the Net.” constable.blog, 19 October 2026.
Why read? The fifty-cell map of what the net can do, with the power ceiling and the depth-ladder landings used in section 2.
Larson, D. B. (1959). The Structure of the Physical Universe. North Pacific Publishers, Portland.
Why read? Space and time as two aspects of one motion. The photon at rest in the natural reference system; matter as rotation against the progression. Reading advice: the opening chapters on the natural reference system.
Spencer-Brown, G. (1969). Laws of Form. Allen & Unwin, London.
Why read? The mark of distinction and re-entry. A location as a distinction needs no carrier. Reading advice: chapters 1–2 and 11.
Kauffman, L. H. (2005). “EigenForm.” Kybernetes 34(1/2), 129–150.
Why read? The eigenform O(A) = A as a form that reproduces itself. The basis for reading R as self-reading rather than an external rewrite.
Varela, F. J. (1975). “A calculus for self-reference.” International Journal of General Systems 2, 5–24.
Why read? Adds a third, autonomous value to Spencer-Brown’s two. A ternary ground from distinction alone. Varela was also a practitioner of meditation, not only a formalist.
Pólya, G. (1921). “Über eine Aufgabe der Wahrscheinlichkeitsrechnung betreffend die Irrfahrt im Straßennetz.” Mathematische Annalen 84, 149–160.
Why read? The proof that a random walk returns with certainty in one and two dimensions, and not in three. The ground of section 5.
Watson, G. N. (1939). “Three triple integrals.” The Quarterly Journal of Mathematics 10, 266–276.
Why read? The computation of 0.3405 for the three-dimensional walk.
OEIS A002426. Central trinomial coefficients.
Why read? The sequence 1, 1, 3, 7, 19, 51, 141, … that counts exact returns of the trit walk, with its asymptotics.
Knuth, D. E. (1997). The Art of Computer Programming, Vol. 2, 3rd ed. Addison-Wesley.
Why read? Balanced ternary and its symmetries, including truncation as rounding. Reading advice: pp. 195–213.
Jingmen Municipal Museum (1998). Guodian Chu mu zhujian 郭店楚墓竹简. Wenwu, Beijing.
Why read? The photographic edition and transcription of the Guodian slips, including the Laozi material and the Taiyi sheng shui.
Allan, S. & Williams, C. (eds.) (2000). The Guodian Laozi: Proceedings of the International Conference, Dartmouth College, May 1998. Society for the Study of Early China, Berkeley.
Why read? Scholarly discussion of the Guodian Laozi and the first wide treatment of the Taiyi sheng shui in English.
Henricks, R. G. (2000). Lao Tzu’s Tao Te Ching: A Translation of the Startling New Documents Found at Guodian. Columbia University Press, New York.
Why read? Chapter-by-chapter translation of the Guodian Laozi, with the ancient and modern graphs. Shows which received chapters are absent, including chapter 42.
Wenlin Institute. Dictionary entry 道 (dao).
Why read? The older graphs 行/十字, read as a person at a crossroads 行 with the foot 止 below. The paleographic basis of section 7.
Williamson, J. G. & van der Mark, M. B. (1997). “Is the electron a photon with toroidal topology?” Annales de la Fondation Louis de Broglie 22(2), 133–160.
Why read? The electron as light closed on itself in a double loop. Matter as held light, in a physical model.
Laozi, Daodejing, chapters 11, 25 and 42.
Why read? The useful empty centre of the hub (11), the way that goes round (25), and the counting cosmogony (42), to set beside the older Taiyi sheng shui.
Jump to the english article here
Probeer (try the) de Maze-Doctor.
Follow up of : Jouw Persoonlijke Blauwdruk en je Immuunsysteem — Een Gedetailleerde Gids
Uses: Where Illness Comes From
J. Konstapel, Constable Research, Leiden
© 2026 J. Konstapel, Constable Research, Leiden. All rights reserved. Quotation with attribution is permitted; reproduction of the whole requires written permission.
Een uitgebreid essay naar aanleiding van het artikel “Probeer de Maze-Doctor” (J. Konstapel, Constable Research, Leiden, 20 oktober 2026)
Twee mensen zitten in dezelfde kamer met hetzelfde virus. De één heeft drie dagen verkoudheid; de ander krijgt longontsteking. Twee zussen delen de helft van hun genen en het grootste deel van hun jeugd — de ene ontwikkelt lupus op haar dertigste, de andere nooit. Een kwart van de wereldbevolking draagt tuberculose, maar slechts 5 tot 10 procent van die dragers wordt ooit ziek.
De gangbare geneeskunde verklaart een deel van dit verschil met genen, het microbioom, voeding, leeftijd en eerdere blootstelling. Elk van die factoren verklaart een aandeel, maar geen van hen sluit de balans. Eeneiige tweelingen met identieke genomen divergeren in auto-immuunziekte. Identieke blootstelling leidt tot tegengestelde uitkomsten. Er blijft een restant onverklaard.
Dit essay leest dat restant door de lens van de Vacuum.Net-theorie, zoals uitgewerkt in het Maze-Doctor-artikel.
De centrale stelling is opvallend eenvoudig: de blauwdruk bepaalt waar spanning landt; de toestand van de persoon bepaalt wanneer. Ziekte heeft beide nodig.
Hieronder wordt het denkkader uiteengezet, de rekenkundige uitwerking besproken, de empirische onderbouwing gewogen en de menselijke dimensie belicht. Het essay sluit af met een geannoteerde referentielijst.

De Vacuum.Net-theorie vertrekt vanuit één draad. Het staande beeld is een vissersnet onder spanning. Waar de draad zichzelf kruist, ontstaat een kruising; tussen kruisingen liggen de mazen. Een winding is een stuk draad dat in stap op zichzelf terugkeert; een knoop is een configuratie van windingen die elkaar in drie richtingen vasthouden.
Eén regel beslist wat blijft bestaan: een winding persisteert alleen als zij in fase op zichzelf terugkeert. Wat niet sluit, blijft niet als vorm bestaan — de spanning verhuist naar de naastliggende mazen.

Op een kruising gaat de draad erover, eronder, of helemaal niet. Die toestanden worden genoteerd als +1, −1 en 0 — tezamen een trit. Drie opeenvolgende kruisingen vormen een venster. Een venster is gesloten wanneer de som van zijn trits een veelvoud van drie is.
Van de 3 × 3 × 3 = 27 mogelijke vensters sluiten er negen:
Alle achttien vensters met twee gelijke trits en één afwijkende blijven open. De twee soorten sluiting gedragen zich wezenlijk verschillend. Een uniforme sluiting houdt stand zonder te draaien: het is de vorm van een kristal. Een gemengde sluiting blijft draaien terwijl hij gesloten blijft: het is de vorm van levende materie. Waar een uniform stuk op een gemengd stuk stuit, staat het venster op de naad open — en draagt het spanning.
Wanneer de ene vorm de andere leest, zijn er drie uitkomsten: het past (de vorm blijft), het past niet (de vorm wordt afgebroken), of het wordt niet gelezen (de vorm blijft ongemoeid). Een levend lichaam draagt een leeslaag die deze toets op celschaal, continu, van vóór de geboorte tot de dood uitvoert. Op een gewone dag verwijdert zij duizenden cellen waarvan het oppervlak is afgedwaald.
Soms moet het lichaam juist níet afstoten wat het leest: de darmwand bij elke maaltijd, het oog, het kind in de baarmoeder dat voor de helft vreemd is. Daar gebruikt het lichaam wettige nul-tokens — in de kliniek checkpoints genoemd — die de lokale lezing op 0 zetten.
Dit levert één regelaar (“dial”) met twee faalrichtingen:
Veroudering wordt gelezen als verlies van fasevergrendeling: hartslagvariabiliteit daalt, de diepe slaap vlakt af, hormoongetijden raken uit de pas. De misslagpercentage verandert nauwelijks; de afvoersnelheid daalt.
Belangrijk is de methodische terughoudendheid van het artikel: dit zijn lezingen, geen mechanismes. In een één-draadmodel zijn er geen twee afzonderlijke dingen waartussen een causale pijl getrokken kan worden. Het raamwerk gebruikt vier relaties in plaats van oorzaak: selectie door passing, identiteit over schaal, constitutieve relatie en correspondentie.
Een pasgeborene wordt binnen minuten een zelfstandige sluiting. Bij de eerste ademteug openen de longen, daalt de longweerstand en sluiten het foramen ovale en de ductus arteriosus. De circulatie die via de moeder liep, keert nu op zichzelf terug.
De persoonlijke blauwdruk is het adres van de persoon in het net op dat moment. Zij bestaat uit twee delen:
Hieruit volgt de kernstelling, die het gehele artikel samenvat:
De blauwdruk bepaalt waar spanning landt. De toestand bepaalt wanneer. Ziekte heeft beide nodig.
Een blauwdruk alleen voorspelt geen ziekte; een toestand alleen zegt niet waar een ziekte zich zal tonen.
De toestand wordt weergegeven als een eenheidsquaternion met vier assen, die de vier realiteiten van Paths of Change volgen: Blauw (eenheid), Rood (zintuiglijk), Groen (sociaal) en Geel (mythisch). De dominante as stelt de faalklasse in. De toestand wordt na elke waargenomen uitkomst bijgewerkt met een vaste leerfactor (η = 0,15); de invariant blijft daarbuiten.
De blauwdruk wordt langs drie lijnen berekend:
De derde lijn is van bijzonder belang: zij verankert het adres in grootheden die instrumenten registreren, zonder interpretatie.
Het artikel rekent één volledige grafiek uit voor een geboorte op 22 april 1951, 01:02 in Leiden. De uitkomst: twee gedefinieerde kanalen (7–31 en 27–50), vier gedefinieerde centra (G, Keel, Sacraal en Milt), type Generator met sacraal autoriteit, en profiel 6/2. Opmerkelijk is de stabiliteitsanalyse: kanalen en centra zijn op elk half uur van de geboortedag gelijk, maar het profiel niet — de Zon wisselt om 00:57 lokale tijd van lijn 5 naar lijn 6, zodat een geboorte vijf minuten eerder profiel 5/2 oplevert. De toestandsvector normaliseert naar een dominantie van de Gele as, waarmee de faalklasse vastligt.
De strek van het voorbeeld is methodisch: elke stap is rekenwerk op openbare data. Twee implementaties met dezelfde invoer leveren dezelfde grafiek.
De SWARP-lijn beschrijft hoe de leercyclus van een persoon breekt; de coherentiegeneeskunde beschrijft hoe de regulatie van een lichaam breekt, met vijf regulatiefouten: verlies van coherentie, pathologische coherentie (zoals Parkinson-synchronisatie of epilepsie), referentiedrift (zoals essentiële hypertensie), structurele vernietiging (zoals auto-immuun verlies van betacellen), en elementuitval. In het net gelezen zijn dit vijf configuraties van één draad — en de beide lijsten beschrijven één sluiting op twee diepten: de persoon en het weefsel. Als identiteit over schaal opgaat, zouden zij moeten corresponderen: Blauw met referentiedrift, Geel met pathologische coherentie gevolgd door instorting, Groen met verlies van coherentie, Rood met te laat gevonden structurele schade. Die correspondentie wordt in het artikel uitdrukkelijk als voorspelling geformuleerd, te toetsen in een van de vijf tests.
Eerder werk noemde conditionering — een leven geleid in het patroon van een ander of van een omgeving, tegen het eigen patroon in — als bron van immuunverstoring. Het net maakt hier rekenkunst van. Een gemengde draad sluit alleen als hij één richting aanhoudt. Sluit men een draad in tegengestelde richting aan, dan blijven precies twee vensters op de naad open. Die gaan niet weg: zij dragen spanning zolang de richtingen verbonden zijn. In deze lezing is auto-immuniteit de regelaar die op die naad te scherp leest: het lichaam voert weefsel af dat past, omdat het op een naad ligt die niet past.
De SWARP-ondersteuning voor vrouwen in de menopause gebruikt de blauwdruk op de enige manier die het raamwerk toelaat: de ritmewisseling is voor iedereen gelijk, maar waar zij zich voordoet — in slaap, stemming of lichaam — hangt af van de blokkade van de persoon. Daarmee is dit de kernstelling in de praktijk: de toestand bepaalt wanneer, het adres waar.
Het sterkste empirische anker is het geboortemaand-effect. Boland en collega’s bestudeerden 1.749.400 patiënten en toetsten 1.688 aandoeningen; 55 daarvan bleken na correctie op het valse-ontdekkingspercentage (5 procent) van de geboortemaand afhankelijk — waarbij naar verwachting slechts ongeveer drie van de 55 vals zijn. Het signaal is dus reëel.
Multiple sclerose is het best gemeten geval. Een meta-analyse van 151.978 patiënten toont geboorteratio’s van 1,07 (april) en 1,11 (mei) tegenover 0,94 (oktober) en 0,88 (november). Beslissend is de spiegel op het zuidelijk halfrond: in Australië dragen mensen geboren in november–december 1,32 keer het risico van mensen geboren in mei–juni, en na correctie voor de ultraviolette blootstelling van de moeder in het eerste zwangerschaps trimester blijft er geen verband met de geboortemaand over. Die spiegel beslecht het onderscheid tussen seizoen en hemel: de stand van de Zon tussen de sterren is op beide halfronden gelijk, het seizoen niet. Het signaal volgt het seizoen — en daarmee het licht dat de moeder ontving.
Tegelijk is de schaal voor het individu klein. Met een MS-prevalentie in Nederland van 210,4 per 100.000 (2019) komt een mei-meerwaarde van 11 procent neer op ongeveer één extra geval per 4.300 in mei geboren personen. Het effect is reëel voor de populatie en bescheiden voor de persoon. In het raamwerk van het artikel behoort het tot de derde lijn: het veld bij de geboorte, als onderdeel van het adres.
Eén studie van historische Noorse registraties vond dat mensen geboren nabij zonnemaximum gemiddeld 5,2 jaar korter leefden dan mensen geboren nabij zonneminimum, sterker bij meisjes. Een studie van nationale cohorten uit tien landen (geboorten 1751–1915) vond echter geen verband. De vraag blijft open — en de derde lijn van de blauwdruk is erop ingericht haar te beslechten.
Austin en collega’s onderzochten 10.674.945 inwoners van Ontario en zochten in 223 diagnosen naar een verband met astrologisch teken. Twee van de 24 in een tweede cohort geteste associaties haalden p < 0,05 — maar de kans op minstens twee zulke resultaten op toeval is 0,34, en na Bonferroni-correctie (drempel 0,0021) overleefde geen enkele associatie. Dit onderzoek toetst de blauwdruk niet — de blauwdruk is geen zonnenteken — maar illustreert de voorwaarde die elke telling moet halen: de voorspelling moet vaststaan vóór de data worden gezien.
Traditionele geneeskunde is een langdurig experiment met een vast recept: het recept stond vast vóór elke nieuwe patiënt, en generaties zagen de uitkomst. Wat zichtbaar schaadde of niets deed, viel weg — selectie door passing op de schaal van een cultuur. Het resultaat van die selectie is indrukwekkend: Ge Hongs koude extractie van Artemisia (ca. 340 n.Chr.) werd artemisine, nu de kern van malariabehandeling; vingerhoedskruid werd digitalis; wilgenbast werd aspirine; aderlating, lang verguisd, is nu de behandeling van hemochromatose en polycytemie vera (in het CYTO-PV-onderzoek daalde cardiovasculaire dood of grote trombose van 9,8 naar 2,7 procent); arseen uit de Chinese geneeskunde geneest meer dan 90 procent van de acute promyelocytenleukemie; tai chi vermindert valpartijen met hoge zekerheid.
De les is dubbelzijdig. Langdurig gebruik toont dat een praktijk standhoudt — niet welk deel ervan werkt, en niet dat de onderliggende verklaring klopt. Aderlating helpt bij te veel ijzer, niet om de redenen die Galenus gaf. De band tussen geboorteseizoen en constitutie, die zowel de Ayurveda (de prakriti) als de Chinese geneeskunde (de vijf fases gelezen uit seizoen en uur) al meer dan twee millennia maakt, behoort tot deze klasse — en is nu inderdaad gemeten.
Een blauwdruk wordt niet door een instrument alleen gelezen; zij wordt gelezen door een mens die ziek is of bang is te worden. Drie gevolgen worden beklemtoond.
Ten eerste: ziekte is geen vonnis over het adres. Het adres veroudert niet en wordt niet ziek; wat verandert is de toestand. Wie een open venster op een bepaalde naad heeft, is niet voorbestemd tot de ziekte die daar huist — maar weet waar te kijken wanneer spanning stijgt.
Ten tweede: het middel tegen conditionering is geen inspanning. Twee open vensters op een naad sluiten pas wanneer de richtingen weer overeenkomen. Dat betekent een verandering van werk, huis, relatie of ritme. Méér inspanning in de verkeerde richting belast de naad juist extra. Wie dit onderkent, krijgt iets dat geen geneesmiddel geeft: een reden voor de uitputting die niet de eigen zwakte is.
Ten derde: de gewone middelen wegen het zwaarst. Sociale verbinding (met een overlevingskans-ratio van 1,50 — groter dan menig behandeleffect), beweging, licht op het juiste uur, slaap en het lichaam van de moeder voor de pasgeborene: elk herstelt fasevergrendeling. De blauwdruk vervangt hen niet; zij zegt welke van hen een bepaald persoon het eerst nodig heeft.
Het artikel besluit met een protocol van vijf tests, telkens met de voorspelling vastgelegd vóór de telling, en met de telling uitgevoerd door een geautomatiseerde “rechter” met eigen code:
Een geslaagde test verplaatst de betreffende schakel van READING naar MEASURED; een gezakte test schrapt of herschrijft haar. Die openlijk geformuleerde falingsvoorwaarde is misschien wel het meest zakelijke onderdeel van het hele ontwerp.
Het artikel presenteert zichzelf als theorie in opbouw, met een expliciete statuslijst. Gemeten zijn: het geboorteseizoen-effect op 55 van 1.688 aandoeningen, de MS-maandratio’s met hun halfrondspiegel en de moederlijke UV-correctie, het uitblijven van zonneteken-effecten na correctie, en de Nederlandse MS-prevalentie. Berekend zijn: de negen sluitende vensters van 27, de twee open vensters van de conditioneringsnaad, de doorgerekende geboortegrafi en de normalisatie van de toestandsvector. Getest door gebruik zijn de traditionele praktijken en de seizoen-constitutie-band. Lezing (nog toetsend) zijn de kernstelling zelf, de vijf regulatiefouten als draadconfiguraties en auto-immuniteit als te scherpe lezing op de naad. Voorspelling ten slotte zijn de vijf tests.
De verdienste van de Maze-Doctor ligt niet in bewijsvoering — het merendeel van het raamwerk is nog lezing, niet meting — maar in de discipline van de opzet: een gesloten rekenraamwerk, voorspellingen die vóór de telling vastliggen, een expliciete kans-noemer per test en een vooraf geformuleerde voorwaarde om eigen stellingen te laten vallen. Of die opzet de vijf tests doorstaat, is de open vraag. Zij die het antwoord willen volgen, worden uitgenodigd de telling zelf te herhalen.
Bron van dit essay: Konstapel, J. (2026). “Probeer de Maze-Doctor.” Constable Research, Leiden, constable.blog, 20 oktober 2026. Alle onderstaande verwijzingen stammen uit dat artikel.
Werken van Constable Research (theorie en implementatie)
Peer-reviewed empirische bronnen
Conceptuele bronnen
The same pathogen, the same toxin and the same strain make one person ill and leave another untouched. Medicine explains part of this difference with genes, the microbiome and prior exposure. A remainder is left unexplained.
This essay reads that remainder through the Vacuum.Net theory. The theory pictures the world as one strand, a fishnet under tension. Only what closes in phase persists; what does not close carries tension to the meshes beside it.
In this frame a person is a closure. The personal blueprint is the address of that closure at the moment it first held. Illness is read as the place where the body’s reading layer fails. It reads either too weakly, so misfits pass, or too sharply, so healthy tissue is discharged.
The central proposition is simple. The blueprint fixes where tension lands. The state of the person fixes when. Illness needs both.
The blueprint is computed along three lines that the SWARP implementation has developed:
Each line is set out with its arithmetic, and one full chart is computed from raw birth data.
The essay then sets the frame beside what has been measured. The birth season changes the risk of dozens of conditions. For multiple sclerosis the effect mirrors between hemispheres and follows maternal light exposure. Traditional medicine tied birth season to constitution long before it was measured. Sun signs show no effect after correction for multiple testing.
The essay ends with five tests. In each, the prediction is fixed before the count.
Two people sit in the same room with the same virus. One has a cold for three days. The other has pneumonia.
Two sisters share half their genes and most of their childhood. One develops lupus at thirty. The other never does.
A quarter of the world carries tuberculosis. Between 5 and 10 per cent of those carriers ever become ill.
The standing answers are genes, microbiome, nutrition, age and prior exposure. Each explains a share. None closes the account. Twins with identical genomes diverge in autoimmune disease. Identical exposures give opposite outcomes.
Traditional medicine never treated this as noise. Ayurveda assigns each person a prakriti, a constitution set at conception and birth. Chinese medicine reads the season and hour of birth into the balance of the five phases. Both systems have been in continuous use for more than two thousand years. Both hold that illness depends on who the person is, not only on what reaches them.
The personal blueprint takes up that claim in a formal way. This essay asks what the blueprint says about illness, where it says it, and how that can be counted.
The Vacuum.Net theory starts from one strand. The standing image is a fishnet under tension.
One rule decides what stays. A winding persists only if it returns on itself in phase. What does not close does not stay as a form; its tension passes to the meshes beside it.
At a crossing the strand passes over, passes under, or does not cross. These states are written +1, −1 and 0. One such state is a trit.
Three crossings in a row form a window. A window is closed when its trits add to a multiple of three.
Of the 3 × 3 × 3 = 27 possible windows, 9 close:
All 18 windows with two equal trits and one different stay open. Their sum is never a multiple of three.
The two closed kinds behave differently:
Where a uniform stretch meets a mixed stretch, the window on the seam stands open. It carries tension.
When one form reads another, there are three outcomes:
A living body carries a reading layer that runs this test at cell scale, continuously, from before birth to death. On an ordinary day it removes thousands of cells whose surface has drifted.
In some places the body must not discharge what it reads:
There the body uses lawful zero-tokens that turn the local reading to 0. Clinicians call them checkpoints.
This gives one dial with two directions of failure:
Ageing is read as lost phase-lock. Heart-rate variability falls, deep sleep flattens, hormone tides drift out of step. The misfit rate barely changes; the discharge rate falls.
These are readings, not mechanisms. In a one-strand model there are no two separate things between which to draw a causal arrow. The frame uses four relations instead of cause:
A newborn becomes an autonomous closure in minutes. At the first breath:
Circulation that ran through the mother now returns on itself.
The blueprint is the address of the person in the net at that moment. It has two parts:
From this split follows the proposition of this essay:
The blueprint fixes where tension lands. The state fixes when. Illness needs both.
A blueprint alone predicts no illness. A state alone does not say where an illness will show.
The state is a unit quaternion:
q = (w_B, w_R, w_G, w_Y), with w_B² + w_R² + w_G² + w_Y² = 1.
The four axes follow the four realities of Paths of Change: Blue (unitary), Red (sensory), Green (social) and Yellow (mythic). The dominant axis sets the failure class.
The state is updated after each observed outcome r(t):
q(t+1) = norm( q(t) + η · ( r(t) − q(t) ) ), with η = 0.15.
The invariant is excluded from this update.
The first line reads the birth moment as a position of the largest nearby sub-knots: the Sun, the Moon and the planets on the ecliptic ring.
The standard computation is the Human Design chart. It uses:
The ecliptic is divided into 64 gates of 5.625° each, with gate 41 starting at 302°. Each gate has six lines of 0.9375°. Pairs of activated gates form channels. Channels define centres.
The chart is converted to the state vector with fixed weights:
| Chart field | Weight |
|---|---|
| Type | 0.30 |
| Profile | 0.20 |
| Defined centres | 0.25 |
| Active channels | 0.15 |
| Incarnation cross | 0.10 |
Channel circuits map to axes:
The second line reads where a person’s learning cycle breaks. Each dominant axis has its own break:
In the SWARP implementation the failure class sets the blockage. The blockage is the state the person reaches with the greatest difficulty, among four tension states:
The third line reads the physical field at birth, computed from the same date, time and place:
This line ties the address to quantities that instruments record without interpretation.
The example from The Narrative Signature Engine is a birth on 22 April 1951, 01:02, Leiden.
Time. The Netherlands kept Central European Time without summer time in 1951. The birth moment is therefore 00:02 UT. The design moment, with the Sun 88° earlier, falls on 23 January 1951, 21:13 UT, which is 88.12 days before birth.
Ephemeris. Positions are computed with the Swiss Ephemeris and the true lunar node.
| Body | Birth | Design |
|---|---|---|
| Sun | 3.6 | 41.2 |
| Earth | 50.6 | 31.2 |
| Moon | 28.1 | 33.4 |
| North node | 22.2 | 22.3 |
| South node | 47.2 | 47.3 |
| Mercury | 27.5 | 58.6 |
| Venus | 16.3 | 49.2 |
| Mars | 24.2 | 55.1 |
| Jupiter | 25.2 | 37.4 |
| Saturn | 6.5 | 46.5 |
| Uranus | 52.3 | 52.3 |
| Neptune | 57.3 | 57.5 |
| Pluto | 7.5 | 4.1 |
Entries are gate.line.
Result.
Stability.
The state vector. The published vector for this example is (0.22, 0.07, 0.37, 0.82).
The channels themselves are Collective (7–31, Blue) and Tribal (27–50, Green). The Yellow weight therefore comes from the type, profile and cross terms.
The example shows the order of the computation. Every step is arithmetic on public data. Two implementations given the same input return the same chart.
The SWARP line describes how a person’s learning cycle breaks. Coherence medicine describes how a body’s regulation breaks. It distinguishes five regulatory faults:
Read in the net, the five faults are five configurations of one strand:
| Regulatory fault | In the net |
|---|---|
| Loss of coherence | lost phase-lock |
| Pathological coherence | uniform closure where mixed closure belongs: it holds and no longer turns |
| Reference drift | closure in the wrong direction |
| Structural destruction | the dial reads too sharply |
| Element failure | one crossing breaks |
The two lists describe one closure at two depths: the person and the tissue. If identity over scale holds, they should correspond:
| Failure class | Corresponding regulatory fault |
|---|---|
| Blue (script kept too long) | reference drift |
| Yellow (model not revised) | pathological coherence, followed by collapse |
| Green (coupling lost) | loss of coherence |
| Red (signal registered late) | structural damage found late |
This correspondence is the bridge between the blueprint and the illness. It is stated here as a prediction. Section 7 gives the count that tests it.
Earlier work on the personal biofield named conditioning as a source of immune disturbance. Conditioning is a life lived in the pattern of another person or environment, against one’s own.
The net turns this into arithmetic. A mixed strand closes only if it keeps one direction.
Join a strand running (−1, 0, +1, −1, 0, +1) to a strand running (+1, 0, −1, +1, 0, −1). The windows on the seam are:
Every other window closes.
So a life in the wrong direction costs exactly two open windows on the seam. They do not go away. They carry tension as long as the two directions are joined.
Read in the net, autoimmunity is the dial reading too sharply on that seam. The body discharges tissue that fits, because it lies on a seam that does not.
The SWARP support for women in menopause uses the blueprint in the one way the frame allows.
This is the proposition of Section 3.1 in practice. The state sets when; the address sets where.
Many conditions. Boland and colleagues studied 1,749,400 patients born between 1900 and 2000 and tested 1,688 conditions. Fifty-five conditions depended on birth month after false-discovery-rate correction at 5 per cent. At that rate about 0.05 × 55 = 2.75 of the 55 are expected false. The signal is real.
Multiple sclerosis is the best measured case. A meta-analysis of 151,978 patients gives observed-to-expected birth ratios in its conservative set:
The hemisphere mirror. In Australia the pattern is mirrored. People born in November–December carried 1.32 times the risk of people born in May–June. After adjustment for maternal ultraviolet exposure in the first trimester, no association with birth month remained.
This mirror decides between season and sky. The Sun’s place among the stars is the same in both hemispheres. The season is not. The signal follows the season, and through it the light the mother received.
The scale for one person. MS prevalence in the Netherlands is 210.4 per 100,000 (2019). An excess of 11 per cent for May births adds 0.002104 × 0.11 = 0.00023. That is about one extra case per 4,300 people born in May.
The effect is real for the population and small for the person. In the frame of Section 3 it belongs to line three, the field at birth. It is part of the address.
One study of historical Norwegian records found that people born near solar maximum lived 5.2 years less than people born near solar minimum. The effect was stronger in girls. A study of national cohorts from ten countries, births 1751–1915, found no such relation. The question stays open, and line three of the blueprint is built to settle it.
Austin and colleagues studied 10,674,945 residents of Ontario and searched 223 diagnoses for an association with astrological sign. They tested 24 associations in a second cohort. Two reached p < 0.05: Leo with gastrointestinal bleeding, and Sagittarius with fracture of the upper arm.
At α = 0.05 over 24 tests, the chance of at least two such results by chance alone is 0.34. After correction, the threshold is 0.05 / 24 = 0.0021. Neither association passed it.
This study does not test the blueprint. The blueprint is not a sun sign. It does show the condition every count must meet: the prediction must be fixed before the data are seen.
Traditional medicine is a long experiment with a fixed recipe. The recipe was set before each new patient, and generations saw the outcome. What visibly harmed or did nothing fell away. This is selection by fit at the scale of a culture.
The record shows how often that selection was right:
Long use shows that a practice holds. It does not show which part of it works, or that its explanation is right. Bloodletting helps where there is too much iron, not for the reasons Galen gave.
The tie between birth season and constitution belongs to this class. Ayurveda and Chinese medicine both make it. It is now measured.
A blueprint is not read by an instrument alone. It is read by a person who is ill, or afraid of becoming ill.
Three consequences follow for that person.
First, illness is not a verdict on the address. The address does not age and does not sicken. What changes is the state. A person with an open window on a given seam is not destined for the illness that lives there. They know where to look when tension rises.
Second, the remedy for conditioning is not effort. Two open windows on a seam close only when the directions agree again. That means a change of work, of house, of relationship or of rhythm. More effort in the wrong direction adds load to the seam. The person who recognises this gains something no medicine gives: a reason for the exhaustion that is not their own weakness.
Third, the ordinary means carry the most weight. The reference work Where Illness Comes From, Completed lists the measures with the largest effects:
Each restores phase-lock. The blueprint does not replace them. It says which of them a given person needs first.
Each test fixes its prediction before the data are seen. In each, the count runs against a stated chance level. Claude Code runs each count as a separate judge, with its own code. The SWARP data enter only with the consent of their owners.
Test 1. The blockage hit rate.
Test 2. Failure class and regulatory fault.
Test 3. Season against sky.
Test 4. The field at birth.
Test 5. The conditioning seam.
A test that succeeds moves its link from READING to MEASURED. A test that fails removes or rewrites the link.
MEASURED
COMPUTED
TESTED BY USE
READING
PREDICTION (Tests 1–5)
Konstapel, J. (2026). Where Illness Comes From, Completed. First edition, version 1.0, October 2026. Constable Research, Leiden. constable.blog. Why read? Every chapter of ICD-11, one entry per condition, eight fixed sections: what it is, measured, where it starts, cure status, prevention, treatment, simple means, gaps. Part 0 sets out the rules of the net used in Section 2 of this essay. Reading advice: Read Part 0 and Part 1 first. Then use the entries one condition at a time.
Konstapel, J. (2026). The Vacuum.Net Theory: Foundational Paper. Eighth edition, version 8.1, 17 October 2026. constable.blog. Why read? The five starting rules, the window count and the register on which the whole frame rests. Reading advice: Read the five rules and the window count before anything else.
Konstapel, J. (2026). The Personal Blueprint of the Net. 4 August 2026. constable.blog. Why read? The split of the blueprint into a discrete invariant and a continuous state, with the update rule and the closure moment.
Konstapel, J. (2026). The Narrative Signature Engine. 20 May 2026. constable.blog. Why read? The coordinate of the blueprint, its inputs and the worked example of Section 3.6. Reading advice: Recompute the example from the birth data, as Section 3.6 does.
Konstapel, J. (2026). Born into Your Failures: Expectation Failure as Fractal Karma in the SWARP Model. constable.blog. Why read? The failure class of each axis, the weights from chart to quaternion, and the mapping from circuits to axes.
Konstapel, J. (2026). The Personal Biofield and Immune Coherence. 27 May 2026. constable.blog. Why read? The four propositions that first tied the blueprint to immunity, including conditioning.
Konstapel, J. (2026). Het Coherentieprincipe. 20 July 2026. constable.blog. Why read? The five regulatory faults of Section 4.1.
Konstapel, J. (2026). The Chart Is Silent, the Field Is Not. 2 September 2026. constable.blog. Why read? The electromagnetic profile at birth, and the blockage as the place where a shared rhythm change shows.
Konstapel, J. (2026). The Body Is Also a Net. 1 September 2026. constable.blog. Why read? The design of Test 1: the frozen address, the four tension states and the hit rate.
Boland, M. R., Shahn, Z., Madigan, D., Hripcsak, G. & Tatonetti, N. P. (2015). Birth month affects lifetime disease risk: a phenome-wide method. Journal of the American Medical Informatics Association. doi:10.1093/jamia/ocv046. Why read? The widest search for birth-month effects: 1,688 conditions in 1,749,400 patients. Reading advice: Note that the correction is a false-discovery rate. That is why 55 findings carry only about three false ones.
Dobson, R., Giovannoni, G. & Ramagopalan, S. (2013). The month of birth effect in multiple sclerosis: systematic review, meta-analysis and effect of latitude. Journal of Neurology, Neurosurgery & Psychiatry 84(4):427. Why read? 151,978 patients, and the dependence of the effect on latitude.
Staples, J., Ponsonby, A.-L. & Lim, L. (2010). Low maternal exposure to ultraviolet radiation in pregnancy, month of birth, and risk of multiple sclerosis in offspring. BMJ 340:c1640. Why read? The southern-hemisphere mirror, and the adjustment that removes the month effect. Reading advice: This is the decisive study between season and sky.
Willer, C. J. et al. (2005). Timing of birth and risk of multiple sclerosis: population based study. BMJ 330:120. Why read? The first large pooled analysis: 42,045 patients from four northern countries.
Lemmens, C. M. C. et al. (2024). Prevalence and incidence of multiple sclerosis in the Netherlands. Multiple Sclerosis and Related Disorders 93:106207. Why read? The Dutch prevalence used in Section 5.1.
Austin, P. C., Mamdani, M. M., Juurlink, D. N. & Hux, J. E. (2006). Testing multiple statistical hypotheses resulted in spurious associations: a study of astrological signs and health. Journal of Clinical Epidemiology 59(9):964–969. Why read? Ten million people, 223 diagnoses, and a clean demonstration of why a prediction must be fixed first. Reading advice: Use it as the template for how a judge corrects for the number of tests.
Skjærvø, G. R., Fossøy, F. & Røskaft, E. (2015). Solar activity at birth predicted infant survival and women’s fertility in historical Norway. Proceedings of the Royal Society B. Why read? The positive study behind line three of the blueprint. Read it beside the null study over ten countries in Biogerontology (2009).
Tu, Y. (2011). The discovery of artemisinin (qinghaosu) and gifts from Chinese medicine. Nature Medicine 17:1217–1220. Why read? The clearest case of a practice tested by use, traced from a fourth-century text to a modern cure.
Marchioli, R. et al. (2013). Cardiovascular events and intensity of treatment in polycythemia vera. New England Journal of Medicine 368:22–33. Why read? The CYTO-PV trial. Bloodletting, measured.
Sherrington, C. et al. (2019). Exercise for preventing falls in older people living in the community. Cochrane Database of Systematic Reviews. Why read? 108 trials. Tai chi needs no equipment and reduces falls with high certainty.
Holt-Lunstad, J., Smith, T. B. & Layton, J. B. (2010). Social relationships and mortality risk: a meta-analytic review. PLOS Medicine 7(7):e1000316. Why read? An odds ratio for survival of 1.50 from social connection. It is larger than many treatment effects.
McWhinney, W. (1992). Paths of Change: Strategic Choices for Organizations and Society. Sage. Why read? The four realities behind the four axes of the state vector.
Friston, K. (2010). The free-energy principle: a unified brain theory? Nature Reviews Neuroscience 11:127–138. Why read? The account of a living system as one that reduces surprise. It underlies the update rule of the state.
J. Konstapel, Constable Research, Leiden
© 2026 J. Konstapel, Constable Research, Leiden. All rights reserved. Quotation with attribution is permitted; reproduction of the whole requires written permission.
Where Illness Comes From, Completed is a free reference work of 1,253 pages. It covers every chapter of the International Classification of Diseases, eleventh revision (ICD-11), without exception. One entry treats one condition.
Every entry has the same eight sections, in the same order: what it is, measured, where it starts, cure status, prevention, treatment, simple means, gaps.
The uniformity is the instrument. The same eight questions are put to tuberculosis, cataract, diverticulitis and depression. The answers can then be laid side by side.
Three of the eight do the real work. Can it be cured? What prevents it? And what can be done where there is no industry, no cold chain and no money?
The book says of itself that the third question “turned out to be the one that reorganises the book”. This essay follows that thread. It concentrates on what is unusual in the book: the findings, the cases and the method that a reader will not find assembled anywhere else.
The spine of the book is a cure status with four values.
The words are kept narrow on purpose. A treatment that must continue for life does not cure. Phenylketonuria on a lifelong diet is therefore CONTROLLABLE. So is haemochromatosis held by repeated phlebotomy. Gastric MALT lymphoma, cleared by one course of antibiotics, is CURABLE. The book names it as the type case.
Where the honest answer differs by stage, cause or strain, the label is split. Colorectal cancer in the bowel wall has a five-year relative survival of 91.3 per cent. With liver and lung deposits it has 16.9 per cent. One word for both would be false at one end.
The narrowness has consequences that the book enforces against itself. A penile prosthesis was once called “a mechanical cure” in one entry. The native tissue is destroyed and its function substituted, so the deviation remains. The label was corrected. Trachoma appeared twice. One entry split it three ways and reserved RELIEF ONLY for established corneal blindness. The other simply said CURABLE. For a book whose subject is what can and cannot be cured, the book notes, “that omission is the whole of the matter”.
Prevention carries a second scale: STRONG, MODERATE, WEAK, CONTESTED. A compound grade takes the lower value. CONTESTED overrides the others, because disagreement among sources is a statement about the state of the evidence, not its strength. The checking resolved 239 compound grades this way.
A simple means, in the book’s definition, prevents, cures or controls a condition without a long industrial supply chain behind it. A sachet of salt and glucose. A bar of soap. A bed net. A lamp at the right hour. Thirty minutes of walking. A mother’s chest.
Part 3 audits this class. Its dossier holds forty-six interventions, graded as fifty-nine rows. About half of what is commonly claimed for the class does not survive the grading. Both halves are printed, and the order is fixed: what holds first, what does not hold second.
What holds. Reduced-osmolarity oral rehydration solution, at a UNICEF indicative price of US$0.05 a sachet. Against intravenous rehydration, across seventeen trials and 1,811 children, the treatment-failure risk difference is 4 per cent. Roughly one child in twenty-five on oral therapy still needs a drip. Insecticide-treated nets: all-cause child mortality rate ratio 0.83, high certainty. Immediate kangaroo mother care: 28-day mortality 12.0 against 15.7 per cent in 3,211 infants. That is a number needed to treat of 27, and no equipment beyond the mother’s body. Magnesium sulfate for eclampsia, an inorganic salt solution at about US$0.33 an ampoule. Toothbrushing in intensive care: hospital-acquired pneumonia risk ratio 0.67 across fifteen trials. Exercise for knee osteoarthritis: twelve points less pain on a scale of 100, high certainty.
What does not hold, or holds less. The kitchen version of rehydration solution has no mortality estimate at all. Its documented risk is hypernatraemia from mismeasured salt. “Measurement is exactly the step that packaging removes.” Vitamin A supplementation is CONTESTED: a mortality risk ratio of 0.76 without the two-million-child DEVTA trial, 0.88 with it, and 0.96 for DEVTA alone. The 72 per cent protection of folic acid is recurrence prevention, in women with a previous affected pregnancy. For first occurrence there is one trial, not significant. Handwashing reduces diarrhoea episodes by about 30 per cent; no trial establishes fewer deaths. Building latrines without changing their use has not reduced diarrhoea in cluster-randomised trials. Social connection carries one of the largest associations in epidemiology, an odds ratio of 1.50 for survival. The widely repeated comparison with “fifteen cigarettes a day” has no numeric basis in the papers.
Light therapy shows both sides in one entry. As treatment for seasonal affective disorder its effect size is 0.84. In the single head-to-head trial against fluoxetine, light reached 0.80 and the drug 0.24. The same review records hypomania at a number needed to harm of 8. That figure, the book notes, “is rarely mentioned when light is described as side-effect-free”.
Two counter-cases. Vaccination is STRONG for effect by a wide margin: 154 million lives saved since 1974. Yet it sits outside simple means by construction, because every vaccine but one needs an unbroken 2 to 8 °C chain. Amoxicillin is the second case. It is off patent and costs about five US cents a tablet. Its active ingredient runs through more than ten industrial steps and up to about 70 kg of waste per kilogram. There were eight active US drug master files, held by seven companies. “Off-patent describes a legal status. It says nothing about how many steps, how much waste, or how few producers.”
From this the book draws its central reading: “a simple means is not a cheap means. It is a means whose chain closes at the point of need.”
The short list. No validated catalogue of simply producible essential medicines exists. What can be asserted, item by item, is a list of eleven: oral rehydration salts, zinc sulfate, iodised salt, folic acid, ferrous salts, vitamin A capsules, chlorhexidine 7.1 per cent gel, magnesium sulfate injection, sodium chloride and glucose solutions, paracetamol, oral vitamin D.
One WHO production manual exists for the whole class, for oral rehydration salts (2006). For three to four million sachets a year it specifies a mixing room of about 30 m², a packing room of about 45 m² and a quality-control laboratory of about 15 m². Part 3 closes on one sentence: “Simple does not mean improvised. The shortest chain in medicine still has a laboratory in it.”
Across the chapters the third question produces a map. Some of its points are well known to specialists and almost unknown outside them.
Cancer cured by antibiotics. Early gastric MALT lymphoma is cleared in roughly 60 to 80 per cent of cases by one to two weeks of generic antibiotics costing a few dollars. Helicobacter pylori eradication more broadly clears the organism in 70 to 94 per cent of courses. Ulcer recurrence falls from about 60 to 70 per cent a year to under 5 per cent. The organism is a Group 1 carcinogen behind 75 to 90 per cent of non-cardia gastric cancer.
Metastatic cancer cured with off-patent medicines. Four cases stand out. Widely metastatic testicular cancer: roughly 90 to 95 per cent of good-risk patients cured by bleomycin, etoposide and cisplatin. Stage IV Hodgkin lymphoma: 82.8 per cent five-year relative survival on four listed medicines. Acute promyelocytic leukaemia: over 90 per cent cured by all-trans retinoic acid and arsenic trioxide, without chemotherapy in non-high-risk disease. Childhood acute lymphoblastic leukaemia: roughly 90 to 94 per cent cured in high-income settings on a protocol built entirely from off-patent listed drugs.
Treatment that is the removal of blood. In haemochromatosis each 500 mL unit removed takes 200 to 250 mg of iron with it. A homozygote de-ironed before cirrhosis has normal life expectancy. The consumables are a needle, a bag and a nurse. Where the patient donates, the cost to the system is negative. In polycythaemia vera the CYTO-PV trial compared haematocrit targets: cardiovascular death or major thrombosis fell from 9.8 to 2.7 per cent.
Food as cure, and food that is not food. Severe wasting is cured by ready-to-use therapeutic food, with recovery around 80 to 90 per cent in outpatient programmes. The instrument that finds the cases is a paper tape around the upper arm, “and a mother can use it on her own child”. Phenylketonuria shows the limit. The heel-prick test costs a few dollars. The treatment is diet. But the phenylalanine-free amino-acid mixture is a manufactured medical food costing roughly US$5,000 to 25,000 a patient-year. “There is no generic pathway for medical foods.”
The eye, the ear and the skin. Cataract surgery at the Aravind Eye Care System cost US$29.02 per operation in 2013. Its own manufacturing arm brought the intraocular lens to US$3. The complication rate was 1.5 per cent, reported at about half that of the British National Health Service. In the PROSPER trial, 750 tea pickers in Assam received reading glasses. Productivity rose 21.7 per cent overall and 31.6 per cent among those over fifty. Cerumen impaction, a WHO-listed cause of hearing loss, is removed with water and a rubber bulb. The Epley manoeuvre cures roughly 80 per cent of positional vertigo in one session of about two minutes.
The heart and the lungs. Five low-priced interventions carry measured mortality benefits. Benzathine benzylpenicillin cuts rheumatic fever recurrence by 80 to 90 per cent, at about US$0.59 a vial. It suffers repeated global shortages “because the margin is too small to hold manufacturers in the market”. One chewed aspirin at the onset of infarction cuts 35-day vascular mortality by 23 per cent. Oral amoxicillin from a community health worker cuts child pneumonia mortality by 35 to 42 per cent. Dexamethasone and spironolactone complete the five. Beside them stand measures that are not drugs at all. Bystander resuscitation doubles to triples survival from cardiac arrest. Prone positioning in severe respiratory distress needs four or five people, pillows and a protocol, for a number needed to treat of 6.
Oxygen, the constraint that returns. In the infectious diseases, where nothing simple works, oxygen is the recurring limit. It is the rate-limiting treatment in childhood pneumonia and the intervention that turns severe RSV bronchiolitis from often fatal to usually survivable. “It cannot be improvised.” The minimum chain is a concentrator with uninterrupted electricity, or cylinder logistics.
Three measures that are not clinical. In the chapter on reproduction, the perinatal period, congenital anomalies and injury, three of the largest reported effects come from outside the clinic.
The first is Sri Lanka’s pesticide regulation. The suicide rate peaked at 47 per 100,000 in 1995 and then fell about 70 per cent. The reported result is about 93,000 lives over twenty years, at under US$50 per life saved. The bans removed specific agents; total pesticide use still rose.
The second is folic acid in flour. A neural tube closes by the twenty-eighth day after conception, before most pregnancies are recognised. Fortification removes the timing problem. Neural tube defects fell 25 to 50 per cent wherever it was done, at one to ten cents per person per year. “The intervention is a decision taken at a mill.”
The third is mass dog vaccination. Seventy per cent coverage interrupts rabies transmission, at about a dollar per dog.
None of the three falls inside a health-service budget. The book names this as a recurring reason why they are underfunded relative to their effect.
The WHO Model List of Essential Medicines, 24th edition, now holds both ends of the price range. Oral morphine costs cents a dose. Pembrolizumab costs about US$53,000 a year at the United States cash price. Blinatumomab costs about US$180,000 a course at United States list.
The morphine end is the more telling. About 56.8 million people need palliative care each year; roughly 14 per cent receive it. In 2018, 79 per cent of the world’s population consumed 13 per cent of the morphine used for pain. That morphine was 1 per cent of the 388 tonnes manufactured worldwide: about 3.9 tonnes. Oral morphine is the only intervention that appears in the simple-means section of every cancer entry. It is also the one most consistently unavailable. The barrier is legislation, licensing and fear of diversion, not price, patent or technology.
The same pattern appears in insulin. Human insulin is priced at 1.2 to 1.8 times its estimated production cost. Glargine is priced at 5.6 to 7.8 times its own. “The economic problem is in the analogues, not in insulin.”
Part 4 asks the question that no single entry can answer. A medicine exists, it is cheap to make, and it is not available. How short can the production chain be, and who may legally make what? The answer is given as law and institution, never as a recipe.
Three Dutch cases. Each has a published price before and after registration.
The multiples are the headline. The book states that they are not the most important finding.
What actually binds. The Amsterdam preparation of chenodeoxycholic acid did not stop on law. The minister wanted it to continue. The competition authority later fined the rights holder €19.6 million for abuse of a dominant position. The preparation still stopped for sixteen months, because the national institute found unknown impurities in the starting material above the pharmacopoeial limit. “The binding constraint on the short chain is qualification of the active substance, not the legal exemption.”
Registration closes the short chain. The cysteamine preparation existed first and worked. Registration did not add a treatment. It moved an existing one inside the authorisation regime. After that the preparing pharmacies could no longer supply it. The Dutch counter-move, from June 2021, is for academic hospitals and a compounding pharmacy to register their own preparations. The book calls it “the short chain accepting the long chain’s paperwork in order to keep the short chain’s cost base”.
A precedent. In January 2021 the Dutch national health care institute advised against reimbursing registered mexiletine. It advised bringing the pharmacy preparations into the basic package instead. The regulation followed in July 2021. The compounded route became the reimbursed standard of care at roughly a third of the registered price.
Two legal architectures. The European exemption is relational. Directive 2001/83/EC exempts the magistral and the officinal formula, tied to the pharmacy’s own patients, with no volume ceiling. The American Drug Quality and Security Act of 2013 does the opposite. Its section 503B creates a licensed industrial tier with no patient relationship at all, regulated as manufacture. On 30 September 2026 there were 98 registered outsourcing facilities.
Off-patent is not secure supply. Across 554 generic active ingredients, 56.3 per cent have five or fewer certified manufacturers worldwide. In 2025 the Netherlands had 1,134 medicines in shortage, affecting 3.5 million people. The medicines named are levothyroxine, rifampicin, salbutamol, prednisolone, quetiapine, lithium and oxazepam: old, cheap, off-patent and preparable. Pharmacy preparation appears once in the entire national shortage report. The two datasets describe the same medicines from opposite ends and have never been joined. Appendix B calls this the only question in Part 4 with no published answer at all.
Where the chain cannot be shortened. Monoclonal antibodies: the process defines the molecule. Cell therapy: the product is the patient’s own cells. India’s point-of-care CAR-T is expected at about US$50,000 against about US$400,000 in the United States. That is a factor of 8, not the factor of hundreds that compounding achieves for a small molecule. Radiotherapy: the constraint is the workforce, not the machine count. Dialysis: a permanent consumables line. Transplantation shortens that chain. By the second year after transplant the annual cost is €15,018 against €92,616 for in-centre haemodialysis, about a sixth.
The asymmetry of mRNA. An mRNA vaccine cannot be made in a pharmacy. It does not need a global industry either. One production line can make 100 million doses a year with seventy-five to eighty staff. The chain is “short in headcount and footprint and long in technical specificity”. The binding constraint is technology transfer, not scale.
Most reference works record what is currently believed. Several chapters of this one also record what was believed and has been retired. Readers will meet these claims in older textbooks, in clinical habit and in marketing.
Some of the retired certainties are striking. In idiopathic pulmonary fibrosis, the standard immunosuppression of decades raised mortality from 1 to 8 per cent in PANTHER-IPF. Adaptive servo-ventilation in heart failure increased cardiovascular mortality in SERVE-HF. Arthroscopic partial meniscectomy did no better than sham surgery in FIDELITY. Paracetamol was identical to placebo for acute low back pain in PACE, with seventeen days to recovery in both arms. In head injury, the CRASH trial found increased mortality with corticosteroids. In neonatal encephalopathy, cooling helps in high-income settings and raised mortality in the HELIX trial in South Asia. It is a treatment “that works where it was first tested and does not travel”.
Diverticular disease, the entry that prompted the book, contains two reversals. Nuts, seeds and popcorn were forbidden for decades. In a cohort of 47,228 men, popcorn carried a diverticulitis hazard ratio of 0.72: significantly protective. And antibiotics for uncomplicated diverticulitis, standard for seventy years, showed no demonstrated benefit in the DIABOLO and AVOD trials. Hospital stay was shorter without them. The book notes that the failure also puts the infective model of the disease in doubt, and that this question is open.
One observation runs through the chapter on the gut, the frame and the waterworks. Structural findings on imaging are largely age-normal. Disc degeneration is present in about 37 per cent of people without symptoms at twenty and about 96 per cent at eighty. Full-thickness rotator cuff tears are present in over half of people above eighty, many of them painless. “A finding that is present in nearly everyone of a given age is a property of the age, not of the complaint.”
The cancer chapter collects the autopsy evidence in one place. It comes from people who died of something else and whose organs were then examined systematically.
Incidental prostate cancer is present in 5 per cent of men under thirty and 59 per cent of men over seventy-nine. Occult differentiated thyroid cancer is found in 4.1 per cent on partial examination of the gland and 11.2 per cent on whole-gland examination. The difference is the point: “how much cancer is found depends on how hard the pathologist looks.” Occult invasive breast cancer is found in 0.85 per cent; in-situ cancer in 8.9 per cent.
The size of the reservoir tracks the size of the overdiagnosis problem. Prostate and thyroid have large reservoirs and large overdiagnosis. Breast has a small invasive reservoir and a moderate, contested figure concentrated in in-situ disease. South Korea added thyroid ultrasound to health checks; incidence rose roughly fifteenfold between 1993 and 2011 while mortality stayed flat. Nasopharyngeal carcinoma is the control case. No occult reservoir is found at autopsy, and screening by plasma Epstein-Barr virus DNA gives a large stage shift without a measurable overdiagnosis penalty.
The book adds a second list that is rarely made: where overdiagnosis has never been quantified. Gastric, liver, kidney and bladder cancer. Cervical intraepithelial neoplasia, colonic adenoma, uterine fibroids, incidental meningioma, monoclonal gammopathy and monoclonal B-cell lymphocytosis. Several of these have reservoirs as large as the measured ones, or larger.
Childhood cancer carries its own quantity. Paediatric tumours have about 0.13 mutations per megabase against 1.8 in adults, roughly fourteen times fewer. There is almost nothing for checkpoint inhibitors to work on, and checkpoint blockade has broadly failed in paediatric oncology. The immunotherapies that do work in children target a lineage antigen. Survival diverges threefold between rich and poor countries. The book states that the divergence is not biological. A leading cause of death is abandonment of treatment, driven by travel cost, lost income and accommodation.
The book treats the absence of a number as a finding in its own right.
A whole ICD-11 chapter sits outside the global burden accounts. No sleep-wake disorder is a level-three cause in the Global Burden of Disease study. That includes obstructive sleep apnoea, which on the only global estimate affects 936 million adults aged 30 to 69. The funding statement of that study is the single word ResMed.
Chapter 17 of ICD-11, conditions related to sexual health, has existed in released form for seven years. Not one of its categories has a prevalence estimate measured against its own definition. Erectile dysfunction carries a published global prevalence range of 3 to 76.5 per cent. “A 25-fold spread is not a prevalence estimate. It is a measurement failure.”
Seventeen circulatory and respiratory conditions carry no global burden figure in the tables retrieved. Heart failure alone affects about 64 million people; allergic rhinitis about 400 million.
Four WHO fact sheets give their headline figure without a data year. Two expected fact-sheet addresses return pages with no Key Facts and no body. “Any work citing a ‘WHO fact sheet’ for either is citing a document that does not exist.”
Part 0 sets out the rules the book applies. They come from the Vacuum.Net theory, governed by its Foundational Paper, eighth edition, version 8.1. The theory was built at the bottom, with one strand and one test, and no constants given in advance. The book applies it upward and does not repeat the derivation.
The fishnet. The standing image is a fishnet under tension. The net is one strand. Where it crosses itself there is a crossing; between crossings lie openings, the meshes. A winding is a stretch of strand that returns on itself in step. A knot is windings that hold each other in three directions. One rule decides what stays: a winding persists only if it returns on itself in step. What does not close passes its tension to the meshes beside it.
The register. At a crossing the strand passes over, passes under, or does not cross. These are written +1, −1 and 0: a trit. Counting in balanced ternary needs no separate minus sign; negation is mirroring. Three is also the cheapest base. The cost of writing numbers in base r goes as r / ln r. That gives 2.73 for base three against 2.89 for base two.
Windows. Three crossings form a window. It is closed when its three trits add to a multiple of three. Of the 27 possible windows, 9 close. Three are uniform, with three equal trits: the form of a crystal, holding and not turning. Six are mixed, with three different trits: a form that keeps turning while it stays closed. Every content changes; the closure holds. The book calls this the form of living matter. Where a uniform stretch meets a mixed stretch, the window on the seam stands open and carries tension. “That seam is where this book finds most of its deviations.”
The test. When one form reads another there are three outcomes. +1: it fits, and stays. −1: it does not fit, and is taken apart. 0: it is not read, and simply remains. The third outcome carries most of the book. “Health is not the absence of misfits; misfits arise every day, in everyone, in thousands. Health is a test that reads fast enough.”
Illness read through the test. The body carries a reading layer that runs the test at cell scale. There are places where it must not discharge what it reads: the gut wall at every meal, the eye, the child in the womb, which is by signature half foreign. So the body carries official zero-tokens that turn the local reading to zero. Clinicians call them checkpoints. Without them the body destroys itself; with them it has a blind spot. A test that reads too weakly lets misfits through. A test that reads too sharply discharges healthy tissue, which is autoimmunity. “One layer, one dial, two directions of failure.”
Cancer then sits in one sentence: a tumour is the remainder of a selection. For years every variant without the zero-token was discharged and every variant with it was not. The autopsy reservoir of Section 8 is the measured form of that remainder: altered tissue that the test around it held. Ageing is read as lost phase-lock — heart-rate variability, deep sleep, hormone tides drifting out of step — so lifespan is read as coherence-span. Tuberculosis in a quarter of the world, carried and mostly never expressed, is the zero outcome at the scale of a population.
A check at the bottom. Part 0 also prints the theory’s measured anchor. The threshold for gravitational anomalies, a₀, comes out as c·H₀/2π. With H₀ = 70 km s⁻¹ Mpc⁻¹ this gives 1.084 × 10⁻¹⁰ m s⁻², against about 1.2 × 10⁻¹⁰ measured from galaxy rotation curves. With H₀ = 67 it gives 1.050 × 10⁻¹⁰. Both are printed, because the two measurements of the Hubble constant disagree. For the book the point is one only: the frame was not built for biology and bent to fit.
Readings, not mechanisms. The book uses the frame to order, never to supply numbers. Every number comes from the standing literature. Where a measured fact is set beside the rules, the sentence is marked “Read in the net” and closes with “This is a reading, not a mechanism.” There are twelve such readings in the book. In place of cause the book uses four relations: selection by fit, identity over scale, constitutive relation, and correspondence. A dictionary maps every word in the entries — thread, winding, the test, tension, depth, the legitimate zero — onto exactly one element of Part 0.
Two readings show how the frame earns its place in a medical book. On diverticula: “the wall is a mesh under tension, and it yields where it is already open.” The vascular penetration points of the colon wall are the pre-existing openings. Nothing new has to be made for a pouch to form. And on simple means, quoted above: a means whose chain closes at the point of need. Price and patent are read at the wrong depth. What decides is whether the thing can be completed where it is used.
The last distinctive feature is the apparatus. It is unusual for any reference work, and it makes this one usable at a known level of confidence.
The dagger. Every numeric claim was checked against a named source during compilation. A figure read off its source, or resting on a named source not opened again, is printed plainly. A figure whose source could not be opened at all carries a dagger (†). The book counts 2,361 daggers against 6,352 figures resting on a named source. A figure with no source at all was struck, and the sentence says in words what is known without it. “No figure in this book is an estimate.”
The Register of Contradictions. Appendix A records thirty-one places where a single WHO fact sheet contradicts itself. Hepatitis C appears as about 47 million chronic infections in the key facts and 50 million in the sum of the body’s own regional figures. Dengue risk appears as about four billion people and as 5.6 billion. A further table lists pairs of sources of comparable standing that disagree, printed both ways with no winner picked. Four of these differ in method or vintage rather than in the world, and the book says which.
The book against itself. Three conditions turned out to have a full entry in two chapters, written by different hands from different dossiers. Merging the two fibroid entries found one visible disagreement and eight that nobody had seen. “The lesson is not about fibroids.” Two competent writers produced nine disagreements, and only one concerned the headline answer.
An invented number. A number needed to treat of about 50 for aspirin in secondary prevention circulated through the preparation, plausible and correctly cited. The cited paper publishes event rates of 6.7 and 8.2 per cent a year, and no number needed to treat. Recomputed, the figure is 67 a year and 33 over two years. “The figure had no origin.”
The drift. Appendix C records 3,388 corrections over four rounds of checking by readers who had not produced what they read. The dominant finding is that the book “systematically presented itself as better sourced than it was” — everywhere, by every hand, in the same direction, and never by a large step. About 1,480 provenance tags were lowered. “Nothing was discovered to be false by this. What was discovered is that the book did not know what it knew.” The checks themselves were checked. A comparison of entry titles had silently skipped all forty-two infectious-disease entries because they were headed one level higher. An assembly tool had dropped 541 daggers at line breaks. Both faults were found and corrected, and both are recorded.
Read across its 1,253 pages, the book produces two lists that no other single source assembles.
The first is a list of interventions that are cheap, old and effective, with their measured effects and their honest limits. Many sit outside the clinic: at a mill, in a ministry of agriculture, in a veterinary campaign. Others are in the clinic but not in reach, because a chain does not close where they are needed.
The second is a list of conditions where nothing simple works, named as plainly as the successes. Glaucomatous field loss has never been recovered by any treatment. Cochlear hair cells do not regenerate. Multimorbidity remains CONTROLLABLE after thirty-eight trials and 18,073 participants showed no effect of structured deprescribing on admissions or quality of life.
Between the two lists runs the fishnet of Part 0. It does not explain the numbers. It orders them by one question, asked at every depth: does it close where it is used?
The references below are those that carry the most weight in the book and in this essay. Each has two parts: why it is worth reading, and where useful, how to read it. The book itself cites several hundred sources; its appendices name the sources it could not open.
1. Konstapel, J. (2026). Where Illness Comes From, Completed: A Reference Work on Every Chapter of Human Illness, Its Prevention, Its Cure, and What Can Be Done With Simple Means. First edition, version 1.0, October 2026. Constable Research, Leiden. Why read? The subject of this essay. 1,253 pages, every ICD-11 chapter, one eight-section entry per condition. Reading advice: Start with “How to use this book” (pp. 12–13). Then read Part 3 (pp. 1221–1230) and Part 4 (pp. 1231–1240) before any entry. The appendices (pp. 1241–1253) explain how much weight each figure carries. Use the entries as a reference, one condition at a time.
2. Konstapel, J. (2026). Where Illness Comes From. Ninth edition, September 2026. constable.blog. Why read? The predecessor. It walks one frame from first chemistry to the human being and takes its cases where they illustrate a layer. It is not a catalogue. Diverticulitis does not appear in it; that absence prompted the completed book. Reading advice: Read for the frame and the layer-by-layer argument. Use the completed book for any particular condition.
3. Konstapel, J. (2026). The Vacuum.Net Theory: Foundational Paper. Eighth edition, version 8.1, 17 October 2026. constable.blog. Why read? The governing statement of the rules in Part 0: one strand, closure as the only selection rule, memory, context, scale, and the ternary register. Reading advice: Read the five starting rules and the window count first. The a₀ derivation shows how the frame was made testable at the bottom before it was walked upward.
4. GBD 2023 Collaborators (2025). Global Burden of Disease Study 2023. The Lancet, published 12 October 2025. Why read? The book’s burden basis: 292 causes of death, 375 diseases and injuries, 204 countries, 1990–2023. Reading advice: Note what is not in it. No sleep-wake disorder is a level-three cause, and heart failure is not a cause line. The per-condition Results Tool is the single source that would retire the most daggers in the book.
5. World Health Organization (2019–). International Classification of Diseases, 11th Revision (ICD-11 MMS). Why read? The scaffold of the book. Its chapters 07 (sleep-wake) and 17 (sexual health) are new in ICD-11, and both lack measured epidemiology. Reading advice: Read the chapter introductions and the extension codes (Chapter X). The HA40 aetiology axis shows how ICD-11 moves causation off the diagnosis and onto a separate coordinate.
6. Ferlay, J. et al. / International Agency for Research on Cancer. GLOBOCAN 2022 and GLOBOCAN 2024. Why read? Cancer incidence and mortality by site. The book prints both editions side by side. Reading advice: Cervical cancer moves from 662,301 to 604,196 cases between editions. The book reads this as a methodological revision, not a trend. Do not compare editions as if they were a time series.
7. World Health Organization (2006). Oral Rehydration Salts: Production of the New ORS. Geneva: WHO. Why read? The only operational WHO production manual for a simple means. Formulation, raw-material specifications, quality-control tests, premises and shelf life. Reading advice: Read the premises specification. It is the concrete form of the book’s sentence that the shortest chain still has a laboratory in it.
8. Imdad, A. et al. (2022). Vitamin A supplementation for preventing morbidity and mortality in children from six months to five years of age. Cochrane Database of Systematic Reviews. Why read? Nineteen trials, 1,202,382 children, all-cause mortality risk ratio 0.88. The central source for one of the book’s CONTESTED grades. Reading advice: Read the sensitivity analysis with and without the DEVTA trial. The familiar 24 per cent rests mainly on trials before 1994.
9. Magpie Trial Collaborative Group (2002). Do women with pre-eclampsia, and their babies, benefit from magnesium sulphate? The Lancet 359:1877–1890. Why read? 10,141 women in 33 countries. Eclampsia 1.9 against 0.8 per cent, a number needed to treat of 91, from an inorganic salt solution. Reading advice: Read it beside the UNICEF price of about US$0.33 an ampoule. Few interventions combine this effect with this simplicity of manufacture.
10. WHO Immediate KMC Study Group (2021). Immediate “kangaroo mother care” and survival of infants with low birth weight. New England Journal of Medicine 384:2028–2038. Why read? 3,211 infants in five countries. 28-day mortality 12.0 against 15.7 per cent, a number needed to treat of 27, with no equipment beyond the mother’s body. Reading advice: The trial stopped early for benefit, which overstates effect size. The book prints that qualifier with the figure.
11. Clasen, T. F. et al., for the HAPIN Investigators (2022). Liquefied petroleum gas or biomass fuel for cooking and effects on birth weight. New England Journal of Medicine. Why read? 3,200 households. Personal fine-particle exposure fell 66 per cent, verified. Birth weight did not change. Reading advice: Read it with RESPIRE (Guatemala) and CAPS (Malawi). Large attributable fractions and null trials stand side by side, and the book leaves the question open.
12. Holt-Lunstad, J., Smith, T. B. & Layton, J. B. (2010). Social relationships and mortality risk: a meta-analytic review. PLOS Medicine 7(7):e1000316. Why read? 148 studies, 308,849 participants, survival odds ratio 1.50. Larger than many treatment effects in the book. Reading advice: Look at the sub-measures. Complex social integration is strongest and most confounded. Living alone, the hardest measure, is weakest and not significant. The “fifteen cigarettes” comparison is not in the paper as a number.
13. Sherrington, C. et al. (2019). Exercise for preventing falls in older people living in the community. Cochrane Database of Systematic Reviews. Why read? 108 trials, 23,407 participants. Rate of falls 0.77 at high certainty: the only high-certainty result in the book’s chapter on sexual health, the non-disease chapters and the cross-cutting states. Reading advice: Balance and functional training carry the effect. Tai Chi needs nothing at all.
14. Leong, D. P. et al. (2015). Prognostic value of grip strength: findings from the Prospective Urban Rural Epidemiology (PURE) study. The Lancet 386:266–273. Why read? 139,691 people in 17 countries. Each 5 kg less grip strength raises all-cause mortality by a hazard ratio of 1.16. Reading advice: Read it as a measurement that takes seconds and reports on the whole person.
15. Bell, K. J. L. et al. (2015). Prevalence of incidental prostate cancer: a systematic review of autopsy studies. International Journal of Cancer 137:1749–1757. Why read? 29 autopsy studies. 5 per cent under thirty, 59 per cent over seventy-nine. Reading advice: Set the 59 per cent beside a lifetime risk of dying of prostate cancer of roughly 2 to 3 per cent.
16. Furuya-Kanamori, L. et al. (2016). Prevalence of differentiated thyroid cancer in autopsy studies over six decades: a meta-analysis. Journal of Clinical Oncology 34:3672–3679. Why read? 12,834 autopsies. 4.1 per cent on partial and 11.2 per cent on whole-gland examination. Reading advice: The difference between the two figures is the finding: the amount of cancer found depends on how hard one looks.
17. Thomas, E. T. et al. (2017). Prevalence of incidental breast cancer and precursor lesions in autopsy studies. BMC Cancer 17:808. Why read? 2,363 autopsies. Invasive cancer 0.85 per cent, in-situ 8.9 per cent. Reading advice: Explains why breast overdiagnosis is moderate and concentrated in in-situ disease.
18. Vaccarella, S. et al. (2016). Worldwide thyroid-cancer epidemic? The increasing impact of overdiagnosis. New England Journal of Medicine 375:614–617. Why read? About 470,000 women and 90,000 men overdiagnosed in twelve countries over two decades. Reading advice: Read with the South Korean incidence curve: a fifteenfold rise with flat mortality.
19. Gröbner, S. N. et al. (2018). The landscape of genomic alterations across childhood cancers. Nature 555:321–327. Why read? 961 tumours. 0.13 mutations per megabase against 1.8 in adults. Reading advice: Read it with the clinical consequence the book draws: checkpoint blockade has broadly failed in children, while lineage-antigen therapies work.
20. de Martel, C. et al. (2020). Global burden of cancer attributable to infections in 2018. The Lancet Global Health 8:e180–e190. Why read? 2.2 million infection-attributable cancers, about 13 per cent. H. pylori alone about 810,000. Reading advice: Only four agents are counted. Epstein-Barr virus, HHV-8, HTLV-1 and Schistosoma haematobium are not, which affects several of the book’s cancer entries.
21. World Health Organization and International Agency for Research on Cancer (2026). Analysis of 2022 cancer cases attributable to modifiable risk factors. Nature Medicine. Why read? 37.8 per cent of 2022 cancer cases, about seven million, with a published derivation. Reading advice: The book prefers this figure to the widely quoted but unsourced 30 to 50 per cent. Attributable is not the same as preventable now.
22. Daniels, L. et al. (2017). Randomized clinical trial of observational versus antibiotic treatment for a first episode of CT-proven uncomplicated acute diverticulitis (DIABOLO). British Journal of Surgery 104:52–61. Why read? 528 patients in 22 Dutch centres. No difference in recovery; hospital stay shorter without antibiotics. Reading advice: Read with AVOD (Chabok, British Journal of Surgery 2012). The trials were not powered for rare outcomes and excluded the immunosuppressed. The supported conclusion is “no demonstrated benefit”.
23. Strate, L. L. et al. (2008). Nut, corn, and popcorn consumption and the incidence of diverticular disease. JAMA 300:907–914. Why read? 47,228 men over eighteen years. Popcorn hazard ratio 0.72 for diverticulitis. Decades of dietary restriction pointed the wrong way.
24. Crowe, F. L. et al. (2011). Diet and risk of diverticular disease in Oxford cohort of EPIC. BMJ 343:d4131. Why read? 47,033 participants. Highest against lowest fibre fifth: hazard ratio 0.59 in the abstract and 0.58 in the results section of the same paper. Reading advice: Read with Peery et al., Gastroenterology 2012, where higher fibre went with more diverticulosis. The outcomes differ: clinical disease against pouches seen at colonoscopy. No trial has randomised fibre.
25. Idiopathic Pulmonary Fibrosis Clinical Research Network (2012). Prednisone, azathioprine, and N-acetylcysteine for pulmonary fibrosis (PANTHER-IPF). New England Journal of Medicine 366:1968–1977. Why read? Stopped early. Mortality 8 against 1 per cent. The heaviest reversal in the respiratory chapter.
26. Sihvonen, R. et al. (2013). Arthroscopic partial meniscectomy versus sham surgery for a degenerative meniscal tear (FIDELITY). New England Journal of Medicine 369:2515–2524. Why read? No benefit over sham surgery. The operation continues at scale. Reading advice: Read with the book’s section on age-normal imaging findings; the two explain each other.
27. Thayyil, S. et al. (2021). Hypothermia for moderate or severe neonatal encephalopathy in low-income and middle-income countries (HELIX). The Lancet Global Health 9:e1273–e1285. Why read? No reduction in death or disability; increased mortality. Reading advice: The clearest case in the book of a treatment that works where it was tested and does not travel.
28. World Health Organization (2025). WHO Model List of Essential Medicines, 24th List. Technical Report Series 1064. Why read? The governing edition for the book. It holds oral morphine at cents a dose and pembrolizumab at tens of thousands of dollars a year. Reading advice: Distinguish a selected medicine from a therapeutic equivalent. The book treats the distinction as load-bearing.
29. UNICEF Supply Division. UNICEF Supply Catalogue, read 19 October 2026. Why read? The working substitute for the retired MSH price guide. Indicative US-dollar prices with material numbers that can be rechecked. Reading advice: The catalogue returns different prices for the same material number on different pages. Treat its figures as indicative and dated, never as a price.
30. Management Sciences for Health. International Medical Products Price Guide. Last edition 2017; website retired after 30 June 2024. Why read? For its history. Four of the book’s research lines named it as the source that would settle the weakest data. It no longer exists as a live product. Reading advice: Any price traceable to it is a 2017 price.
31. Gotham, D., Barber, M. J. & Hill, A. (2018). Production costs and potential prices for biosimilars of human insulin and insulin analogues. BMJ Global Health 3:e000850. Why read? Production cost estimates per phial for human insulin and three analogues. Human insulin is priced near cost; glargine at five to eight times its own. Reading advice: The estimates are for phials only, while current prices cover pens and cartridges too. A second, lower estimate of about US$1 a vial exists; the book prints both.
32. European Parliament and Council (2001). Directive 2001/83/EC on the Community code relating to medicinal products for human use, Articles 3(1), 3(2) and 5(1). Why read? The two sentences on which the whole European short chain rests: the magistral and the officinal exemption. Reading advice: Note what is absent. There is no volume ceiling; the limit is the pharmacy’s own patient relationship.
33. United States Congress (2013). Drug Quality and Security Act, sections 503A and 503B of the Federal Food, Drug, and Cosmetic Act. Why read? The opposite architecture: a licensed industrial compounding tier with no patient relationship, regulated as manufacture.
34. Autoriteit Consument & Markt (2021). Decision on Leadiant Biosciences: abuse of dominant position in the pricing of CDCA-Leadiant. The Hague, 19 July 2021. Why read? The €19.6 million fine in the chenodeoxycholic acid case. The authority held magistral preparation to be an exception to orphan exclusivity and a room for lower prices. Reading advice: Read it with the book’s finding that the preparation stopped on impurities in the starting material, not on law.
35. Zorginstituut Nederland (2021). Advice on reimbursement of registered mexiletine, 14 January 2021. Why read? A national authority prefers the pharmacy preparation to the registered orphan product and brings the preparation into the basic package.
36. Inspectie Gezondheidszorg en Jeugd (2023). Circular on supply of pharmacy preparations beyond the pharmacy’s own patients. Why read? Six conditions that define where the short chain may serve a population in the Netherlands. Reading advice: The circular says openly that this route rests on enforcement discretion, not yet on statute.
37. World Health Organization (2020). Palliative Care. Fact sheet, 5 August 2020, citing the International Narcotics Control Board. Why read? 56.8 million people in need, about 14 per cent reached. In 2018, 79 per cent of the world’s population used 13 per cent of the morphine for pain. Reading advice: Compute the tonnage: 1 per cent of 388 tonnes is about 3.9 tonnes for most of humanity.
38. Temel, J. S. et al. (2010). Early palliative care for patients with metastatic non-small-cell lung cancer. New England Journal of Medicine 363:733–742. Why read? Better quality of life, less depression, less aggressive end-of-life care, and a median survival 2.7 months longer. Reading advice: Read with the 2017 Cochrane review. The quality-of-life benefit survives pooling; the survival benefit does not reach significance.
39. Barnett, K. et al. (2012). Epidemiology of multimorbidity and implications for health care, research, and medical education. The Lancet 380:37–43. Why read? 1.75 million patients in Scotland. More multimorbid people are under sixty-five than over it. Deprivation brings onset forward by ten to fifteen years.
40. Yusuf, S. et al. (2004). INTERHEART. The Lancet 364:937–952; and O’Donnell, M. J. et al. (2016). INTERSTROKE. The Lancet 388:761–775. Why read? Nine and ten modifiable factors with combined attributable risks of 90.4 and 90.7 per cent. Reading advice: Both are case-control studies. An attributable risk from that design is not a demonstrated preventable fraction. The phrase “90 per cent of heart attacks are preventable” is not what either study measured.
41. ISIS-2 Collaborative Group (1988). Randomised trial of intravenous streptokinase, oral aspirin, both, or neither among 17,187 cases of suspected acute myocardial infarction. The Lancet 2:349–360. Why read? One chewed aspirin at the onset of infarction: 23 per cent less 35-day vascular mortality, for under one cent.

J.Konstapel,Leiden,16-10-2026
© 2026 J. Konstapel, Constable Research, Leiden. All rights reserved. Quotation
with attribution is permitted; reproduction of the whole requires written
De meeste vragen over het vacuüm worden gesteld in de taal van het vuur: energie, brandstof, arbeid en rendement. Dat zijn begrippen die beschrijven hoe een keten van omzettingen verloopt, waarbij op elke schakel warmte verloren gaat. Het essay “Reading the Net” betoogt dat die taal haar eigen antwoord beperkt: wie naar energie vraagt, vindt alleen kranen, en ziet over het hoofd wat geen energiehoeveelheid is. Beyond Energy (derde editie) draait de vraag daarom om. Het vraagt niet wat de mens uit het vacuüm kan halen, maar wat het net zelf kan doen, uitgedrukt in zijn eigen grootheden. Dat omslaan van perspectief levert een kaart op die groter is dan de energievraag: het lezen van de toestand van een plaats, het in één toestand houden van twee verre structuren, het selecteren van materie op adres en het in permanente circulatie houden van een configuratie.
De kern van de methode is opvallend systematisch. Het net kent tien beïnvloedbare grootheden — spanning, dichtheidsafwijking, fase, koppeling, adres, diepte, rust, geheugen, handedheid en de tritwet — die elk op vijf manieren kunnen worden benaderd: lezen, instellen, selecteren, koppelen en openlaten. Tien maal vijf geeft vijftig cellen, en elke cel is uitgewerkt, waar mogelijk getoetst en voorzien van een expliciete status: aangenomen, bewezen, berekend, gemeten of open. De technologie van het vuren-tijdperk vult er naar schatting slechts vier van: zij leest en stelt stroom, en zij leest en stelt warmte. De overige cellen zijn leeg, niet omdat ze onmogelijk zijn, maar omdat er nog geen woord voor bestaat.
De theorie stelt zich het vacuüm voor als een visnet dat in water is gespannen, met draden die overal doorheen lopen en altijd onder spanning staan. Waar draden om elkaar heen slingeren, ontstaan knopen — dat is materie — en tussen de draden liggen mazen met een eigen vorm en grootte. Vijf axioma’s dragen het geheel: één draad die alleen lokaal over zichzelf kan kruisen (met de drie toestanden +1, −1 en 0), sluiting als enige selectiecriterium, geheugen dat het verdere verloop begrenst, context waardoor natuurconstanten functies worden van de lokale spanning, en schaal waarbij elke trede dieper een drievoud aan toestanden toevoegt. Twee eenheden, beide aan waterstof ontleend, fixeren de maat: een lengte-eenheid van 45,6 nm en een tijdeenheid van 1,52 × 10⁻¹⁶ s.
Het cruciale is dat deze regels op een register kunnen worden nagespeeld. Een venster van drie aangrenzende kruisingen sluit wanneer de som van zijn tritsen 0 modulo 3 is; negen van de zevenentwintig mogelijke vensters sluiten. Een ring van tritsen wordt herschreven door één regel, R, die elke trit vervangt door de negatieve som van zijn buren. De methode is daarmee bijzonder streng voor zichzelf: negen voorspellingen werden vooraf opgeschreven, zes hielden stand en drie faalden — en juist de mislukkingen markeren de grenzen van de kaart.
Het plafond en de kloof. Eén winding op diepte nul draagt 4,357 × 10⁻¹⁸ J. Onder de aanname van één volledige sluiting per maas per laagtijd volgt een maximaal vermogen van 0,0287 W per maas, oftewel een plafond van 1,38 × 10¹³ W per vierkante meter per laag. De enige daadwerkelijk gemeten kraan — een diode met een holte van 33 nm, die 1,4 pW leverde zonder aangelegde spanning — zit daar op een factor vijf biljoen (5,1 × 10⁻¹²) onder. Dat getal herkadert het veld: het toont niet dat het net zwak is, maar hoe ver het huidige ontwerp van wat het net vervoert verwijderd staat. Hetzelfde rekenwerk voorspelt 70 W/m² bij uitsmering over oppervlak, en een kruisproef op diepte vijf landt binnen een factor 9,5 van de warmtestraling van een kamer van 20 °C.
Drie stappen beneden zijn één stap boven. Groepeer een ring in blokken van drie, beschouw elk blok als één trit van een ouderring, en de regel R werkt op de ouder exact zoals op het kind — mits men drie stappen beneden gelijkstelt aan één stap boven. Het bewijs is kort en elegant: over het lichaam van drie elementen is de derde macht additief (de Frobenius-identiteit), zodat R³ dezelfde regel is met buren drie plaatsen uit elkaar. Dit is precies wat renormalisatie in de fysica zoekt — een regel die zijn vorm behoudt bij vergroving — en op het register is het resultaat exact.
Lock bestaat alleen op de ladder. Twee gekoppelde ringen die elkaar met gewicht k = 2 lezen, worden identiek — maar uitsluitend wanneer hun lengte een macht van drie is. Het verschil tussen de ringen wordt dan bij elke stap vermenigvuldigd met een nilpotente operator, die op lengten 3^k binnen [3^k/2] stappen tot nul reduceert: 5, 14, 41 en 122 stappen, precies zoals gemeten. Het teken van de koppeling is een tegengestelde, zoals al in 1665 Christiaan Huygens bij twee klokken aan één balk zag. De omkering is minstens zo nuttig: buiten de ladder behouden gekoppelde systemen hun verschil — een manier om constructies te bouwen die niet massaal tegelijk falen.
Wat het register toestaat en verbiedt. De lading (som modulo 3) blijft onder R behouden, maar richting niet: een losse bias wordt in één stap uitgewist. Richting blijft alleen staan waar ze wordt vastgehouden — vaste sites ordenen hun buren — wat rechtstreeks aansluit bij de fysica van Brownse ratjetoes: asymmetrie alleen geeft niets door, asymmetrie plus een greep wel. Orde valt bovendien naar boven toe met de derde macht weg, geheugen verhoogt de sluitingsgraad tot een plateau van 0,62 en niet verder, en circulatie is de regel: vrijwel geen enkele ring komt tot rust, met perioden die 3^j − 1 delen. Dat geeft een nauwkeurige betekenis aan een stroom die nooit stopt en waarin niets wordt gemaakt of verloren — geen perpetuum mobile, want er verlaat niets het net en er treedt niets in.
De ladder landt. De diepteladder, met lengten 3ⁿ · S₀, raakt drie bekende grootheden: de violette Hδ-lijn van waterstof op diepte twee, de piek van kamertemperatuurstraling op diepte vijf, en — het opvallendst — de ideale laagste trillingsmodus van de aarde-ionosfeerholte op diepte eenendertig, binnen 0,5 %. Deze overeenkomsten worden terecht als correspondenties geregistreerd, niet als bewijs.
Mogelijkheden zonder naam. De vijftig cellen bevatten mogelijkheden die nog geen gevestigde naam dragen: gepositioneerde materie op het kritische punt, de tegengestelde lock als “klokken die zonder meester overeenkomen”, de dieptetandwiel met zijn strenge 3:1-ritme, de kommakeuze waarin geometrie alleen de doorgang bepaalt, de handpoort van helische mazen (gemeten als spineselectie in DNA), materie op adres, de knip als enige route naar een nieuw adres, en de persoon in de maas, die verklaart waarom historische apparaten bij hun bouwer werkten en bij vreemden niet.
De kaart benoemt expliciet wat niet kan: adressen zijn niet te duwen, de fijnstructuurconstante beweegt niet, een losse bias wordt uitgewegd en zwakke orde blijft lokaal. Deze grenzen besparen moeite en geven de theorie een zakelijke betrouwbaarheid die veel speculatiever werk mist.
De verwijzingen naar religie, literatuur, muziek en sciencefiction zijn evenmin decoratie, maar volgen een criterium: de bruikbaarste getuigen zijn zij die een verschijnsel van binnenuit ontmoetten. Indra’s net uit de Avatamsaka Soetra, het nuttige midden van het Tao Te Ching, de Pythagoreïsche komma, de tihai uit de Hindoestaanse muziek, Steve Reichs fasewerken en Stockhausens eenheid van ritme en toonhoogte lezen het net allemaal op hun eigen manier. Vier motieven keren steeds terug: de grond is vol, de opening is wat werkt, drie is het begin, en terugkeer is normaal. Het zijn geen bewijzen, maar oudere lezingen.
De menselijke consequentie is helder geformuleerd. Een wereld die met het net werkt, behoeft geen lange keten; brandstofimport, pijpleidingen en centrale installaties verliezen hun reden van bestaan. De diepere verandering ligt in wat als grondstof telt: in het vuren-tijdperk is een hulpbron een voorraad, in het net een passende vorm van vorm, fase en diepte. Toegang hangt af van begrip, niet van het eigendom van de grond boven een winning — en of dat begrip gedeeld wordt, is een keuze die mensen maken.
AanleidingNieuwe chipfabriek in Twente stap dichterbij
Based on J. Konstapel, “What Three Adds: Phase-Encoded Ternary Light in Symmetric Couplers and Counter-Coupled Resonator Chains” (Constable Research, Leiden, version 2.0, 21 October 2026): DOI: 10.13140/RG.2.2.36436.36483
A new chip factory is being built in Enschede. It is called New Origin. It will make photonic chips from silicon nitride. Chips that carry light instead of electricity. Imec is transferring its manufacturing process to the plant. The investment is around €200 million. Opening is planned for 2027.
The plant is a pure-play foundry. That means it makes other people’s designs. Any team with a good idea can have a chip made there. No cleanroom of their own is required.
This paper asks a focused question about that platform. Chips can encode data in the phase of light. Phase is the position of a wave in its cycle. You can divide a full cycle into any number of steps. The question is: what happens when you divide it into exactly three steps — and not two, four, or five?
The answer is a short list of exact, proven facts. Those facts are the raw material for new products.
A computer stores information in symbols. Today’s chips use two symbols: 0 and 1. This paper studies a third option: three symbols per unit, written into the phase of light.
Two results stand out for a general audience.
First: a simple optical device can read ternary data in one pass. A three-way beam splitter — a “tritter” — is a small, passive component. It can be built on a chip today. Feed it three light beams with ternary phases. The light itself does the sorting. Every valid pattern exits through one predictable port. Every invalid pattern spreads evenly over all ports. One device, one pass, no computation required. The paper proves this works only with three levels. With any other number of levels, the sorting breaks.
Second: simple networks of ternary elements have exact, predictable behaviour. Take two rings of ternary elements that read each other. They synchronise on chain lengths of 3, 9, 27, 81 — and on no other length. This is not a simulation result. It is a proven law, checked exhaustively on tens of millions of cases. Known behaviour means predictable products.
The tritter acts as a hardware building block. It checks a ternary condition at the speed of light, without a processor. Possible uses:
Each use replaces many electronic steps with one passive optical step.
Businesses already use optical “Ising machines”. These are specialised systems that solve hard optimisation problems — logistics, scheduling, chip design. They work with two phases, matching the binary Ising model.
This paper shows the ternary route. With three stable phases you get a Potts machine. That is the more general model. It handles problems with three or more natural states per variable. Think of scheduling with shifts, routing with priorities, or clustering with graded categories.
The paper adds a design warning that saves money. Such machines need millions of oscillators. On a chip, that does not fit. The arithmetic is simple. One million slow resonators need 750 to 15,000 cm² of silicon. A complete wafer offers 707 cm². The solution is a fibre loop: one loop of fibre, time-multiplexed, carries over 100,000 oscillators today and scales by length, not by area. This single insight redirects an entire design strategy.
Three-phase encoding gives three distinct, robust reference states instead of two. That opens:
A macro-scale tritter — mirrors, phase plates, a laser pointer — shows the sorting effect live on a desk. For a foundry, a university, or a trade fair, that is a powerful story.
The Twente ecosystem — New Origin, its backers, and the University of Twente — is currently about manufacturing capacity. Make more chips. Make them cheaper. Make them for others. That is a sound and necessary strategy.
This paper adds a product and architecture layer on top of that capacity.
| Twente’s current plans | What this paper adds |
|---|---|
| Manufacturing capacity for silicon nitride chips | A specific computing architecture that needs that platform |
| Open foundry access for external designers | Four concrete test designs any MPW customer can submit (Section 5.3 below) |
| Component-level quality: low loss, high stability | A proved mathematical layer: what the components can and cannot compute |
| Scaling by area: more chips per wafer | Scaling by time: fibre loops when area runs out |
| Binary optical computing (Ising machines) | The ternary, more general Potts-class route |
In short: the factory provides the road. This paper provides the destination and the map.
The competitive value is clear. Anyone can buy wafer capacity. Not everyone has a proved, tested design language for what to put on those wafers. A team that combines the two — exact ternary designs plus Enschede fabrication — holds something competitors cannot copy with money alone.
The paper proposes four structures that fit on one shared prototype die. That keeps the entry cost near the price of a single multi-project wafer slot.
Each test has a sharp predicted outcome. None is expensive. All can run through the foundry that opens in 2027. For an investor, this is a de-risked first milestone.
A good business case names its constraints. Three are stated openly in the paper.
None of these limits threatens the mathematics. They define the engineering roadmap.
The factory in Enschede gives the Netherlands a rare asset: industrial, open-access photonic fabrication. This paper shows what to do with it. It proves that the number three is not an arbitrary choice. Three-level light gives a passive one-pass reader, exact synchronisation laws, and a clean scaling strategy via fibre loops. It supplies ready-made test designs, a clear cost argument, and a stated set of open engineering problems.
The innovative value is not the wafer. It is knowing, with proof, what to put on it.
J.Konstapel,19-10-2026.
Aanleiding: Populisme-expert Scheppele: ‘Hongarije laat zien hoe je van een autocraat afkomt’, FD, 19 oktober 2026.
Op 12 april 2026 verloor Viktor Orbán de verkiezingen. Na zestien jaar. Péter Magyar en zijn partij Tisza kregen 53 procent van de stemmen en 141 van de 199 zetels. Dat is ruim boven de tweederdemeerderheid van 133. De opkomst was 79 procent, een record.
Princeton-hoogleraar Kim Lane Scheppele kent Hongarije als weinig anderen. Ze trekt in het FD een les voor de rest van de wereld. Smeed een brede coalitie. Zet democratie en corruptie centraal. Negeer de peilingen. Maak vaart, want de oude macht zit nog in de instituties. Breek desnoods de wet om de rechtsstaat te herstellen. Draai als EU de geldkraan dicht. En bouw op vrijwilligers: Magyar liet meer dan 2.500 groepen ontstaan, en die blijven.
Het is een helder verhaal. Wie de claims één voor één naast de bronnen legt, ziet dat het grootste deel klopt. Maar de dragende delen staan op minder vaste grond dan het lijkt.
De Hongaarse feiten staan. De uitslag is definitief sinds 1 mei. De nieuwe anticorruptieautoriteit legt verantwoording af aan het parlement, niet aan de premier. De nieuwe grondwet beperkt het premierschap tot acht jaar, ook voor Magyar zelf. Orbán is 63. Fidesz staat in september op 22 à 23 procent van de bevolking, iets hoger dan de 20 procent uit het interview, en licht stijgend.
Ook het beeld van het Orbán-tijdperk klopt. Het Europees Parlement noemde Hongarije in 2022 een hybride regime van electorale autocratie. Dictatuur is een stap verder dan de bronnen gaan, maar de richting is juist.
Drie dragende claims houden geen stand.
Er werd geen wet gebroken. Scheppele zegt dat Magyar de wet moest overtreden om president Sulyok af te zetten. Dat gebeurde niet. Het parlement nam op 13 juli een grondwetswijziging aan, met 139 stemmen voor en 6 tegen. Fidesz deed niet mee. Het was een rechtmatige wijziging met een tweederdemeerderheid. Precies het instrument waarmee Orbán zijn eigen staat had gebouwd.
Elders werd geen traditionele campagne gevoerd. Scheppele stelt dat centrumpolitici in de Verenigde Staten, Brazilië en Polen een gewone links-rechtscampagne voerden. Biden voerde campagne op “de ziel van de natie”. Lula smeedde in 2022 een breed front voor de democratie, met acht oud-presidentskandidaten. Tusk zette de rechtsstaat en corruptie centraal. Ze deden wat Scheppele aanbeveelt. Lula en Tusk wonnen, maar hun opvolgers of tegenstanders staan opnieuw op de drempel. In Brazilië won Flávio Bolsonaro op 4 oktober de eerste ronde. In Polen won Nawrocki in 2025 het presidentschap.
Orbáns mensen schreven niet aan Project 2025. Op de partnerlijst van de Heritage Foundation staan 101 organisaties. Geen ervan is Hongaars. Er is wel een samenwerking tussen Heritage en het door de Hongaarse staat gefinancierde Danube Institute. Nabijheid is iets anders dan schrijverschap.
Twee claims zijn geen feit maar een lezing.
De geldkraan. De EU bevroor in december 2022 6,3 miljard euro voor Hongarije en hield ook Poolse fondsen vast. Bij de volgende verkiezingen viel in beide landen de regering. Daaruit volgt nog niet dat het geld de doorslag gaf. Het zijn twee gevallen. Hongaren noemden zelf vooral corruptie en de kosten van levensonderhoud. Van de 16,4 miljard die Magyar in mei werd toegezegd, is op 13 oktober 4,2 miljard vrijgegeven. Uitbetaald is nog niets.
De terugkeer van de autocraat. Volgens Scheppele verankert een autocraat zich, loopt de opvolger vast, raakt de kiezer gefrustreerd en keert de autocraat terug. Polen past in dat patroon. De vraag is waarom Hongarije er niet in past, terwijl Orbán zich dieper had verankerd dan wie ook.
Hier helpt een eenvoudig beeld. Een samenleving is een visnet onder spanning. De knopen zijn mensen, families, dorpen, bedrijven. De mazen zijn de verbindingen tussen hen. Wat trekt, verdeelt zich over de mazen. Waar een maas open blijft, hoopt de spanning zich op.
Een democratie is in dit beeld geen machine die de waarheid vindt. Het is een stelsel van kleppen waarlangs spanning kan wegvloeien. Een verkiezing is zo’n klep. Ze gaat open op een vast moment, niet op het moment dat de druk het hoogst is.
Vanuit dat beeld lopen er vijf lijnen door Hongarije.
Zestien jaar lang had de spanning in Hongarije geen uitweg. De pers, de rechters, de rekenkamer en het kiesstelsel waren dichtgezet. Wat overbleef was één klep op een vaste datum. In april 2026 ging die open, en alles wat zich had opgehoopt ging er tegelijk doorheen.
Dat past beter bij de omvang van de uitslag dan een slimme campagne. Een brede coalitie paste op dat moment, omdat er maar één uitweg was. Wie de uitslag aan de strategie toeschrijft, verwart de klep met de druk.
Wie dit wil nagaan, kijkt naar de peilingen van 2022 tot maart 2026. Vóór een omslag worden de schommelingen groter en trager. Dat is in veel systemen gezien, van meren tot financiële markten.
Magyar heeft 141 zetels. Daarmee kan hij de grondwet alleen wijzigen. Hij doet dat ook. Maar dat is hetzelfde adres dat Fidesz gebruikte. Een wijziging die alleen door de eigen fractie wordt gedragen, staat tegenover de vorige als plus tegenover min. Er zit geen nul tussen, geen plek waar beide kanten elkaar raken.
Snelheid verandert daar niets aan. Wat blijft, is wat een ander mee afmaakt.
Dat geeft twee dingen om te volgen tot 2030. Per grote wet het aandeel ja-stemmen van buiten Tisza. En per verkiezingsbelofte, na een jaar en na twee jaar: geleverd, verlaten met uitleg, of stil vervangen. De stil vervangen beloften zijn het verwachtingsgat. Daar vindt een terugkeer zijn weg, niet in de fouten zelf.
De nieuwe anticorruptieautoriteit legt verantwoording af aan het parlement. Scheppele leest dat als macht uit handen geven. Maar in een kamer waarin één partij 141 van de 199 zetels heeft, is het parlement de fractie. Kamerleden zijn vrij van hun kiezers, maar zelden van hun partij.
Echt weggeven vraagt een eigen poort. Een benoeming die stemmen van buiten de eigen partij nodig heeft. Of zaken tegen mensen uit de eigen kring die daadwerkelijk tot vervolging leiden. Over twee jaar is te zien of dat gebeurt.
Mensen ruilen geld tegen geld zonder moeite. Maar wie een prijs zet op wat niet te koop is, krijgt geen berekening terug. Hij krijgt verontwaardiging. Orbán begreep dat. Zijn antwoord op de bevriezing was steeds: ze mogen ons niet omdat we onafhankelijk zijn.
Geld afknijpen werkt dus binnen de wereld van geld. Het raakt niet aan wat mensen samen delen of om beurten geven. Daarom kan dezelfde maatregel kiezers naar Brussel duwen of er juist van wegdrijven. Het hangt af van de vraag of mensen het lezen als een rekening of als een vernedering.
Orbán hoeft niet te wachten op fouten. Spanning zoekt de zwakste open maas. In Hongarije ligt die tussen Donau en Tisza, op de zandrug van de Grote Laagvlakte. Bij Kiskunmajsa zakte het grondwater in één jaar van 6,5 naar 8 meter. Veel boeren verloren in 2026 meer dan de helft van hun oogst. Hier valt de droogte samen met een platteland dat Fidesz lang als zijn eigen terrein zag.
Als de nieuwe regering de boeren compenseert, koopt ze hetzelfde slechte jaar opnieuw. Als ze water bergt, sluit ze de maas. Het verschil wordt zichtbaar in de uitslagen van 2030. Hier staan niet alleen grondwaterstanden op het spel, maar ook de vraag of jonge mensen in Kiskunmajsa blijven wonen.
Scheppele ziet in de vrijwilligersgroepen van Magyar het begin van een blijvend maatschappelijk middenveld. Het getal klopt. Maar de groepen leverden de kandidaten niet zelf. De partijleiding koos per district drie namen voor, waarna de groepen er één uit mochten schrappen. Ze filterden.
Groepen die op één doel waren gericht, vallen na dat doel vaak uiteen. Dat is een bekend patroon, van de burgerrechtenbeweging tot de Poolse Solidariteit. Wat blijft, zijn de groepen die een eigen taak krijgen: het water in het dorp, de zorg voor ouderen, de school. De vrijwilligers die in de zomer van 2026 met planken de kanalen van de laagvlakte afsloten, deden dat al.
De gemeenteraadsverkiezingen van 2029 laten het zien. Hoeveel lokale lijsten komen er uit deze groepen voort? En noemen ze een eigen taak, of alleen een naam?
Hongarije laat niet zien hoe je met een slimme campagne een autocraat verslaat. Het laat zien wat er gebeurt als een samenleving zestien jaar maar één klep heeft. De druk gaat er in één keer doorheen.
De vraag voor Magyar is niet hoe snel hij hervormt. De vraag is hoeveel van wat hij bouwt door anderen wordt afgemaakt. Door Kamerleden van buiten zijn partij. Door gemeenten. Door de groepen die nu een taak zoeken. En door de mensen op de zandrug, als daar het water terugkomt.
Wat alleen door de eigen kring gedragen wordt, kan door de volgende kring worden afgebroken. Dat geldt voor Orbán. Het geldt ook voor wie hem opvolgt.
1. Kabel, D. (2026). “Populisme-expert Scheppele: ‘Hongarije laat zien hoe je van een autocraat afkomt'”. Het Financieele Dagblad, 19 oktober 2026. Waarom lezen? De aanleiding: de les zoals die nu in Europa en de VS wordt gelezen. Leesadvies: Lees de passages over de wetsbreuk en de geldkraan naast referentie 4 en 6.
2. Nemzeti Választási Iroda (2026). Officiële uitslag van de parlementsverkiezing van 12 april 2026. valasztas.hu. Waarom lezen? De definitieve cijfers: Tisza 141, Fidesz-KDNP 52, Mi Hazánk 6. Leesadvies: Gebruik de uitslag per district om de zandrug van Bács-Kiskun en Csongrád-Csanád te volgen. Voorlopige tellingen, zoals de 138 zetels die nog rondgaan, zijn achterhaald.
3. Telex (2026). Verslag van de voorzitter van het Nationaal Kiesbureau aan het parlement, 6 mei 2026. Waarom lezen? De recordopkomst van 78,99 procent en het aantal kiezers per stemkanaal.
4. Hongaarse parlement (2026). Zestiende en zeventiende grondwetswijziging, 15 juni en 13 juli 2026. parlament.hu. Waarom lezen? Het juridische antwoord op de vraag of Magyar de wet brak. Leesadvies: Kijk naar de stemverhoudingen. Fidesz stemde niet, de wijzigingen kwamen dus van één kant.
5. Venetië-Commissie, Raad van Europa. Advies 1287/2026 over de zeventiende grondwetswijziging. Gepland voor december 2026. Waarom lezen? Het eerste onafhankelijke Europese oordeel over de afzetting van de president. Nog niet verschenen.
6. Scheppele, K. L. (2018). “Autocratic Legalism”. University of Chicago Law Review 85(2), 545–583. Waarom lezen? De beste beschrijving van hoe Orbán zijn macht via de wet vastlegde, door Scheppele zelf. Leesadvies: Lees het als waarschuwing die ook voor Magyars tweederdemeerderheid geldt. Het argument werkt in beide richtingen.
7. Levitsky, S. & Ziblatt, D. (2018). How Democracies Die. New York: Crown. Waarom lezen? Over terughoudendheid: een democratie leeft van wat partijen kunnen maar niet doen. Leesadvies: Hoofdstuk 6 over ongeschreven regels.
8. Raad van de Europese Unie (2022, 2026). Besluiten over het conditionaliteitsmechanisme voor Hongarije, 16 december 2022 en 13 oktober 2026. Waarom lezen? Hoeveel geld werd bevroren, en hoeveel tot nu toe vrijkwam. Leesadvies: Onderscheid toegezegd, vrijgegeven en betaald. Die drie worden in de pers vaak verward.
9. Fiske, A. P. & Tetlock, P. E. (1997). “Taboo trade-offs: reactions to transactions that transgress the spheres of justice”. Political Psychology 18(2), 255–297. Waarom lezen? Waarom mensen woedend worden als iemand een prijs zet op wat niet te koop is. Leesadvies: De inleiding en de experimenten over heilige waarden volstaan.
10. Folsz, A. (2026). Over de Tisza-groepen. Journal of Democracy, juli 2026. Waarom lezen? De bron van het getal van meer dan 2.500 groepen, en van de manier waarop kandidaten werden gekozen.
11. Skocpol, T. (2003). Diminished Democracy: From Membership to Management in American Civic Life. Norman: University of Oklahoma Press. Waarom lezen? Waarom verenigingen met een lokale taak blijven en campagneorganisaties verdwijnen.
12. Ostrom, E. (1990). Governing the Commons. Cambridge: Cambridge University Press. Waarom lezen? Hoe gemeenschappen gedeelde hulpbronnen, zoals water, zelf beheren zonder staat of markt. Leesadvies: Hoofdstuk 3 over irrigatiesystemen past direct op de Hongaarse laagvlakte.
13. Achen, C. H. & Bartels, L. M. (2016). Democracy for Realists. Princeton: Princeton University Press. Waarom lezen? Kiezers straffen regeringen af voor droogte en overstromingen, ook als die er niets aan kunnen doen. Leesadvies: Hoofdstuk 5. Lees het naast de grondwaterstanden van de zandrug.
14. V-Dem Institute (2026). Democracy Report 2026. Göteborg. Waarom lezen? Hoeveel landen na een autoritaire periode werkelijk herstellen. Leesadvies: Het deel over herstel na autocratisering.
15. Konstapel, J. (2026). Where Democracy Discharges. Constable Research, Leiden, augustus 2026. Waarom lezen? De democratie als stelsel van kleppen voor spanning, uitgewerkt aan burgerberaden. Leesadvies: De paragrafen over de verkiezing als klep en de ontwerpvoorwaarden.
16. Konstapel, J. (2026). Hungary Is Not Short of Water. constable.blog, 19 augustus 2026. Waarom lezen? De droogte op de Hongaarse laagvlakte als bergingsprobleem, niet als regenprobleem.
17. Konstapel, J. (2026). Democratie in Vrije Val. constable.blog, 3 oktober 2026. Waarom lezen? Het dilemma van Magyar en Tusk: hoe herstel je een rechtsstaat met de middelen die hem afbraken?
J.Konstapel, Leiden,19-10-2026.

Er zijn vele vormen van energie.
Op dit moment wordt vooral gewerkt met verbrandingsenergie, waarbij bijvoorbeeld een stoommachine wordt aangedreven en een magneet ronddraait. Een draaiende magneet is elektriciteit.
Het concept van de stoommachine wordt eindeloos herhaald, telkens onder andere namen. Een kernreactor is in feite ook een stoommachine, maar dat geldt ook voor de pc en zelfs voor ons eigen lichaam. Het Engelse woord is heat engine.
Het nadeel van al deze systemen is dat er enorm veel effectieve energie, in de vorm van beweging, verloren gaat in de vorm van warmte. Warmte is ongerichte energie.
Er zijn vele alternatieven om energie op te wekken. Ze zijn allemaal bezig met het omzetten van het ene in het andere. Maar datgene waaruit de energie voortkomt, moet ergens vandaan komen. In natuurkundige termen komen we dan uit bij het vacuüm.
Het vacuüm is een vorm van niets die eigenlijk letterlijk barst van de energie.
Over de hele wereld, ook in Nederland, zijn wetenschappers, onderzoeksinstellingen en bedrijven bezig om deze zogenaamde zero-point energy te ontdekken.
In het algemeen wordt de ontdekking hiervan toegeschreven aan Casimir, die werkzaam was bij het Philips Natuurkundig Laboratorium (NatLab).

Kondratief ontdekte een economische cyclus met een periode van ongeveer vijftig jaar,
Ik ontdekte dat de factor 5 (= 3 + 2) alle cycli met elkaar verbindt: de vijf stappen corresponderen met de vijf combinaties (1 + 4 = 2 × 2) die passen binnen Agency en Communion, met de eenheid (Quintessence) als middelpunt.

Rond 1740 koos het Europese vasteland massaal voor Leibniz. Leonhard Euler paste zijn calculus toe om fundamentele natuurwetten te formuleren, zoals de bewegingsvergelijkingen voor vloeistoffen en starre lichamen.
We zitten nu in de integratie van alle integraties Global Brain, die zowel slaat op AI als op het integrerende collectieve bewustzijn.
De leiders van natuurkunde-gemeenschap hebben een aantal keuzes gemaakt, die dit vakgebied heel complex hebben gemaakt.
De belangrijkste is een ingreep in de theorie van Clerk Maxwell.
Hij werkte met een beroemde experimentator JMichael Faraday.

Originele tekening van Michael Faraday.
Op dit originele plaatje is de theorie van Maxwell perfect te zien, 2 in elkaar gesloten rotaties.
Dit is ook de basis van mijn Vacuum.net theorie.


De Vaccum.net-theorie is een herschrijving van de oorspronkelijke theorie van Clerk Maxwell, die later door Heaviside werd aangepast, waarbij alle intrinsieke rotaties werden verwijderd en de theorie volledig in vectoren (->) werd vertaald, waardoor men min of meer gedwongen wordt te geloven in een absoluut begin, terwijl deze re-engineering volgens de theorie zowel het Casimir-effect verklaart als de mogelijkheid van energie uit het niets.
Leiden werd met veel tromgeroffel City of`Science in 2022.
Ik kreeg toen de sterke indruk, dat je zo’n titel kunt “kopen” en nu komt Limburg met een vergelijkbare claim en is het patroon dankzij Claude duidelijk.
Als je kiest voor een slimme marketing-methode om jouw stad, regio of provincie te promoten moet je de boodschap wel waarmaken.
Mijn onderzoek toont aan dat dat Limburg helemaal niet slim is.
Ze zijn er gewoon ingestonken.

J.Komstapel,Leiden, 18-10-2026.
Aanleiding: Limburg kandidaat “Slimste regio van de wereld”
Hoe je de prijs kunt kopen : Intelligent Community Awards Program®
Op 15 oktober 2026 kreeg Limburg de titel Intelligent Community of the Year 2026. De prijs komt van het Intelligent Community Forum (ICF) uit New York [1]. De NOS bracht het een dag later als “slimste regio ter wereld” [2].
Twee vragen liggen voor de hand. Waarom Limburg? En waarom niet een andere regio in Nederland of de wereld?
Dit verslag zoekt het antwoord in openbare bronnen. Elke bewering heeft een bronnummer. Wat niet te vinden was, staat apart vermeld.
ICF beschrijft de procedure zelf [4]:
Lidmaatschap kost een publiek-private regio met meer dan 500.000 inwoners $5.000 per jaar [5].
Gevolg. Alleen wie zich aanmeldt, doet mee. In 2026 waren dat zeven regio’s: Assaí (Brazilië), Bursa (Turkije), Hilliard (Ohio), Kingston (Canada), Las Rozas de Madrid, Yunlin County (Taiwan) en Brightlands-Limburg [7].
Eindhoven, Amsterdam, München, Boston of Shenzhen deden niet mee. Er is dus geen vergelijking met die regio’s gemaakt. “Slimste regio ter wereld” is de vertaling van de media, niet de claim van ICF [1][2].
De enige openbare motivering staat in het persbericht van ICF [1]. Robert Bell prijst de samenwerking tussen overheid, bedrijven en kennisinstellingen. Het bericht noemt de geschiedenis van DSM, het einde van de mijnen na de gasvondst van 1959 en het herstel van lokale trots.
Wat ontbreekt:
Daarmee is niet na te gaan waarom Limburg hoger eindigde dan Hilliard of Kingston.
Correctie op een eerder verspreide lezing. Het ICF-persbericht noemt de Einstein Telescope en de Brightlands Startup League niet [1]. De NOS ook niet [2]. Alleen IO+ schrijft dat Limburg mede daardoor hoog scoorde [3]. Dat is de formulering van IO+, niet van de jury.
ICF noemt op zijn website één jurylid bij naam: de voorzitter, Moez Chaabouni [6]. Hij was plaatsvervangend CIO van Columbus, Ohio, de winnaar van 2015. Nu werkt hij bij het softwarebedrijf Informatica.
De overige juryleden worden beschreven als “bestuurders van eerdere winnaars en deskundigen uit overheid, bedrijfsleven en wetenschap” [6]. Namen, aantal en selectiewijze staan er niet bij.
Een tweede jurylid is bekend via een andere bron. Doug McCollough is directeur van het ICF-instituut in Dublin, Ohio. Hij is jurylid en heeft Top7-regio’s geaudit [14].
De jury bezoekt de regio’s niet. Ze leest het auditrapport en de vragenlijst [6]. De audit in Limburg deed medeoprichter Robert Bell zelf [1].
Wat samenkomt in de regio Columbus, Ohio:
ICF heeft twee rechtsvormen.
Intelligent Community Forum L.P. is een commanditaire vennootschap in New York [13]. Zij bezit de merken van de prijzen, zoals Intelligent Community of the Year, Top7 en Smart21. Wie de vennoten zijn, is niet openbaar.
Intelligent Community Forum Foundation Inc. is een kleine Amerikaanse stichting [11]. De inkomsten daalden van $79.500 in 2018 naar $7.041 in 2022. Tussen 2015 en 2019 kwam ongeveer 99% uit lidmaatschapsgelden [12]. Het bestuur bestaat uit de drie oprichters. Bell en Zacharilla ontvingen in 2019 elk $14.900 [11].
Het dagelijks beheer ligt bij de Intelligent Communities Group [8]. Dat is een handelsnaam van Alan/Anthony Inc., een commercieel bureau dat brancheverenigingen beheert [9].
De oprichters:
Limburg was dus lid, gastheer en deelnemer tegelijk.
Kosten. De mededeling aan de Staten over het gastheerschap noemt geen bedragen [18]. Een eerdere mededeling van 19 maart 2025 is niet online te vinden. Geen enkele bron noemt wat lidmaatschap, conferentie en audit hebben gekost.
Pers. Er is geen kritisch artikel over de prijs gevonden, ook niet in L1, De Limburger, Follow the Money of NRC. Er zijn geen Statenvragen over gevonden.
De prijs rust op het beeld van een slimme regio. De onderdelen van dat beeld zijn wel te controleren.
De tellingen van Brightlands lopen uiteen. De eigen site meldt 620 bedrijven, 16.740 banen en 16.300 studenten [22]. IO+ noemt 32.000 ondernemers, onderzoekers en studenten [3]. Wat de campussen hebben terugverdiend, staat in geen van beide.
De Zuidelijke Rekenkamer onderzocht in 2024 ongeveer €190 miljoen aan extra provinciale bijdragen: Greenport Venlo, Mijnwater en Maastricht Aachen Airport [23]. Bevindingen: geen exitstrategie, onduidelijk toezicht, gaten in de informatie.
Chemelot staat voor ongeveer 14% van de Nederlandse chemie, €8 miljard omzet en 8.000 directe banen [27]. In 2026:
In juli 2026 sloten kabinet, Provincie en Chemelot een clusterplan met twaalf projecten, goed voor €1,6–1,7 miljard private investering [27][28]. Ongeveer 90% daarvan zit in drie projecten, waaronder FUREC.
De bouwkosten verschillen per bron: €600 miljoen volgens RWE in 2023 [33], ongeveer €1 miljard volgens Argos in 2026 [35].
Het provinciale LINK-programma richtte M4I en MERLN op in Maastricht. Het doel was acht spin-offs. Het resultaat was vier spin-offs en een licentiedeal [36].
De campagne “We zijn zelf het medicijn” werd geëvalueerd met 590 mensen vóór en 602 erna [41].
De telescoop was de reden om lid te worden van ICF [19].
Wat er staat, is de testfaciliteit ETpathfinder in Maastricht. In april 2026 is een uitbreiding van €52 miljoen aangekondigd [44].
In Zuid-Limburg vroegen bedrijven tussen 2013 en 2017 3.056 octrooifamilies aan [45]. SABIC (1.833) en DSM (866) samen: 2.699. Dat is 88%. Zonder de tien grootste aanvragers blijven er 357 over.
Telling naar vestigingsplaats van de aanvrager, niet naar woonplaats van de uitvinder [45].
De beslissingen over die kennis vallen elders: SABIC in Riyad, OCI bij Agrofert in Praag, RWE in Essen. Een provincie kan zulke bedrijven huisvesten. Vasthouden kan ze ze niet.
Het meeste provinciale geld ging naar grond, gebouwen en aandelen in campusvennootschappen [21]. Een campus verdient als huurder verdient. De enige campus die rendeert, Chemelot, ligt naast een industrieterrein dat er al was.
FUREC had subsidie, vergunning en locatie, maar geen koper [35]. ToxGen had subsidie en een kleine studie, maar geen gevalideerd product [38]. BReIN had €20 miljoen en een aankondiging [37]. Toen het geld stopte of terug moest, viel het project stil.
De campagne mat herkenning van boodschappen [41]. Brightlands meet bedrijven, banen en studenten op wisselende manieren [3][22]. Terugverdiend geld en gezondheidswinst komen in geen van de rapportages voor.
Wat zichzelf draagt, hangt niet aan de campusstructuur.
Geen van deze is de reden voor de prijs.
In Heerlen verwarmen de mijngangen waar de mannen ooit afdaalden nu ruim duizend woningen. In Geleen worden de fabrieken verkocht die de mijnen vervingen. In Heerlen-Noord, waar de mijnwerkers woonden, valt meer dan de helft van de huishoudens in de lage inkomensgroepen. Over hen gaat het verhaal van het herstel na de mijnen.
Een aantal cijfers dat in eerdere teksten circuleerde, is in de bronnen niet teruggevonden:
Ze zijn in dit verslag niet gebruikt.
De prijs gaat naar regio’s die zich aanmelden, lid worden, toezeggen naar de summit te komen en hun audit zelf betalen. In 2026 waren dat er zeven. Limburg was lid, gastheer en deelnemer tegelijk.
Het oordeel is niet na te rekenen. Scores, auditrapport, vragenlijst en jurylijst zijn niet openbaar. De auditor is een medeoprichter. De juryvoorzitter komt uit de regio waar de prijs werd uitgereikt.
Wat wel te controleren is, blijft grotendeels niet staan. De telescoop is er nog niet. Drie van de vier campussen draaien op provinciaal geld. Het chemiepark wordt verkocht. De waterstoffabriek heeft geen afnemer. De Alzheimer-initiatieven leverden geen openbaar resultaat. De preventiecampagne miste haar hoofddoel.
Wat Limburg overeind houdt, staat er zonder de structuur die de prijs eert.
De prijs beschrijft hoe Limburg zich presenteert. Hij beschrijft niet wat er staat.
Via de Wet open overheid (Woo) kan de Provincie Limburg worden gevraagd om:
Pas met die stukken is te beoordelen waarom Limburg won.
[1] ICF (2026). “Brightlands-Limburg Wins the 2026 Intelligent Community of the Year Award”, 15 oktober 2026. Waarom lezen? Het enige openbare verslag van de motivering. Leesadvies: let op wat er niet in staat — geen scores, geen telescoop. https://www.intelligentcommunity.org/brightlands-limburg_wins_the_2026_intelligent_community_of_the_year_award_from_the_intelligent_community_forum
[2] NOS (2026). “Limburg uitgeroepen tot slimste regio ter wereld”, 16 oktober 2026. Waarom lezen? Laat zien hoe de titel landelijk nieuws werd en zo werd vertaald. https://nos.nl/artikel/2635204-limburg-uitgeroepen-tot-slimste-regio-ter-wereld
[3] IO+ (2026). “Limburg named the world’s smartest region”, 16 oktober 2026. Waarom lezen? Bevat de investeringsbedragen, de €116 mln en €650 mln voor de Health Campus en de zin over Chemelot als enige zelfstandige campus. Leesadvies: onderscheid de eigen formulering van IO+ van die van ICF. https://ioplus.nl/en/posts/limburg-named-the-worlds-smartest-region
[4] ICF. “Awards — Compete”. Waarom lezen? De procedure in ICF’s eigen woorden: zelfnominatie, toezegging, audit op eigen kosten, middeling van scores. Leesadvies: de alinea’s over de Top7-evaluatie. https://www.intelligentcommunity.org/compete
[5] ICF. “Organizational Membership”. Waarom lezen? De lidmaatschapstarieven per regiogrootte. https://www.intelligentcommunity.org/organizational_membership
[6] ICF. “Jury”. Waarom lezen? Noemt alleen de voorzitter en beschrijft de rol van de jury. Leesadvies: vergelijk met wat er niet staat. https://www.intelligentcommunity.org/jury
[7] ICF (2026). “Intelligent Community Forum Names the Top7 Intelligent Communities of 2026”, 17 juni 2026. Waarom lezen? De zeven deelnemers, de gelijktijdige bekendmaking vanuit Maastricht en New York, en de datum van de summit in Columbus. https://www.intelligentcommunity.org/intelligent_community_forum_names_the_top7_intelligent_communities_of_2026
[8] ICF. “Privacy Policy”. Waarom lezen? Stelt dat ICF wordt beheerd door de Intelligent Communities Group. https://www.intelligentcommunity.org/privacy_policy
[9] Cisco Blogs. Auteurspagina Louis Zacharilla; ICF, biografie Louis Zacharilla. Waarom lezen? Zijn achtergrond in de reclame, zijn rol bij Alan/Anthony en zijn rol bij het ontstaan van de prijs. https://blogs.cisco.com/author/louiszacharilla https://www.intelligentcommunity.org/louis_zacharilla
[10] Satellite Markets (2025). “World Teleport Association Names Randall Barney Executive Director”. Waarom lezen? Dateert Bells vertrek als directeur en zijn verbintenis van bijna dertig jaar. https://www.satellitemarkets.com/executive-moves/world-teleport-association-names-randall-barney-executive-director
[11] ProPublica Nonprofit Explorer. Intelligent Community Forum Foundation Inc. (EIN 26-4215605). Waarom lezen? De belastingaangiften: inkomsten, bestuurders en vergoedingen per jaar. https://projects.propublica.org/nonprofits/organizations/264215605
[12] InfluenceWatch. “Intelligent Community Forum (ICF)”. Waarom lezen? Overzicht van inkomsten 2018–2022 en het aandeel lidmaatschapsgelden. https://www.influencewatch.org/nonprofit/intelligent-community-forum-icf/
[13] Justia Trademarks. Eigenaar: Intelligent Community Forum L.P. Waarom lezen? Toont de commerciële vennootschap en haar merken. https://trademarks.justia.com/owners/intelligent-community-forum-l-p-3149244
[14] City of Dublin, Ohio. Global Institute for the Study of the Intelligent Community. Waarom lezen? Het ICF-instituut in Ohio en de rol van McCollough als jurylid en auditor. https://www.econdev.dublinohiousa.gov/?p=22187
[15] City of Hilliard (2026). “Hilliard named to Top7 Intelligent Communities list for fourth consecutive year”. Waarom lezen? Laat zien dat dezelfde regio’s jaar na jaar terugkeren. https://hilliardohio.gov/?p=92170
[16] Durham Region (2025). “Durham Region named 2025 Intelligent Community of the Year”. Waarom lezen? Datum en plaats van de prijs van 2025. https://www.durham.ca/news/posts/durham-region-named-2025-intelligent-community-of-the-year/
[17] The Intelligent Community (podcast). “Who are the greatest intelligent communities? Reflections by ICF’s jurors and analysts”. Waarom lezen? Een van de weinige plekken waar juryleden en analisten bij naam optreden. https://podcastrex.com/shows/the-intelligent-community/who-are-the-greatest-intelligent-communities-part-1-of-reflections-by-icfs-jurors-and-analysts
[18] Provincie Limburg (2025). Statenmededeling over het co-hosten van de ICF Top7 Conference 2026, 4 juni 2025 (DOC-00789502). Waarom lezen? De overeenkomst van 26 mei 2025, de ondertekenaars en het ontbreken van bedragen. https://limburg.bestuurlijkeinformatie.nl/Document/View/218bc306-d030-44aa-bcb1-ccd2ecc9b865
[19] IO+ (2025). “Limburg kandidaat ‘Slimste regio van de wereld'”, 22 maart 2025. Waarom lezen? Het doel dat de Provincie vooraf noemde: een merk en de telescoop. https://ioplus.nl/nl/posts/limburg-kandidaat-slimste-regio-van-de-wereld
[20] ICT&health (2026). “Dutch Brightlands among the Smart21 Communities of 2026”. Waarom lezen? Dateert de tweede nominatie. https://www.icthealth.org/news/dutch-brightlands-among-the-smart21-communities-of-2026
[21] Griffie Provincie Limburg (2025). Analyse van de derde voortgangsrapportage Brightlands, 15 augustus 2025. Waarom lezen? De beste primaire bron: bedragen per campus, het oordeel dat alleen Chemelot zelfstandig is, leegstand en kritiek op governance. Leesadvies: de samenvatting en de tabel met bijdragen. https://limburg.bestuurlijkeinformatie.nl/Document/View/5f857a49-3ce2-4af9-aac1-a44a7d5ce432
[22] Brightlands. Kerncijfers. Waarom lezen? De eigen telling van bedrijven, banen en studenten per 1 januari 2026. https://www.brightlands.com
[23] Zuidelijke Rekenkamer (2024). Grip op investeringen. Waarom lezen? Onafhankelijk oordeel over €190 mln aan risicovolle provinciale investeringen. https://zuidelijkerekenkamer.nl/app/uploads/2023/05/20240410_RvB_investeringen_Limburg.pdf
[24] IO+. “Project Mijnwater voor warmte en koeling in Limburg fors uitgebreid”. Waarom lezen? De uitbreiding met geld van Enexis en de Provincie. https://ioplus.nl/archive/nl/project-mijnwater-voor-warmte-en-koeling-in-limburg-fors-uitgebreid/
[25] NPLW. “Heerlen bouwde het eerste warmte- en koude-uitwisselingsnet van Nederland”. Waarom lezen? Het actuele aantal aangesloten woningen en gebouwen. https://nplw.nl/praktijkvoorbeelden/heerlen-bouwde-het-eerste-warmte-en-koude-uitwisselingsnet-van-nederland
[26] Casestudy Heerlen (EU-programma, ongedateerd). Waarom lezen? Beschrijft de verliezen in het eerste decennium van Mijnwater. https://www.renewables-networking.eu/documents/CaseStudy-Heerlen-TheNetherlands.pdf
[27] Hbpmedia (2026). “Clusterplan Chemelot moet chemie verduurzamen en autonomie versterken”, 10 juli 2026. Waarom lezen? De twaalf projecten en de kerncijfers van het park. https://hbpmedia.nl/clusterplan-chemelot-moet-chemie-verduurzamen-en-autonomie-versterken/
[28] Kabinet (2026). Brief over het clusterplan Chemelot, 9 juli 2026. Waarom lezen? De officiële stand van zaken per bedrijf en wat het cluster vraagt. https://www.eerstekamer.nl/behandeling/20260709/brief_regering_clusterplan/document3/f=/vmzslhxlidz5.pdf
[29] NOS (2026). Bericht over de verkoop van SABIC Europa, 9 januari 2026. Waarom lezen? Aankondiging van de verkoop aan Aequita. https://nos.nl/l/2597464
[30] BCInsight (2026). “OCI to sell 50% of Geleen nitrogen arm to Agrofert in staged exit”, 3 juni 2026. Waarom lezen? De opbouw van de verkoop in twee stappen. https://www.bcinsight.crugroup.com/2026/06/03/oci-to-sell-50-of-geleen-nitrogen-arm-to-agrofert-in-staged-exit/
[31] Faillissementsdossier. Vynova Beek B.V. Waarom lezen? Datum van het faillissement en de curator. https://www.faillissementsdossier.nl/en/bankruptcy/1936341/vynova-beek-b-v.aspx
[32] Nieuws.nl (2025). “Chemieconcern sluit fabrieken op Chemelot, honderd banen weg”. Waarom lezen? Het sluitingsplan van Fibrant. https://nieuws.nl/economie/chemieconcern-sluit-fabrieken-op-chemelot-honderd-banen-weg
[33] RWE (2023). “EU Innovation Fund grants 108 million euros to RWE’s waste-to-hydrogen project FUREC”, 19 januari 2023. Waarom lezen? Het plan, de schaal en de EU-subsidie. https://www.rwe.com/en/press/rwe-generation/2023-01-19-eu-innovation-fund-grants-108-million-euros-to-rwes-waste-to-hydrogen-project-furec/
[34] Commissie m.e.r. “Waterstofproductie uit reststromen (FUREC), provincie Limburg”. Waarom lezen? De onafhankelijke toetsing van het milieueffectrapport, in drie adviezen. https://www.commissiemer.nl/advies/waterstofproductie-uit-reststromen-furec-provincie-limburg/
[35] Argos/VPRO (2026). “Inspectie stapt naar de rechter om bezwaar te maken tegen nieuwe fabriek op Chemelot”, 26 september 2026. Waarom lezen? Het beroep van de Inspectie, de terugbetaalde subsidie en het ontbreken van afnemers. Leesadvies: de passage over waarom de fabriek als afvalverbrander geldt. https://argos.vpro.nl/artikelen/inspectie-stapt-naar-de-rechter-om-bezwaar-te-maken-tegen-nieuwe-fabriek-op-chemelot
[36] MERLN (2022). LINK-slotmagazine. Waarom lezen? Doel en resultaat van de spin-offs naast elkaar. https://www.merlninstitute.com/images/news/News_LINK_closing/1257_merln_link_magazine_en.pdf
[37] IO+ (2019). “20 miljoen voor aanpak alzheimer via big data”. Waarom lezen? De aankondiging van BReIN, de partners en de doelen. https://ioplus.nl/archive/nl/20-miljoen-voor-aanpak-alzheimer-via-big-data/
[38] Tsamou, M. et al. (2023). Journal of Alzheimer’s Disease Reports 7(1). Waarom lezen? De studie achter de ToxGen-test. Leesadvies: de methoden — omvang van de groep en herhaling op dezelfde monsters. https://journals.sagepub.com/doi/10.3233/ADR-230001
[39] Alzheimer’s Drug Discovery Foundation. Portfolio: ToxGenSolutions. Waarom lezen? De subsidie en de looptijd. https://www.alzdiscovery.org/research-and-grants/portfolio-details/21276818
[40] Onderzoek met mensen. Registratie ROMEMA. Waarom lezen? Status, aantal deelnemers en het ontbreken van resultaten. https://onderzoekmetmensen.nl/en/node/54654
[41] Tijdschrift voor Gezondheidswetenschappen. Evaluatie van de campagne “We zijn zelf het medicijn”. Waarom lezen? De voor- en nameting, de primaire uitkomst en de subgroepen. Leesadvies: de resultatensectie en figuur 1. https://tvgg.nl/article/download/14386/15882/31318
[42] Rijksoverheid (2026). “Ministerraad benoemt speciaal gezant Einstein Telescope”, 24 april 2026. Waarom lezen? De stand van de kandidatuur, de bedragen en de tijdlijn. https://www.rijksoverheid.nl/actueel/nieuws/2026/04/24/ministerraad-benoemt-speciaal-gezant-einstein-telescope
[43] Einstein Telescope EMR. Veelgestelde vragen. Waarom lezen? De bijdragen van Nederland, Vlaanderen en Wallonië op een rij. https://www.einsteintelescope-emr.eu/en/frequently-asked-questions/
[44] IO+ (2026). “ETpathfinder becomes permanent European research center”. Waarom lezen? Wat er feitelijk in Maastricht staat en wordt uitgebreid. https://ioplus.nl/en/posts/etpathfinder-becomes-permanent-european-research-center
[45] Octrooicentrum Nederland. Octrooien in Nederland (2013–2017). Waarom lezen? De octrooibasis per regio en de grootste aanvragers. Leesadvies: de toelichting op de telling naar vestigingsplaats. https://www.octrooicentrum.nl/sites/default/files/2025-12/Octrooien_in_Nederland_rapport.pdf
[46] Canon Production Printing. Corporate information, Netherlands. Waarom lezen? Omvang en activiteiten van de vestiging in Venlo. https://cpp.canon/about/corporate-information/worldwide/netherlands/
[47] DutchNews (2025). “Defence firms to set up production in former NedCar factory”. Waarom lezen? De omvorming van autofabriek tot defensiecluster. https://www.dutchnews.nl/2025/10/defence-firms-to-set-up-production-in-former-nedcar-factory/
[48] Green Queen (2025). Over de financiering en toelating van Mosa Meat. Waarom lezen? Het opgehaalde kapitaal en de stand van de toelatingsdossiers. https://www.greenqueen.com.hk/mosa-meat-lab-grown-meat-cultivated-beef-costs-funding/
[49] UWV. Regionale arbeidsmarktprognose Zuid-Limburg 2026–2028. Waarom lezen? De banenprognose en de scenario’s. Leesadvies: tabel 1. https://www.uwv.nl/assets-kai/files/ea902310-a217-4a0e-81d0-bea08946cfb5/zuid-limburg-regionale-arbeidsmarktprognose-2026-2028.pdf
[50] Antwoord van minister Herbert op Kamervragen over werkgelegenheid in Limburg, 8 juli 2026. Waarom lezen? Wat het kabinet wel en niet erkent. https://zoek.officielebekendmakingen.nl/ah-1261970.pdf
[51] Alle Cijfers. Provincie Limburg. Waarom lezen? Het actuele inwonertal. https://allecijfers.nl/provincie/limburg/
[52] ABF/BZK. Woningmarktprognose (Primos 2025). Waarom lezen? De verwachte krimp per woningmarktregio. https://zoek.officielebekendmakingen.nl/blg-1207112.pdf
[53] Maastricht University (2023). Advies Sociale Agenda Limburg. Waarom lezen? De evaluatie van de beoogde trendbreuk in gezondheid. https://www.maastrichtuniversity.nl/sites/default/files/2023-03/advies_sal_final.pdf
[54] Nationaal Programma Heerlen-Noord. Notitie aan de Tweede Kamer, september 2023. Waarom lezen? Inkomen en energiearmoede in de armste wijk van de regio. https://app.1848.nl/static/pdf/0f/6b/0f6b43cc01da9976f44a6ed03edb2a7c15a110f5.pdf
J. Konstapel, Constable Research, Leiden
© 2026 J. Konstapel, Constable Research, Leiden. All rights reserved. Quotation with attribution is permitted; reproduction of the whole requires written permission.
Versie 1 — 18 oktober 2026
In 2022 was Leiden “European City of Science”. Het jaar kende een congres, een festival en 365 dagen programma.
Dit verslag zet op een rij hoe de titel werd verkregen, wie de touwtjes in handen had, wat het kostte, wat vooraf werd beloofd en wat er werkelijk is gemeten.
Elke bewering heeft een bronnummer. Wat niet openbaar is, staat apart vermeld.
De titel kwam van EuroScience, een vereniging die in 1997 in Straatsburg werd opgericht [1]. EuroScience organiseerde om de twee jaar het congres ESOF (EuroScience Open Forum). De stad die het congres binnenhaalde, kreeg de titel erbij [2].
De keuze lag bij een ESOF-bestuur dat EuroScience “met vijf partners” instelde [2]. Wie die partners waren, is niet gepubliceerd. Voorzitter was Gail Cardew, destijds directeur wetenschap en educatie van de Royal Institution in Londen [3].
EuroScience had een kleine ledenbasis en dreef vooral op EU-geld [4]. Een ESOF kostte ongeveer €4 miljoen. De Europese Commissie betaalde daarvan zo’n €1 miljoen; de rest kwam van de gaststad, sponsors en regionale subsidies [4].
Op 29 juni 2017 presenteerde een Leidse delegatie het bod [5]. Het ging om de editie van 2020.
Het bod kwam van vier partijen [5][6]:
De lokale boegbeelden waren de hoogleraren Corinne Hofman en Ferry Breedveld [5].
Het ESOF-bestuur ontving twee volledige biedingen, beide voor 2020: Trieste en Leiden/Den Haag [7].
Trieste kreeg 2020. In hetzelfde besluit kreeg Leiden/Den Haag de editie van 2022, “om beide biedingen te eren” [8]. Het bestuur noemde de kandidaten “gelijkwaardig” en wilde “beide steden erkennen als European City of Science” [5].
Leiden kreeg 2022 dus zonder nieuwe ronde en zonder concurrentie.
Den Haag zat in het bod. In de uitvoering komt de stad niet meer voor:
Waarom Den Haag verdween, staat in geen openbare bron.
| Rol | Wie | Bron |
|---|---|---|
| Titelgever | EuroScience, ESOF-bestuur (voorzitter Gail Cardew) | [2][3] |
| Indieners bod | Universiteit Leiden, gemeente Leiden, Leiden Marketing, Haags congresbureau | [5][6] |
| Boegbeelden | prof. Corinne Hofman, prof. Ferry Breedveld | [5] |
| Uitvoerder | Stichting Leiden European City of Science 2022, opgericht 3 april 2020 | [10] |
| Oprichters stichting | gemeente Leiden, Universiteit Leiden, LUMC, Hogeschool Leiden | [10] |
| Raad van toezicht (2021) | burgemeester Henri Lenferink; Annetje Ottow (Universiteit, na Carel Stolker); Kim Smit (LUMC); Joeri van den Steenhoven (Hogeschool); Joost Scholten (bedrijfsleven) | [10] |
| Dagelijkse leiding | directeur Meta Knol; intendant Lucien Geelhoed | [10] |
| Inhoud programma | intendant Geelhoed, via de “Playbooks” I en II | [10][12] |
| Inhoud congres | Executive Board (Leiden2022, EuroScience, Hofman en Breedveld), voorzitter Breedveld | [11] |
| Marketing en ontvangst | Leiden Marketing, tegen kostprijs | [10] |
Waar de beslissingen lagen. De raad van toezicht kon besluiten van de Executive Board terugdraaien op financiële gronden of om risico’s, maar had geen zeggenschap over de inhoud [11]. De inhoud van het jaarprogramma lag bij de intendant. De 365 dagthema’s werden gekozen uit ingezonden ideeën en lagen vast op 1 augustus 2021 [10].
Erkenning achteraf. De directeur van Leiden Marketing, Martijn Bulthuis, werd in december 2019 uitgeroepen tot “machtigste Leidenaar”. Het binnenhalen van ESOF werd daarbij uitdrukkelijk genoemd [13].
Contracten met EuroScience. Leiden2022 sloot drie contracten: een memorandum (21 juli 2020), een licentie op het merk (2 november 2020) en een congrescontract (5 juli 2021) [10]. De bedragen zijn niet openbaar.
De meerjarenbegroting 2020–2023 was €8,3 miljoen. Eind 2021 werd ze bijgesteld naar €7,5 miljoen [10].
| Bron | Bedrag | Bron |
|---|---|---|
| EU, project ECS/ESOF | €2.000.000 (totale projectkosten €3.709.149) | [14] |
| EU, project EUCYS 2022 | €2.000.000 | [15] |
| Oprichters samen | €1.200.000 | [10] |
| Gemeente Leiden extra, Kennis door de Wijken | ±€200.000 (“2 ton”) | [10] |
| Ministerie van OCW | ±€500.000 (“5 ton”), plus €217.000, plus €210.000 via Naturalis | [10] |
| Provincie Zuid-Holland | maximaal €250.000 | [16] |
| Rabobank, NWO, Energiepark Leiden | €58.650 | [10] |
| Totaal aantoonbaar | ±€6,6 miljoen |
Controle. De provincie betaalde 3,8% van de subsidiabele kosten, met een maximum van €250.000 [16]. Dan bedroegen de subsidiabele kosten 250.000 / 0,038 = ongeveer €6,6 miljoen. Dat komt overeen met de optelling.
Ongeveer €4 miljoen van de financiering, zo’n 60%, kwam van de EU.
| Belofte | Wanneer, door wie | Bron |
|---|---|---|
| Meer dan 4.500 wetenschappers en technologieleiders naar Leiden | bod, 2017 | [5][6] |
| Congresbezoekers besteden gemiddeld ongeveer €1.000 per verblijf | kernteam, 2019 | [9] |
| Blijvende effecten, met Tallinn (Culturele Hoofdstad 2011) als voorbeeld | kernteam, 2019 | [9] |
| Meer dan 500.000 bezoekers aan de activiteiten | doelstelling Leiden2022 | [17] |
| Minstens 8 congressen | doelstelling Leiden2022 | [17] |
| 365 dagen activiteiten | doelstelling Leiden2022 | [17] |
| 200 wetenschappelijke lezingen | doelstelling Leiden2022 | [17] |
| Congres: 1.500 deelnemers ter plaatse en 3.500 online | doelstelling ESOF2022 | [11] |
| Een blijvend “European City of Science”-label | EU-projectdoel | [14] |
| Leiden vestigen als kennisstad | EU-projectdoel | [14] |
| Belofte | Gemeten | Bron |
|---|---|---|
| >4.500 wetenschappers naar Leiden | ruim 1.500 deelnemers ter plaatse | [11] |
| 1.500 ter plaatse + 3.500 online | ruim 1.500 ter plaatse, ±900 online, ±700 in Katowice: samen ±3.100 | [11] |
| >500.000 bezoekers | 400.000–500.000 “engagements”, geschat; het aantal unieke bezoekers is “aanzienlijk kleiner” en onbekend | [17] |
| Minstens 8 congressen | 85 congressen in 2022, waarvan 56 gekoppeld aan Leiden2022 | [17] |
| 365 dagen activiteiten | gehaald, minstens één activiteit per dag | [17] |
| 200 lezingen | niet geteld; het rapport neemt aan dat het gehaald is | [17] |
| Blijvend label | vervallen: EuroScience ging failliet, de EU stapte over op een ander model | [4][18] |
| Leiden als kennisstad | 87% van de ondervraagde bezoekers vond dat Leiden wetenschap, kennis, kunst en vakmanschap verbindt | [17] |
Het impactrapport werd gemaakt door het bureau Cigarbox [17]. De metingen bestonden uit:
De respons was beperkt. Het congres leverde 244 ingevulde vragenlijsten op, de organisatoren 87, het festival 69 [11][17][19].
Bij de afsluiting werd een economische spin-off van meer dan €20 miljoen gemeld [20]. Het rapport geeft een bandbreedte van €20–26 miljoen [17]:
| Onderdeel | Laag | Hoog | Grondslag |
|---|---|---|---|
| Uitgaven van congresbezoekers | €7 mln | €9 mln | 56 congressen, 13.000 extra bezoekers, 80% van buiten Leiden, gemiddeld 2,1 dag, gemiddelde bestedingen volgens NBTC |
| Uitgaven van bezoekers aan publieksactiviteiten | €12 mln | €16 mln | 400.000–500.000 bezoeken, 70% van buiten de regio, €55 per dagbezoek |
| Uitgaven van Leiden2022 zelf | €0,7 mln | €0,7 mln | €2,4 mln lokaal uitgegeven, min €1,7 mln lokale sponsoring en subsidie |
Het grootste deel, €12–16 miljoen, rust op geschatte bezoeken vermenigvuldigd met landelijke gemiddelde bestedingen. Dat is een modelberekening, geen meting van wat er werkelijk in Leiden werd uitgegeven. Het aantal unieke bezoekers is onbekend [17].
Het impactrapport zegt bij drie van de zeven hoofddoelen dat er “meer informatie nodig” is voor een oordeel [17]. Verder:
Leidse musea telden in 2022 1,3 miljoen bezoeken: 10% meer dan in 2019, terwijl landelijk een daling van 27% gold [17]. Het rapport schrijft 100.000–150.000 extra bezoeken toe aan Leiden2022. Niet alle veertien musea groeiden [17].
In 2023 telde Leiden 16 internationale congressen volgens de ICCA-maatstaf: 6e van Nederland, 81e van Europa [21]. Dat getal is niet te vergelijken met de “85 congressen” van 2022, omdat ICCA strengere criteria hanteert. Een vergelijkbare telling over meerdere jaren is niet gevonden.
Het programma bereikte vooral mensen die al dicht bij wetenschap staan. De buurtactiviteiten bereikten een kleiner, breder publiek.
Deze stukken zijn op te vragen bij de gemeente Leiden en via de KvK-deponering van de stichting.
Leiden kreeg de titel zonder concurrentie. Er waren twee biedingen voor twee edities, en beide steden kregen er een. Den Haag zat in het bod en verdween uit de uitvoering.
Het geheel werd gedragen door een kleine kring: gemeente, universiteit, LUMC, Hogeschool en Leiden Marketing. Dezelfde instellingen dienden het bod in, richtten de stichting op en zaten in het toezicht.
Het kostte ongeveer €6,6 miljoen, waarvan zo’n €4 miljoen EU-geld. De eigen uren van de instellingen komen daar nog bij.
Het bod beloofde 4.500 wetenschappers. Er kwamen er ruim 1.500. De €20 miljoen economische spin-off is een modelberekening. Bij drie van de zeven hoofddoelen kon het eigen rapport geen oordeel geven. Het label waarvoor het jaar de basis moest leggen, bestaat niet meer.
[1] EuroScience. “How did EuroScience start?” Waarom lezen? De oprichting in 1997, de eerste bestuurders en de vroege financiering door de Commissie en het Stifterverband. https://www.euroscience.org/about/history/
[2] EuroScience (2014). Persbericht over de keuze van Toulouse voor ESOF 2018. Waarom lezen? Beschrijft het ESOF-bestuur “met vijf partners” en bevestigt dat het gastheerschap de titel oplevert. https://www.sciences-en-occitanie.fr/uploads/attachment/attached_file/23332613/esof_2018_final_version_euroscience.pdf
[3] Wikipedia. “Gail Cardew”. Waarom lezen? Haar functies bij de Royal Institution en EuroScience. https://en.wikipedia.org/wiki/Gail_Cardew
[4] Science|Business (2024). “Organiser of the EU’s main science conference goes bankrupt”, 19 maart 2024. Waarom lezen? Het faillissement van EuroScience, de kosten van een ESOF en de afhankelijkheid van EU-geld. Leesadvies: de passage over het financieringsmodel. https://sciencebusiness.net/news/horizon-europe/organiser-eus-main-science-conference-goes-bankrupt
[5] Sleutelstad (2017). “ESOF-congres twee jaar later naar Leiden”, 11 juli 2017. Waarom lezen? De presentatie van het bod, de rol van Den Haag, de citaten van het ESOF-bestuur en de belofte van 4.500 deelnemers. https://sleutelstad.nl/2017/07/11/esof-congres-twee-jaar-later-naar-leiden/
[6] WBC-RTI. “ESOF2022 Leiden/The Hague: Leiden will be the European city of science in 2022”. Waarom lezen? Somt de vier indieners op, inclusief het Haagse congresbureau. https://wbc-rti.info/object/news/20859.html
[7] TWAS (2017). “Trieste to host ESOF 2020”. Waarom lezen? Bevestigt dat er twee volledige biedingen waren. https://twas.org/article/trieste-host-esof-2020
[8] Research Professional News (2017). “Italy and Netherlands to host ESOF events”. Waarom lezen? Legt uit dat 2022 vroeg werd toegekend om beide biedingen te eren. https://researchprofessionalnews.com/rr-news-europe-universities-2017-7-italy-and-netherlands-to-host-esof-events
[9] Universiteit Leiden (2019). “European City of Science: ‘major showcase’ for the city of Leiden”, 12 maart 2019. Waarom lezen? Het kernteam, de verwachte bestedingen per congresganger en de vergelijking met Tallinn. https://www.universiteitleiden.nl/en/news/2019/03/european-city-of-science-major-showcase-for-the-city-of-leiden
[10] Stichting Leiden European City of Science 2022. Jaarrekening en bestuursverslag 2021. Waarom lezen? De belangrijkste primaire bron: raad van toezicht, leiding, begroting, financiers en contracten met EuroScience. Leesadvies: het bestuursverslag en de paragraaf over financiering. https://leiden2022.nl/sites/default/files/2022-07/20220704%20Stichting%20Leiden%20European%20City%20of%20Science%202022%20Jaarrekening%20Stichting%20RJ640%202021.pdf
[11] Leiden2022 (2023). ESOF2022 Programme and Evaluation Report. Waarom lezen? De organisatiestructuur van het congres, de rol van EuroScience, de doelen en de werkelijke deelnemersaantallen. https://leiden2022.nl/sites/default/files/2023-06/D3.2%20ESOF2022%20Programme%20and%20evaluation%20report.pdf
[12] Leiden2022. “Playbooks Leiden European City of Science”. Waarom lezen? Het programmaconcept van de intendant. https://leiden2022.nl/en/newsroom/playbooks-leiden-european-city-science
[13] Sleutelstad (2019). “Directeur Leiden Marketing verkozen tot ‘machtigste Leidenaar'”, 19 december 2019. Waarom lezen? Laat zien wie lokaal de eer kreeg voor het binnenhalen van ESOF. https://sleutelstad.nl/2019/12/19/directeur-leiden-marketing-verkozen-tot-machtigste-leidenaar/
[14] CORDIS. Project 101052247, Leiden2022-ECS-ESOF. Waarom lezen? De EU-bijdrage, de totale projectkosten en de projectdoelen. https://cordis.europa.eu/project/id/101052247/reporting/de
[15] CORDIS. Project 101052410, EUCYS Leiden2022. Waarom lezen? De tweede EU-subsidie. https://cordis.europa.eu/project/id/101052410
[16] Provincie Zuid-Holland. Besluit incidentele subsidie Leiden European City of Science 2022. Waarom lezen? Het bedrag, de verdeling over onderdelen en de regel van 3,8% van de kosten. https://www.zuid-holland.nl/publish/besluitenattachments/verlening-incidentele-subsidie-leiden-european-city-of-science-2022/verlening-incidentele-subsidie-leiden-european-city-of-science-2022.pdf
[17] Cigarbox / Leiden2022 (2023). Leiden2022 Impact Report, 31 maart 2023. Waarom lezen? Doelen naast resultaten, de berekening van de economische spin-off en de punten waar geen oordeel mogelijk was. Leesadvies: de bijlage met doelen en de paragraaf over economische impact. https://leiden2022.nl/sites/default/files/2023-03/March%2031%202023%20Leiden2022%20impact%20report%20DEF.pdf
[18] Europese Commissie (2026). “Science comes to town: taking European research and innovation where it matters most”, 20 mei 2026. Waarom lezen? De opvolger van de City of Science. https://research-and-innovation.ec.europa.eu/news/all-research-and-innovation-news/science-comes-town-taking-european-research-and-innovation-where-it-matters-most-2026-05-20_en
[19] Leiden2022 (2023). European Science in the City Festival: Programme and Evaluation Report. Waarom lezen? Bezoekersaantallen en het profiel van de festivalbezoekers. https://leiden2022.nl/sites/default/files/2023-06/D4.2%20SICF%20Programme%20and%20evaluation%20report.pdf
[20] Leiden2022. “European City of Science Leiden2022 has concluded with a huge social and economic impact”. Waarom lezen? De slotboodschap van de organisatie, met het cijfer van €20 miljoen. https://leiden2022.nl/en/newsroom/european-city-science-leiden2022-has-concluded-huge-social-and-economic-impact
[21] Leiden International Centre. “Sixth place in the national ICCA Ranking for Leiden”. Waarom lezen? Het aantal internationale congressen in 2023 volgens ICCA. https://www.leideninternationalcentre.nl/get-advice/blogs/sixth-place-in-the-national-icca-ranking-for-leiden
[22] CORDIS. Project 101292372, Science4Everyone. Waarom lezen? De deelnemers en bedragen in de opvolger, 2026–2028. https://cordis.europa.eu/project/id/101292372
[23] Knol, M. en Geelhoed, L. (2023). The Leiden2022 Model for Public Engagement with Science. Zenodo. Waarom lezen? Het eigen eindoordeel van de leiding en het voorgestelde model. https://zenodo.org/records/18258655
[24] Rekenkamer Leiden & Leiderdorp (2025). Rekenkameronderzoek Citymarketing Leiden, eindrapport 5 juni 2025. Waarom lezen? De financiering van Leiden&Partners, de sturing door de gemeente en de verplichting tot deelname aan het vervolg op European City of Science. https://www.rekenkamerleidenleiderdorp.nl/uploads/files/20250605_Eindrapportage_-_Rekenkameronderzoek_Citymarketing_Leiden.pdf
J. Konstapel, Leiden,17-1026.
© 2026 J. Konstapel, Constable Research, Leiden. All rights reserved. Quotation with
attribution is permitted; reproduction of the whole requires written permission
de “wolframcrisis” is geen grondstoffenschaarste , maar een bewust gecreëerd knelpunt in de verwerkingsfase: China controleert de omzetting van erts naar ammoniumparatungstate (APT), waar de prijs sinds 2025 enorm door steeg.
De Verenigde Staten hebben daarop met eigen beperkingen gereageerd, waardoor een politiek bepaalde prijsvloer is ontstaan die vooral Europese recyclers raakt.
De oplossing ligt niet in grootschalige mijnbouw, maar in kleinschalige, regionale ketens: herslijpen, zinkrecycling en directe carbideproductie, die China’s knelpunt omzeilen.
Europa moet daarvoor zijn eigen wolfraamschroot in de eigen keten houden, in plaats van het te exporteren naar de Verenigde Staten, die hun schroot sinds augustus 2026 volledig voor de eigen markt reserveren.
NB: Tungsten en wolfram zijn exact hetzelfde chemische element: het symbool W.
J.Konstapel, Leiden, 17-10-2026.
Aanleding FD: Zonder dit heetste metaal geen AI, defensie en ruimtevaart
Tungsten is everywhere and nowhere. It sits in the drill that cuts a printed-circuit board, the insert that machines a crankshaft, the tip of an armour-piercing shell and the wall of a fusion reactor. In 2026 the metal became a byword for scarcity. Its price rose roughly ninefold in under two years. Dart sets cost thirty percent more. A metalworking firm in Zoetermeer speaks simply of “the tungsten crisis.”
Yet the ground is not the problem. World reserves exceed 4.7 million tonnes. At the 2025 mining rate of 85,000 tonnes, that is more than fifty years of supply. The scarcity sits in one step of the chain: the conversion of ore into ammonium paratungstate (APT), the white salt from which every tungsten product begins. China controls about 85–86 percent of APT capacity, according to S&P Global and the Centre for Materials & Resilience — figures that remain single-sourced and could not be independently verified.
The crisis, in other words, is a node, not a resource. And the node has been closed deliberately, twice.
China’s Announcement No. 10 of 4 February 2025 placed specific tungsten items under export licence: APT, tungsten oxides and carbide powder, heavy alloys above 17.5 g/cm³, massive tungsten pieces above set dimensions, and the production technology for all of these. The controls sit precisely on the node. Concentrate, metal powder and finished tools are absent from the list. China mines 67,000 of the world’s 85,000 tonnes (79 percent); the prefecture of Ganzhou says of itself: think of Ganzhou with tungsten as you think of the Middle East with oil.
Beijing then locked the gate shut. On 26 December 2025, the Ministry of Commerce published its state-trade list for 2026–2027: only fifteen companies in all of China may legally export tungsten. Unlike a negotiable quota, a state-designated exporter list is difficult to contest or unwind. Chinese APT exports collapsed from 782 tonnes in 2024 to 243 tonnes over January–November 2025, with 57 percent of that going to Japan alone; by early 2026 they approached zero, and total tungsten exports fell 34 percent year-on-year in the first two months of the year.
The market responded as a tree does when its trunk closes. Tungsten concentrate rose from $750–850 to $2,500–2,800 per metric ton unit (mtu), where it has held since late May 2026. APT in Rotterdam traded above $3,000 per mtu. The International Energy Agency called tungsten the fastest-rising strategic metal.
Here is what the price is not. It is not an energy price. Making tungsten carbide from concentrate takes about 10 kWh of electricity per kilogram of tungsten; the step from concentrate to APT takes about 1.9 kWh. At €0.15 per kWh, energy was four percent of the APT price at the start of 2025. By 15 October 2026 it was roughly half a percent, and a tenth of that for the APT step itself. Nothing became costlier to make. One gate closed, and the price followed it up.
The conventional reading of this crisis stops at Beijing: the price is geopolitical, and what one political decision raised, another can lower. That reading is now incomplete. In 2026 the United States built its own gate, on the other side of the Atlantic market.
On 27 August 2026, the Bureau of Industry and Security published a temporary final rule under the Defense Priorities and Allocations System. American sellers of tungsten waste and scrap (Schedule B 8101.97) and battery black mass must allocate one hundred percent of their monthly sales to US buyers. Exports are prohibited unless BIS grants an exception; a narrow pathway exists for material refined abroad and returned. The rule runs to 27 August 2027 and can be extended. Washington used the Defense Production Act, not standard export-control law, and its logic is unambiguous: tungsten has not been mined commercially in the United States since 2015, so scrap is one of the few domestic sources it can secure immediately.
A second measure follows on 1 January 2027, when US defence procurement rules will generally prohibit tungsten metal powder, heavy alloy and covered components sourced from China, Russia, North Korea or Iran — reaching back through the supply chain to ore and recycled material. A July 2026 executive order tightened the exemptions. Commentators have called this “scrap nationalism”: Washington adopting Beijing’s playbook. The label is fair, and it matters for one group above all — European recyclers.
The consequence is a policy-driven price floor with two supports. If Beijing reopens its gate, the price will not simply fall back, because the American system now excludes Chinese tungsten from defence supply and keeps American scrap at home. Any business case for Western tungsten built on today’s price rests not on one political decision but on two, in two capitals, pulling in the same direction. For mining investors, the old risk remains — a reopened Chinese tap — but it is now paired with a new certainty: a structurally protected Western demand base. The two do not cancel out. They make the price less informative and the commitment longer.
Western tungsten mining has been paid for in wartime, and punished in peacetime. The largest tungsten mine outside China, in Australia, opened in the First World War, reopened just before 1939, produced through the Korean and Vietnam wars, closed in 1990, and is open again now. Ten years ago China sold tungsten below cost and Western mines went under water.
Large projects are again under way. H.C. Starck, owned by Mitsubishi Materials since December 2024, invests about €50 million in Goslar, lifting capacity by nearly half to about 7,000 tonnes a year by 2028; some eighty percent of its feed is already recycled material. Mitsubishi Materials doubles APT capacity in Akita, Japan, by April 2029. Almonty began processing at Sangdong in Korea in July 2026 and has certified the plant for commercial production, with nearly half its output allocated to munitions production in Pennsylvania. Tungsten West is commissioning at Hemerdon in England. Kazakhstan’s Boguty began producing in 2025.
These plants make APT outside China. That is valuable. But they are still trunks: single, large, thirty-year commitments. They carry the same risk the Australian mine carried. Large capacity outside China needs a floor under the price — long-term offtake, strategic stock, or public ownership. Absent that floor, history repeats.
The European Union has answered the crisis with geology. In its second batch of strategic projects under the Critical Raw Materials Act (9 October 2026), the Commission approved 46 new projects across 16 member states, including three on tungsten. The Borralha mine in Portugal — held by Mineralia, with Allied Critical Metals advancing the neighbouring project — is the only tungsten extraction project in the batch. A correction to earlier analysis of this batch: a tungsten processing plant is in fact included. “EU APT Tungsten Plant,” promoted by Abenójar Tungsten S.A., is planned in Puertollano, Spain — the first EU APT project in the programme. No tungsten recycling project was selected. That is the gap.
The gap is measurable. In 2025 the EU exported 4,911 tonnes of tungsten waste and scrap outside the Union, two-thirds of it to the United States. The Netherlands alone exported 928 tonnes, mostly to Germany, and is a net scrap exporter. Tungsten scrap holds far more tungsten per tonne than any ore. Half of Europe’s carbide already comes from recycling, and the European recycling sector says its capacity is “approaching its limits.”
Meanwhile, every major player except Europe is closing its loop. Japan’s machine-tool builders discourage carbide scrap from leaving the country. China draws on recycled feedstock to offset reduced mining quotas. And since 27 August 2026, the United States — destination of two-thirds of Europe’s scrap exports — requires that American scrap be sold only to American buyers. Europe’s richest secondary ore is flowing toward a market that no longer releases its own.
EU policy has noticed metal scrap in general, but not tungsten in particular. The RESourceEU plan proposes export limits on scrap of magnets, aluminium, possibly copper and battery black mass; tungsten is not named, even though the same programme calls for keeping metal stocks within the Union. Tungsten scrap remains on the “green list” of wastes (B1010), and from 21 May 2027 it may go outside the OECD only to listed countries — a restriction that does not touch the flow to the United States. On 18 September 2026 the Commission published its draft country list under the revised Waste Shipment Regulation; the broader metal-scrap framework is tightening, but tungsten scrap to the US remains unaffected. The Dutch list of critical raw materials (7 July 2026) includes tungsten and contains no measure on scrap.
The correction is obvious and cheap relative to a mine. Fund the loops and the processing, not only the extraction. Treat clean carbide scrap as a resource, not a waste. Keep tungsten scrap in the European loop, as is already proposed for magnets and aluminium. The European Parliament votes on the CRMA amendment on 20 October 2026 — tomorrow, as this is written.
The routes that bypass the Chinese node are not large. They are small, proven, and they pay at today’s prices.
Regrinding. A worn solid-carbide drill can be reground several times. An independent study finds that more than sixty percent of original tool life returns; vendors claim 85–95 percent. A regrind costs about thirty percent of a new tool. Per unit of cutting work, that is 64–73 percent less new carbide, with no new technology required.
Keeping carbide as carbide: zinc recycling. Worn carbide is placed in molten zinc at 450–500 °C. The zinc swells the cobalt binder, the piece falls apart, the zinc is distilled off and reused, and the carbide is milled to powder. The grain is never rewritten. It costs about 3.3 kWh per kilogram of tungsten — a third of the primary route. Recycled powder is not on the Chinese control list.
Supplier take-back, now at scale. Sandvik reports 70 percent less energy and 64 percent less CO₂ for recycled carbide, aims to buy back ninety percent of its insert volume, and has now gone further: its PowerCarbide grades will carry up to 75 percent recycled cemented carbide as standard across global drill-bit production through 2026–2027, using closed-loop extraction units stationed on every continent. Its Austrian subsidiary Wolfram Bergbau already makes half its products from recycled material. Ceratizit sells a grade with more than 99 percent recycled content at 56 percent lower carbon footprint than its conventional equivalent.
Making carbide straight from ore. Polini and colleagues (2021) milled tungsten concentrate with carbon black, heated it for six hours at 1,150 °C, leached it, and obtained tungsten carbide of 99 percent purity with a 92 percent extraction yield. The route skips APT, oxide and metal. It uses half the energy, four reagents instead of fourteen, and less than half the waste. The carbide sintered into hard metal of industrial quality. The Italian firm F.I.L.M.S. holds the patent. Verification research finds no industrial-scale deployment yet; the route remains laboratory-proven — but so did every other route once.
The economics now support the loop. Carbide scrap fetched under €20 per kilogram in 2023, about €75 in January 2026, peaked at €130–140 in March 2026, and settled at €65–80 by mid-October 2026. European prices in 2026 ran at 80–100 €/kg. Recycling capacity, not scrap availability, is the binding constraint: processing runs at capacity, and new facilities take two to three years to build and qualify. The US Department of Energy has already put an $11.5 million grant behind domestic carbide recovery.
This is the shape of the answer. A zinc furnace serves a region. A direct carbide line can stand beside a mine. A regrind service needs a workshop and a spare-tools bin. Against one trunk, a net of small meshes — each mesh cheap, fast, and outside the reach of Announcement No. 10.
For many functions, tungsten already has a working alternative. Silicon nitride ceramics machine cast iron three to four times faster, without tungsten. Hard turning with PCBN instead of grinding uses ten to fifteen times less energy per volume removed, and one lathe replaces several grinders. Ti(C,N) cermets finish steel at higher speeds. SiAlON ceramics cut nickel alloys at four times the conventional speed. Diamond tooling lasts four times longer in aluminium and composites. Lead and steel do most shielding work at a fraction of the cost.
In semiconductors, the substitution has crossed from possibility to plan. SK hynix has verified 375-layer NAND flash and will begin mass production by the end of 2026, replacing part of the tungsten in its word lines with molybdenum — chosen for lower resistance as wiring narrows. Samsung was first to introduce molybdenum in metal wiring; Micron has adopted it; future 480- and 604-layer generations will rely on it more heavily. Lam Research and Tokyo Electron supply the deposition equipment. A materials cycle that lasted a quarter-century is ending.
Two caveats keep this in proportion. First, the volume is small: industry expectations run at 25–80 tonnes of molybdenum per year for memory between 2027 and 2030. Technology routes around the problem; it does not relieve the tungsten market. Second, molybdenum is not a repeat of tungsten’s geography: China mines 37 percent of molybdenum, against 79 percent of tungsten, and its export control on molybdenum covers only fine powder for missile parts.
Yet the cutting-tool industry’s answer to the 2026 crisis has been price rises — up to sixty percent on some tool lines — and carbide grades with less tungsten, not a shift to the tungsten-free tools it already sells. Ceramics held 8.5 percent of the cutting-tool market in 2011; nothing in the reviewed sources shows that share moving now. The obstacle is not physics. It is habit, installed machines, and a supply chain built around one material. Firms that adopt the alternatives now buy independence from the node.
Two functions have no plentiful alternative: density combined with hardness, as in armour-piercing ammunition, and the wall of a fusion reactor. These are the places for strategic stock, not substitution.
Could tungsten be made from something else? No route works at acceptable cost, and the physics has now been computed in detail.
The state road: some stable atoms become unstable when stripped of their electrons — measured for dysprosium-163, rhenium-187 and thallium-205. Computed at every charge state, no natural nucleus opens a path to tungsten. The nearest candidate, tantalum-181, stays closed by 138 keV even when fully ionised.
Capture: tantalum-181 captures a neutron and becomes tungsten. In a strong reactor flux, a thin tantalum foil converts 4–9 percent per year. But every tungsten atom costs one neutron, which puts the energy at a minimum of 2.6 million kWh per kilogram — against roughly 10 kWh for the chemical route. And tantalum is 34 times scarcer than tungsten.
One reverse effect is worth a footnote. A fusion reactor’s tungsten wall slowly becomes rhenium and osmium: about 0.27 tonnes of rhenium per gigawatt-year, three-tenths of a percent of world output. Fusion consumes the very metal its wall is made of — one more reason the reactor wall belongs on the short list of functions with no substitute.
For governments and the EU. Fund loops and processing, not only mines. Add tungsten scrap to the scrap-export measures already drafted for magnets and aluminium — before the flow to the United States, now a closed American loop, becomes irreversible habit. Build strategic stock where no substitute exists: defence and fusion. Support the Puertollano APT plant and Borralha, and match them with the recycling capacity that no strategic project yet provides.
For investors. Mining shares have risen three- to tenfold. Their value rests on a price set by two export regimes, not by cost. History shows what a reopened Chinese gate does to uncovered capacity; the American floor shows what it does to prices for compliant, non-Chinese supply. Processing and recycling capacity outside China — with price protection and qualification — is the sounder exposure.
For entrepreneurs. The openings are small and regional, and the constraint is now capacity: regrind services; scrap pools that reach the half-tonne lots the market requires; zinc recycling near clusters of tool users; qualification partnerships for new recovery lines. Each is a two-to-three-year build with a price environment that pays for it.
For large manufacturers. Specify by function, not by habit. Ceramic, PCBN and cermet tools already do part of the work without tungsten. Return all carbide to the supplier. Buy recycled grades — they are now standard, certified and cheaper in carbon as well as in exposure.
For the people involved. In Borralha, opposition is growing, not fading: the environmental assessment drew 653 submissions, a residents’ collective — “Cávado Sem Minas” — has taken the case to protest and court, and the mine’s EU designation has intensified the contest between Lisbon, Brussels and the people who drink the water. In Rwanda, Trinity Metals employs more than 6,500 people, ninety-nine percent Rwandan. At the machine, a loop means separate bins, clean scrap, a spare stock of tools during regrinding, and one person who owns it. Anyone grinding carbide in-house faces the EU’s proposed cobalt exposure limit of 0.01 mg/m³. The circular economy has working conditions, too.
The tungsten crisis is often described as a shortage. It is better described as a design flaw, exposed. A century of supply chain design concentrated the world’s tungsten in one processing step, in one country — a trunk carrying every leaf. China closed the trunk; the United States is now closing its own; each closure raises the price of every alternative route.
The way out was never going to be a bigger trunk. It is the net: reground tools that never re-enter the chemical chain, zinc furnaces that keep carbide as carbide, suppliers who take their own products back at 75 percent recycled content, a one-step carbide line waiting for its first industrial owner, ceramics and cermets already cutting cast iron without tungsten, and molybdenum quietly replacing tungsten in memory chips. None of these routes needs thirty years. None of them passes through the node. All of them need the one thing that policy has not yet given: Europe’s own scrap, kept in Europe’s own loop.
The ground holds fifty years of tungsten. The gate holds the price. The net, small mesh by small mesh, is how the West walks around the gate.
© 2026 J. Konstapel, Constable Research, Leiden. Quotation with attribution is permitted; reproduction of the whole requires written permission.
J.Konstapel,Leiden,17-10-2026.
© 2026 J. Konstapel, Constable Research, Leiden. All rights reserved. Quotation
with attribution is permitted; reproduction of the whole requires written
permission.
J.Konstapel Leiden, ,17-10-2026
© 2026 J. Konstapel, Constable Research, Leiden. All rights reserved. Quotation with
attribution is permitted; reproduction of the whole requires written permission.
Fd-article : Bouwen. Vliegen. Bijsturen. Hoe SpaceX werkt aan het grootste ruimteschip ooit
A settlement on Mars should not be judged only by how much cargo arrives. The more important question is whether it can continue to operate when deliveries from Earth stop. A large shipment can build a settlement, but it cannot by itself make that settlement independent. Independence depends on whether essential systems can renew their own inputs and replace their own losses.
This essay proposes a different way to organise the programme. First, measure how well each essential cycle closes. Second, test life-support and food systems on Earth before sending them to Mars. Third, send a compact industrial seed and the knowledge needed to use local resources. Fourth, count the interfaces between systems, because every interface can introduce a failure point. Fifth, design landed equipment for a useful second life. Finally, judge progress by demonstrated capabilities, not by tonnage alone.
The source paper’s combined model estimates that a settlement of 1,000 people could require roughly 30–114 landings under its stated assumptions, rather than the 10,000 landings implied by a million-tonne transport plan. That is a model result, not a demonstrated mission design. It depends on local manufacturing, early closure of essential life-support loops, and assumptions about industrial growth. The paper also explores a speculative possibility: that the geometry of small gaps might affect measured weight. That proposal is not established physics. It should be separated from the much more practical case for better recycling, local production and disciplined testing.
1. Define success correctly
SpaceX has described the goal as a city that can survive if resupply ships stop arriving from Earth for any reason. This is a demanding standard. It means more than keeping a crew alive until the next launch window. It means having no essential dependency that eventually forces the settlement to request another shipment.
The familiar transport plan measures progress in payload mass and launch frequency. The source paper uses an indicative target of about one million tonnes, delivered over roughly twenty years. With around 1,000 ships per launch window and a window every 26 months, that amounts to about ten major windows and 10,000 landings if each ship delivers 100 tonnes. These figures describe a transport scenario. They do not show whether the resulting city can function independently.
A better measure is closure: the degree to which a system can maintain its function without importing the materials it consumes or loses. Oxygen, water, food, nutrients, energy, machinery and replacement parts each need their own account. A settlement may recycle water well while remaining dependent on imported electronics. It may grow much of its food while losing essential minerals in waste. A single overall percentage can conceal these weaknesses.
The first management tool should therefore be a closure ledger. It should list every essential loop, its measured recovery rate, its losses, its reserve capacity and the evidence behind each figure. Unknown values should be marked as unknown. This ledger should be prepared before the architecture is selected. Otherwise, the team risks choosing a design first and defining success around it afterwards.
2. Close the difficult loops on Earth
A Mars mission should not be the first full test of a settlement’s life-support system. Earth-based trials can reveal failures at much lower cost. They can also be repeated, instrumented and inspected by independent teams.
The source paper points to Lunar Palace 365, a Chinese closed-environment experiment that operated with human crews and crop systems. It reports high closure for oxygen and water, but lower closure for food and solid waste. The paper gives an overall closure figure of 98.2 percent. These figures suggest that recycling air and water is not the only challenge. Food production and the treatment of biological waste remain important sources of dependence.
Small percentages matter. If the unrecovered share of a system falls from 1.8 percent to 1 percent, the required replacement flow can fall substantially, assuming the same accounting boundary and operating conditions. The source paper estimates that improving overall closure from 98.2 to 99 percent reduces imports by a factor of about 1.8. A rise to 99.9 percent would reduce them by about a factor of 18. These are arithmetic illustrations. Real systems may not scale linearly, and different loops may fail in different ways.
The next step should be a sealed greenhouse trial with a crew of realistic size. It should run long enough to reveal cumulative problems. Researchers should measure food output, crop diversity, water recovery, oxygen balance, solid-waste processing, nutrient losses and the need for replacement supplies. The target for each loop should be set in advance. Results should be independently checked.
Past experiments warn against treating a closed habitat as a simple machine. Biosphere 2 experienced a major decline in oxygen, linked in the source literature to biological activity in the soil and carbon dioxide absorbed by concrete. BIOS-3 and other life-support studies also identified persistent losses of nutrients and minerals. These examples do not show that closure is impossible. They show why it must be demonstrated in operation rather than assumed from a design diagram.
3. Send an industrial seed, not the whole city
The central economic opportunity is to use Martian resources for most of the settlement’s bulk material. Mars has regolith, rock, atmospheric carbon dioxide and, in some locations, water ice. These resources are not ready-made construction materials. They must be mined, processed and converted. Yet processing local material may be more practical than lifting every wall, tank and spare part from Earth.
The source paper calls the initial industrial package a seed. It would include robots, power systems, tools, manufacturing equipment and the instructions needed to operate and expand them. Its purpose is to establish a production chain. The seed would make more equipment, which would then expand the production chain. The goal is to reduce the share of each new installation that still has to be imported.
Research cited in the source paper describes robotic processing of regolith, casting in sintered-regolith moulds, sulphur-based concrete, plant growth in Martian soil simulants, cyanobacteria grown under simulated Martian conditions and biological extraction of metals from basalt. Each result addresses a part of the problem. None, by itself, demonstrates a complete Martian industrial economy.
The crucial metric is the imported share of each class of equipment. Call this share f. It should be measured separately for electronics, bearings, seals, sensors, catalysts, motors and other components. A factory may produce most of its structure locally while remaining dependent on imported control electronics. Such a factory is productive, but not yet independent.
The source paper uses a growth model derived from earlier work on self-replicating manufacturing systems. It estimates that a 41-tonne seed could support a much larger installed industrial base over successive generations. The paper applies that model to Mars, while acknowledging that the growth rate has not been demonstrated under Martian conditions. Solar energy is weaker on Mars than on the Moon, and the availability of materials, maintenance and process control may change the result. The growth schedule must therefore be tested with realistic power and material constraints.
The operational rule is simple: ship the knowledge and the minimum equipment needed to begin production. Then measure, generation by generation, which components can be made locally. Do not count a component as locally available merely because its housing can be manufactured on Mars. The full component must work to the required specification and lifetime.
4. Count interfaces and reduce failure points
Complex systems fail not only because individual components are weak. They also fail at the interfaces between components. Materials expand at different rates. Seals leak. Electrical connectors corrode or loosen. Fluids cross boundaries. Thermal protection must remain attached to the structure beneath it.
The source paper calls these interfaces seams. It borrows a formal result from the Vacuum.Net Theory: in the theory’s mathematical model, two differently closed triples cannot both close across the boundary in the same way. The paper then reads this as a reason to count engineering interfaces. The mathematical result concerns the theory’s defined trits. Applying it to actual machines is an interpretation, not a proven law of engineering. Still, interface counting is a useful engineering practice in its own right.
Consider a heat shield. The metal structure and ceramic tiles have different thermal properties. Their attachment points and gaps require careful design. The source paper proposes a test using photographs of recovered upper stages. Investigators would define the seam area before inspecting tile damage. They would then test whether damage is concentrated at seams more often than the seam area alone would predict. The test should specify its failure threshold in advance. If the public photographs are too few, the result should be reported as inconclusive.
The same approach can compare transport architectures. A design may involve launch, staging, docking, propellant transfer and landing. Each transition introduces hardware, procedures and opportunities for failure. The source paper estimates 13–18 seams for one Starship design case and 5–7 for a minimum case. These counts depend on the counting rule and mission assumptions. They should not be treated as universal values.
Before selecting an architecture, engineers should publish a clear interface-counting rule. They should count every candidate design using the same rule. They should repeat the comparison under a second reasonable rule. If the ranking changes, the result is too sensitive to the definition to support a confident choice. When mass and performance are otherwise comparable, a design with fewer difficult interfaces may be easier to operate and maintain.
5. Treat landed hardware as industrial stock
A one-way cargo vehicle does not have to be waste. Its structure, tanks, engines and other components may become useful material on Mars. The source paper estimates a dry mass of about 100 tonnes for a landed Starship, but explicitly marks this figure as an assumption that requires confirmation from primary SpaceX data.
The idea is to design for a second life from the beginning. Tanks might become pressure vessels or storage units. Structural sections might become supports. Selected engine components could become spare parts. Steel could be processed as feedstock. The exact uses would depend on material properties, contamination, inspection and the tools available on Mars.
The same principle applies to waste from other activities. Crop residues may become inputs for biological materials. Sulphur may serve as a binder. Processed regolith may become bricks or construction elements. These are promising directions, but each requires testing for strength, durability, toxicity and performance in Martian conditions.
A useful design review should ask three questions about every major item sent to Mars. What is its primary function? What can it become after that function ends? What equipment is needed to reuse it safely? A second life has value only when the conversion process is practical. Reuse should be engineered, not assumed.
6. Choose transport methods with a common scorecard
The source paper discusses several ways to reduce the burden of transport. These include one-way ships, propellant production on Mars, water ice instead of water-bearing regolith, oxygen production from local resources, lunar water as a possible supply and alternative launch infrastructure. The options differ in maturity and should not be treated as equally available.
Making propellant on Mars could reduce the need to transport return fuel from Earth. NASA studies have examined production of methane and oxygen from local resources. The source paper calculates that a large return load would require substantial plant capacity and power. That makes local propellant a strategic option, but not a free resource. The settlement must first build the extraction, processing, storage and power systems needed to produce it.
Water ice may require less energy to process than extracting small amounts of water from regolith. But the relevant ice deposits must be located, characterised and reached. The choice of landing site therefore affects the whole industrial plan. A site with accessible ice may be preferable to a site with better conditions in another category, but only after the trade-offs are quantified.
Aerocapture could reduce the amount of propellant needed for arrival by using the atmosphere to remove orbital energy. The source paper notes that the approach has not been demonstrated in the relevant operational context. It should be treated as a technology-development option, not as guaranteed savings.
All transport choices should use one scorecard. It should include landed mass, propellant, energy, interface count, operational maturity, repairability, local resource requirements and consequences of failure. The cheapest option on paper may not be the most reliable. The best option is the one that performs well under a transparent set of assumptions and can be tested before it becomes mission-critical.
7. Measure progress by demonstrated capabilities
A programme can report many launches and still fail to establish a self-sustaining settlement. It can also make important progress before delivering large amounts of cargo. A successful test of a closed water loop, a reliable local manufacturing process or a replacement part made from Martian feedstock can reduce future dependence.
The programme should use milestones that can be observed and independently verified. Examples include: a life-support loop that operates for a defined period; a greenhouse that meets a pre-set food target; a manufacturing unit that produces a specified part; a second-generation machine that builds a working third-generation unit; and a maintenance team that repairs equipment without imported components.
Tonnage and cost remain important. They should be treated as outputs of the design, not as substitutes for operational independence. The programme should report both the amount delivered and the amount of essential function that can be sustained locally. Each claim should state whether it is measured, calculated from stated assumptions, inferred from a model or still open.
The source paper notes a large gap between the Starship flight rate it calculates for a million-tonne programme and the flight rate represented by the launch history available to it. That gap is a reminder to separate demonstrated capability from planned scale. A projection is not an operational rate. The schedule should change when the evidence changes.
8. The unresolved question of weight
The paper also explores a more speculative idea. In the Vacuum.Net Theory, matter is described as a stable closure in a larger net. The theory proposes that some effective constants may depend on the local state of that net. The paper asks whether the geometry of small gaps could alter the measured weight of an object.
It distinguishes two routes. The first would require changing or opening the closure associated with mass. The paper concludes that the energy cost of this route is vastly greater than the energy needed to lift a kilogram into low Earth orbit. It therefore treats this route as impractical.
The second route proposes that geometry might change the state of the net around an object. Under a set of explicit assumptions, the paper’s path model predicts a possible difference in weight for objects built with narrow gaps. The paper compares this idea with earlier measurements of stacks of metal discs and a solid cylinder. It acknowledges that the existing measurements do not settle the question.
This proposal is not an established method of reducing gravity or launch energy. The connection between the theory’s mathematical variables and gravitational coupling remains unproven. The predicted magnitude also depends on assumptions about length scales, path duration and which parts of an object respond to a gap. A mathematical calculation inside a model does not establish that the effect exists in nature.
The paper proposes a useful scientific discipline: define the prediction before taking the measurement. Compare the same discs using spacers of about 2 millimetres and shims of about 20 micrometres. Use the same mass comparator, preferably under controlled vacuum conditions. Specify the expected signal, uncertainty and failure criterion in advance. Independent laboratories should repeat the experiment.
A null result would constrain or reject the specific version of the proposal being tested. A positive result would require replication and checks for ordinary causes, including geometry, temperature, air currents, magnetic effects, contact forces and calibration. Until independent results support the claim, no Mars transport plan should assume a reduction in weight or launch energy.
9. The human settlement is part of the engineering
A settlement is not a collection of machines. It is a community that must maintain those machines, make decisions and care for its members. The source paper identifies several unresolved human questions: radiation exposure, life at 0.38 g, long-term reproductive health, isolation, delayed communication and the loss of familiar institutions.
Radiation is a major constraint during transit and on the Martian surface. Shielding with local material may reduce exposure, but it adds requirements for excavation, structure and access. Partial gravity raises another uncertainty. The source paper cites animal studies, but long-term human outcomes at Martian gravity remain unknown. Short experiments cannot establish the safety of living and reproducing at 0.38 g for decades.
Isolation and group dynamics also require planning. Antarctic stations and controlled-environment studies provide useful evidence, but they are not identical to a permanent settlement on Mars. Communication delays make direct supervision from Earth difficult. Medical care, education, conflict resolution and governance must work locally.
The source paper discusses a founding group of around 110 adults as a possible labour minimum, based on secondary reporting of demographic analysis. That figure should not be read as a complete design for a resilient society. Skills, health, redundancy, age structure, social compatibility and emergency capacity all matter. The population model must be tested against the work that actually needs to be done.
Biological diversity also matters. Plants, microbes and other organisms may be necessary parts of food production, waste treatment and nutrient cycling. Research on frozen mouse sperm and embryos in space offers limited evidence about biological preservation. It does not demonstrate safe human reproduction on Mars. That remains an open question requiring careful, staged research.
A credible plan should make human safety a design requirement. It should not treat people as interchangeable cargo or assume that local institutions will emerge automatically. A self-sustaining settlement needs both closed material cycles and a community capable of sustaining them.
10. A staged programme
The source paper’s practical sequence is to carry out the cheapest tests before committing to expensive launches. A revised programme can be organised as follows.
Stage 1 — Establish the baseline. Create a closure ledger for oxygen, water, food, nutrients, waste, energy, metals, polymers, electronics and spare parts. Record measured values separately from assumptions.
Stage 2 — Improve Earth-based life support. Run a sealed greenhouse and life-support system at realistic crew scale. Set targets and failure criteria before the trial. Publish the full material balance.
Stage 3 — Validate industrial processes. Test regolith processing, metals, ceramics, polymers, biological systems and repair methods. Include power demand, wear, maintenance and product quality.
Stage 4 — Compare architectures. Use common assumptions to compare transport options. Count interfaces, identify failure modes and test whether the ranking survives alternative reasonable counting rules.
Stage 5 — Test local manufacturing growth. Track each equipment class across successive generations. Verify that locally produced parts meet specifications and that the imported fraction is falling.
Stage 6 — Resolve human risks. Develop a staged research programme for radiation, partial gravity, medical care, reproduction, social organisation and emergency response.
Stage 7 — Send the industrial seed. Only after the enabling systems have met pre-defined requirements should the programme commit to a seed package. Match crew arrival to verified production capacity.
Stage 8 — Expand by evidence. Increase the settlement’s population and industrial capacity only as the closure ledger and operational record justify it. Treat each expansion as a new engineering decision.
Conclusion
The central issue is not whether a million tonnes can be transported to Mars. It is whether the resulting settlement can survive without further deliveries. Transport capacity is necessary, but it is not the same as independence.
The most practical route begins with measurement. Establish which systems are closed and which remain dependent on imports. Improve food and waste cycles on Earth. Develop local manufacturing around a compact industrial seed. Reduce unnecessary interfaces. Reuse landed hardware. Compare transport options with consistent assumptions. Advance the population only as life support, production and human safety permit.
The source paper’s combined model estimates that a 1,000-person settlement might need only a small fraction of the million-tonne plan if local production works as assumed. The estimate is worth investigating, but it is not yet a validated mission budget. Its strongest contribution is the question it puts first: what must still come from Earth, and why?
The proposed weight effect belongs in a separate research track. It has a defined experimental question, but its physical basis remains open. It should neither be presented as established science nor used to justify a transport architecture. The settlement programme can make substantial progress without it.
A robust Mars programme should therefore be steered by verified capabilities. Count the loops that work, the parts that can be made locally, the failures that have been removed and the generations of equipment that have been demonstrated. Tonnage and cost should follow from those results. The goal is not simply to deliver a city. It is to build one that can continue to function when Earth is no longer supplying it.
Annotated reference list
The annotations below explain the role of the sources in the argument. As in the source paper, some entries are cited through secondary reports. Such sources should be checked against the original publication before being used to support a critical engineering decision.
A. Theoretical framework and methods
B. Mars settlement goals and transport
C. Closed life support and food production
D. Local manufacturing and Martian resources
E. Propellant, water and transport infrastructure
F. Habitats, health and human factors
G. Tests relevant to the proposed weight effect
J.Konstapel,Leiden,18-10-2026

Jump to the scientific article here
J.Konstapel, Leiden,16-10-2026.
Europa’s batterij-industrie worstelt met een afhankelijkheid van Chinese machines en technici, wat leidt tot faillissementen en vertragingen bij fabrieken zoals Northvolt en ACC.
Nederland kiest daarom voor een nichestrategie: het ontwikkelen van eigen productieapparatuur, componenten en onderzoeksconsortia via BCC-NL en het groeifondsprogramma ‘Material Independence & Circular Batteries’.
De blog analyseert deze inspanningen met een theoretisch ‘vacuum net’-model, dat de fundamentele grens van alle batterijchemie beschrijft: elke energiedichtheidswinst gaat gepaard met een grensvlak dat onder spanning staat en kan breken.
Het model voegt toe dat batterijen geen energie ‘bevatten’, maar een tijdelijke toestand zijn die meetbaar is via een ‘hold time’-ladder, en biedt concrete ontwerpaanwijzingen om grensvlakken te stabiliseren.
based on Blog: The future of Batteries.
On 16 October 2026, Het Financieele Dagblad described Europe’s attempt to make batteries without China. The article’s conclusion was blunt: the difficulty is not the chemistry, it is the machines. European battery factories buy their production equipment from China, and the knowledge needed to run that equipment comes with it — in the form of Chinese technicians who stay on the factory floor.
The record supports this. Northvolt bought about 1,200 machines from the Chinese supplier Wuxi Lead, kept hundreds of Chinese technicians far longer than planned, and went bankrupt in March 2025. ACC still struggles with scrap rates; in September 2026, Stellantis halted two French car plants for lack of ACC cells, and ACC flew in a team of experts from China. PowerCo runs its Salzgitter plant almost entirely on Chinese machines, with roughly 200 supplier specialists on site. Verkor lost its anchor customer after eighteen months of delay.
The numbers behind the headlines are stark:
Since 9 October 2025, the problem has had a legal edge as well. China’s MOFCOM Decision No. 58 places under export licence: cells of 300 Wh/kg and above, cathode material and artificial graphite, and the machines for winding, stacking, filling, hot pressing and formation. The licence requirement was suspended until 10 November 2026. Whether it stays suspended is a decision made in Beijing, not in Brussels.
The Dutch response was not improvised yesterday. In 2022 the national Action Agenda set a goal: by 2030, Dutch machine builders supply the European gigafactories. The cabinet deliberately chose components, machines and niches — not a domestic cell gigafactory. A letter to parliament of February 2026 repeats that choice. The FD article describes the execution of a decision taken four years ago.
The network behind it:
The Dutch research effort divides into eight lines: silicon and carbon anodes (LeydenJar, E-magy, CarbonX, LionVolt); solid state and electrolytes (Thionics, Twente, Utrecht, Delft, Eindhoven); sodium-ion (NANEXBAT, Alfen with CATL in Almere); long-duration storage (Ore Energy, Elestor, AquaBattery); production equipment (SALD, SparkNano, Kalpana, Powall, TNO Holst Centre); recycling (SK tes, Back to Battery); the interface inside the cell (BatteryNL, ANION); and storage in a wall (Twente, Groningen).
A few people hold the network together — Marnix Wagemaker (Delft), Mark Huijben (Twente) and Moniek Tromp (Groningen) each sit in several consortia; André Schilt connects TNO Holst with BCC-NL, and Holst has spun off LionVolt, LeydenJar and SALD.
The gaps are just as telling. No Dutch party was found working on: inline measurement on foil and coating at production scale (the skill exists in chip metrology — Nearfield raised €330 million in June 2026, but for chips); current without applied voltage in an asymmetric cavity; or logic and storage on three values (+1, 0, −1). Lithium-sulfur and quantum batteries are also absent.
This essay reads the battery through a theoretical model — the vacuum net — and asks what follows for how batteries are made, measured and used.
Imagine a fishnet under tension. Strands run through it and cross; where windings hold each other there is a knot; between strands there are meshes — openings with a size and a direction. The vacuum net theory reads the vacuum itself as such a net, built on five axioms:
Three objects follow. A winding is a strand returning on itself in phase: that is energy. A knot is windings holding each other in three directions: that is mass. A mesh is an opening between strands. Power, being energy per unit of time, scales with one over the open size of a mesh.
Two rules do the work in this essay:
In everyday speech a battery “contains” energy. In the net it does not. Energy is a closed motion, not a substance in a jar. A battery is a state that is held for a time — and a hold time can be measured.
That measurement produces a ladder. Each rung has its own carrier:
| Hold time | Carrier | Dutch work |
|---|---|---|
| Seconds | Flywheel, supercapacitor, polar wall | Twente (dielectric films); Wang, Delft (MXenes) |
| Hours | Lithium-ion, sodium-ion | LeydenJar; NANEXBAT; Alfen |
| Days | Iron-air, salt, flow | Ore Energy; Elestor; AquaBattery; SLDBatt |
| Months | Molecules | Hydrogen pilots |
No rung replaces another. The public grid fuses all phases into one — what is generated is used at the same instant, hold time zero. A cell asked to bridge days does the work of another rung, and that is why it grows heavy, expensive and dependent on scarce material.
The lines of battery research differ in chemistry, but they meet the same limit. Every gain in energy density comes from an electrode that changes shape, and the boundary layer must follow that change without breaking:
Each boundary joins two structures that close differently — crystal and liquid, metal and ceramic, lattice and film. By the window rule, such a boundary is an open window: it stands under tension and does not stay unless something keeps closing it.
The rule does not say why a seam breaks. It says which configurations persist. That is enough to turn the seam into three design questions: Where is the seam? Can it be laid so that fewer windows stay open? And can the motion take place in a mesh — an open space — rather than in the seam itself?
The rules were set against numbers that Dutch and international groups have published.
Closure orders crystal orientations. Crystal directions are written with three Miller indices; for the low-index directions these are trit triples, so the window rule applies directly. Of the ⟨100⟩ family (6 members), none close; of ⟨111⟩ (8 members), 2 close; of ⟨110⟩ (12 members), 6 close. An open direction carries passage; a closed direction holds. The rule therefore predicts transport through a film in the order ⟨100⟩ > ⟨111⟩ > ⟨110⟩.
The measurements agree:
The coupling at a wall is a quantity of that wall. The theory’s coupling law reads Δg/g = γδ, where δ is the relative change in density and γ is a state function of the wall, not one universal number. Palasantzas’s group in Groningen measures Casimir forces on phase-change films:
Passage scales with one over the gap. Garret Moddel’s group in Colorado measured current without applied voltage across metal-insulator-metal junctions carrying optical cavities from 33 to 1,100 nm. The current rose as the cavity grew thinner. Maclay’s fit (2024) shows conductance proportional to 1/L — the exponent of the passage rule.
A polar wall holds about one mesh energy per lattice cell. The Twente multilayer of Nguyen, Koster and Rijnders stores 128.4 J/cm³ at 81 percent efficiency. With a lattice parameter of 4.15 Å, that is 9.18 × 10⁻²¹ J per cell — 0.97 of one mesh energy. The best films reported up to October 2026 hold between one and 1.65 mesh energies per cell.
Room instead of grip. LeydenJar’s silicon columns, E-magy’s pores and LionVolt’s 3D pillars all leave room for the swelling — in the fishnet image, the motion goes into the mesh, not into the knot. Single-crystal cathodes, which have no internal seams, outlast polycrystalline ones by a wide margin (Dalhousie–Tesla, 2022).
Where the readings stand:
| Reading | Status |
|---|---|
| 9 of 27 windows close; 0/6, 2/8, 6/12 per family | counted, exact |
| Orientation order (100) > (111) > (110) | agrees in two spinels |
| γ at a wall is a quantity of that wall | GST 5.9; AIST 3.3–4.8 |
| Conductance ∝ 1/L | agrees with Moddel’s series |
| Polar walls hold about one mesh energy per cell | Twente 0.97; best films up to 1.65 |
| A battery boundary is an open window | reading |
| Life follows the count of open windows | hypothesis, not yet measured |
The net places the limit of the battery at the seam — and the Netherlands is strongest exactly there. BatteryNL is devoted entirely to the electrode-electrolyte interface; Twente grows crystal films one atomic layer at a time and measures them while they grow; Delft watches lithium move through the interface with neutrons; Eindhoven has the densest cluster of thin-layer equipment builders in Europe; and the chip supply chain has made the country a world leader in measuring and controlling thin layers. That is a different strength from the “paint robot” in the FD headline — and it is the strength the net speaks to.
1. Ranking the seam before it is grown. The window rule ranks crystal orientations by their open fraction before a single film is grown, and it got the order right in two spinels. One experiment would turn this into a design tool: grow all three orientations of one electrode at equal surface area and measure life and rate. Huijben’s group has the films and the pilot line; Wagemaker and Bannenberg in Delft have the instruments to watch the seam while the cell runs. The same count extends to any interface whose two sides can be written as trits — every new coating, interlayer or epitaxial stack gets a ranking at no cost.
2. The coupling of a wall as a design quantity. With γ known per wall, the change in coupling follows from a density measurement alone. That makes γ measurable for any wall that changes density: a phase-change film, an interphase that densifies during formation, a coating that compacts. Palasantzas has the force set-up; Wagemaker’s neutron depth profiles give the density of a plated layer during operation. Together they would give γ for the interphases that decide a cell’s life.
3. Making without the heat step, outside the licence list. A conventional electrode is a slurry coated on foil and dried in long ovens. The drying step alone costs 11.02 kWh per kWh of cell capacity and 27–48 percent of all factory energy; counting yield, each good kWh carries up to 58 kWh of factory energy — a cell must be fully discharged 23 to 58 times before it has returned the energy of its own production.
The net describes making as a three-step cycle: soften (bring the local state near its tipping point), write (impose a mesh, a layering, an asymmetry), harden (return the state so that only closing windings remain). Hardening selects; it does not place. Processes that work layer by layer, at low temperature, follow this cycle directly.
The machines China has licensed belong to one process order: mix, coat, dry, press, wind or stack, fill, form. Four process families do not appear on the list — plasma deposition (LeydenJar), spatial atomic layer deposition (SALD, SparkNano, Kalpana, TNO Holst Centre), thin-film cells (Huijben, Energy01), and electrodeposition. Each is already Dutch. The FD plan rebuilds the existing order from Dutch coaters and laminators, but that order still contains the licensed steps. A second route chooses the processes that do not need them. It is less mature, it touches the Chinese list less, and it plays directly to Dutch strength.
4. The loop instead of the hand. The FD article names the real difficulty: a machine does not run by itself; the knowledge sits in the people who tune it. Fraunhofer FFB puts first-years gigafactory scrap at 15–30 percent, and each percentage point costs about €30,000 per day — €10.95 million per point per year. At 20 percent scrap that is €219 million a year.
In the net, a state that holds itself is a closed loop. A loop that moves one setting until the output is at its maximum, then holds it there, needs no operator. Where the state of each layer is measured inline and the setting follows, the knowledge sits in the loop — not in the hands of technicians flown in with the machine. This is the thin spot of the Dutch network: the skill exists in chip metrology, the battery application is missing. Joining the two would address the cause of Northvolt’s and ACC’s troubles directly.
5. The wall that holds in three states. A ferroelectric wall has three polarisation states — P+, P0, P−: a trit. The Twente films already store about one mesh energy per lattice cell, and no ion moves house, so there is no seam that changes with every cycle. Twente and Groningen (10X-Factor(y), €30 million) hold the materials. What the net adds is the register: a wall with three states can hold and pass on +1, 0 and −1 directly. Storage and logic on three values are not yet worked on in the Netherlands.
6. Passage instead of stock. One mesh at the natural size holds 9.51 × 10⁻²¹ J; one passage per natural time unit gives 6.25 × 10⁻⁵ W per mesh. Moddel’s patent reports 1.4 pW from an active junction of 0.02 µm² — about 70 W/m², or a coupling η of 2.3 × 10⁻⁹ of the full mesh rate. That η, the share of what the mesh closes that leaves as current, is the one parameter that decides how far this route goes. No Dutch group works on it; Palasantzas, AMOLF and Schall have the cavities, the walls and the tipping point as a knob.
Two conditions carry the boldest scenario: Moddel’s 70 W/m² must be reproduced, and stacked layers must add. The rest rests on what is already measured.
Less is asked of the cell. When storage follows the ladder of hold times, each rung does its own work. The cell no longer bridges days; it becomes smaller, lighter and less dependent on cobalt, nickel and graphite. A good part of the demand that drives gigafactories falls away, and storage moves from a remote park to the street, the house and the district.
The seam is designed, not suffered. A cell is built from the seam outward. Orientations, interlayers and coatings are ranked before they are grown; the coupling of each wall is known from its density. Life becomes a design target instead of a test outcome after years. Single crystals, epitaxial films and columns with room for motion become the rule rather than special cases.
Factories without fire, near the user. Making by soften-write-harden needs no ovens tens of metres long and no dry rooms. A line that deposits layer by layer at low temperature is small; it fits in a city rather than on the edge of a country. The gigafactory, built around the oven and the formation hall, is no longer the natural form of making a cell. The scale of production follows the scale of use.
The knowledge sits in the loop. Where every layer is measured as it forms and the setting follows, the line holds itself. The knowledge no longer travels with foreign technicians. Scrap falls — and with it the €10.95 million per percentage point per year. A licence decision in Beijing then reaches the spare parts of a machine, not the know-how of a line.
The wall holds and computes. A wall with three states holds energy without moving ions, and holds a trit. Storage and register become one structure, and the fastest rung of the ladder is served by walls that do not wear.
Passage instead of stock. If the passage holds, the change is largest. A house needing 1,450 W continuously needs 20.7 m² of one layer at 70 W/m² — or a plate of about 45 by 45 cm with 100 layers. Such a plate delivers 34.8 kWh per day, where a battery holding one such day at 250 Wh/kg weighs 139 kg. A drone needing 1 kW needs 0.14 m². The battery then stops bridging energy; it only catches peaks — a small buffer in the meter cupboard, the drone, the tool.
What it means for people. In Eindhoven, laboratory staff at LeydenJar assemble test cells by hand all day, at a 95 percent pass rate; in a line that holds itself, their work moves from tuning by feel to reading a state. In Skellefteå, a town of 75,000 built its future on Northvolt and lost 1,000 jobs in one round of cuts, beside technicians from Wuxi who lived in their own camp; a factory without fire, near the user, is less likely to tie a whole town to one plant. In Debrecen, residents raised concerns about CATL’s plant, and in early 2026 the authorities closed parts of it after nine employees were exposed to nickel; a cell asked to do less carries less nickel. In Ukraine, the drones soldiers carry run mostly on Chinese cells, and a licence decision reaches their front line; a plate that delivers continuously would end that dependence. In the household, the base load would no longer depend on a cable, a substation or a battery park — what disappears is the long chain of mine, refinery, gigafactory, ship and grid; what remains is the house and its plate.
Van Wijnen, J. F. (2026). “Europa maakt batterijen desnoods met een verfrobot om los te komen van China.” Het Financieele Dagblad, 16 October. https://specials.fd.nl/europa-maakt-batterijen-desnoods-met-een-verfrobot-om-los-te-komen-van-china
Why read? LeydenJar, the gigafactories and the Dutch machine plan in one story — the occasion of this essay.
Bits&Chips (2 October 2025). “LeydenJar partners with Chinese firm to scale silicon-anode batteries.” https://bits-chips.com/article/leydenjar-partners-with-chinese-firm-to-scale-silicon-anode-batteries/
Why read? LeydenJar’s partnership with Highpower, which the FD does not mention.
The Local Sweden (2 February 2026). “Northvolt lost ten months due to gamble with untested Chinese machines.” https://www.thelocal.se/20260202/northvolt-lost-ten-months-due-to-gamble-with-untested-chinese-machines
Why read? What it costs when the knowledge sits in someone else’s machines. Read with the next item.
The Local Sweden (27 September 2024). “‘It was terribly mismanaged’: Former Northvolt workers call for accountability.” https://www.thelocal.se/20240927/it-was-terribly-mismanaged-former-northvolt-workers-call-for-accountability
Why read? The counter-voice: former engineers who place the cause in preparation and management.
electrive (30 September 2026). “Battery shortage: Stellantis pauses EV production in France.” https://www.electrive.com/2026/09/30/battery-shortage-stellantis-pauses-ev-production-in-france/
Why read? The ACC shortage and the Chinese experts.
Industriemagazin (14 October 2026). “Volkswagen: Die chinesische Abhängigkeit hinter der großen Batterie-Wette.” https://industriemagazin.at/automobil/volkswagen-die-chinesische-abhaengigkeit-hinter-der-grossen-batterie-wette/
Why read? Gotion’s role in PowerCo from 2021 to now, with the 35 percent price gap.
Herbert Smith Freehills Kramer (November 2025). “China suspends export controls on lithium-batteries and artificial graphite anode materials.” https://www.hsfkramer.com/notes/mining/2025-posts/china-suspends-export-controls-on-lithium-batteries-and-artificial-graphite-anode-materials
Why read? The legal reading of MOFCOM Decision No. 58 and its suspension.
Fred Gao, Inside China (9 October 2025). “China Implements New Export Controls on … Lithium Batteries, and Artificial Graphite Anode Materials.” https://www.fredgao.com/p/china-implements-new-export-controls
Why read? The list of controlled machines, step by step. Basis for section 5, contribution 3.
IEA (2026). Global EV Outlook 2026 — Electric vehicle batteries. https://www.iea.org/reports/global-ev-outlook-2026/electric-vehicle-batteries
Why read? Who makes which share of the world’s cells. Reading advice: the figure on capacity by headquarters.
BCC-NL, team and partners. https://batterycompetencecluster.nl/team
Why read? Who carries the cluster and who leads which pillar.
Nationaal Groeifonds. “Material Independence & Circular Batteries.” https://www.nationaalgroeifonds.nl/overzicht-lopende-projecten/thema-energie-en-duurzame-ontwikkeling/material-independence—circular-batteries
Why read? The programme lines, goals and money.
Nationale Actieagenda Batterijsystemen 2026. https://batterycompetencecluster.nl/fileadmin/Battery_Competence_Center/NAB_magazine_2026_Digitaal.pdf
Why read? Themes, moonshots and the 37 contributing organisations.
BCC-NL. Feasibility study on cell-production equipment. https://batterycompetencecluster.nl/fileadmin/Battery_Competence_Center/Battery_Cell_Production_Technologies.pdf
Why read? The Dutch side of the “paint robot” plan.
Expertgroep Batterijen (September 2022). Management summary, Actieagenda Batterijsystemen. https://oostnl.nl/sites/default/files/attachments/MANAGEMENTSAMENVATTING-ACTIEAGENDA-BATTERIJSYSTEMEN.pdf
Why read? The 2030 goal for Dutch machine builders, on one page.
TU Delft. BatteryNL. https://www.tudelft.nl/en/2022/tnw/in-search-of-the-coveted-safe-better-longer-lasting-battery-batterynl
Why read? The consortium devoted entirely to the seam. Basis for contribution 1.
Holst Centre. “Next-gen Equipment for Batteries and Battery Materials.” https://holstcentre.com/insights/news/next-gen-equipment-for-batteries-and-battery-materials/
Why read? Who builds the Dutch equipment for the new process families.
Holland High Tech. D&M Vacuumsystemen and TNO, dry coating without a dry room. https://www.hollandhightech.nl/en/programmes-and-projects/projects/novel-dry-coating-equipment-with-controlled-environment-for-cost-and-energy-efficient-high-performance-battery-electrode-manufacturing
Why read? A Dutch machine that removes the dry room.
Konstapel, J. (2026). “The Vacuum.Net Theory: Complete Derivation.” constable.blog, 28 September. https://constable.blog/wp-content/uploads/vdefThe-Vacuum.Net-Theory.pdf
Why read? Axioms, definitions, natural units and the mesh energy. Read the status table at the end first.
Konstapel, J. (2026). “The Grid That Cannot Hold.” constable.blog, 31 August. https://constable.blog/2026/08/31/the-grid-that-cannot-hold-what-is-wrong-with-the-electricity-system-the-thinking-errors-behind-it-and-the-simple-net-alternative/
Why read? The four phases, the hold time τ and the ladder. Basis for sections 3 and 6.
Konstapel, J. (2026). “Applied Vacuum Theory, Parts Two to Four.” constable.blog, 25–27 September. https://constable.blog/2026/09/25/applied-vacuum-theory/
Why read? Soften-write-harden, the self-tuning loop and power = 1/S. Reading advice: Part Four, on energy without a reservoir.
Konstapel, J. (2026). “A Wall with Three States.” constable.blog, 12 October. https://constable.blog/wp-content/uploads/v2A-Wall-with-Three-States-Perovskites-the-Trit-Cube-and-the-Open-Side-of-the-Mesh.pdf
Why read? The ferroelectric wall as a trit. Basis for contribution 5.
Konstapel, J. (2026). “What the Path Gives and What Its Description Gives.” Version 1, 16 October.
Why read? Why γ is a state function and not one universal number. Basis for the reading of the Groningen films in section 4.
Hassanzadeh, Atul, Wang, Kooi, Tajik, Palasantzas (2025). Physical Review B 112, 155403. https://doi.org/10.1103/zlvn-r3jy
Why read? The GST force contrast of about 40 percent.
Torricelli, van Zwol, Palasantzas et al. (2010). Physical Review A 82, 010101(R). https://arxiv.org/abs/1006.4065
Why read? The first switchable Casimir force, with AIST.
Njoroge, Wöltgens, Wuttig (2002). Journal of Vacuum Science and Technology A 20, 230.
Why read? The densities of amorphous and crystalline GST that give δ.
Hendriks, Huijben et al. (2018). ACS Applied Energy Materials. https://doi.org/10.1021/acsaem.8b01477
Why read? LiMn₂O₄ in all three orientations; (100) best.
Huijben et al. (2022). “Self-assembled epitaxial cathode-electrolyte nanocomposites.” ACS Applied Materials & Interfaces. https://research.utwente.nl/en/publications/self-assembled-epitaxial-cathode-electrolyte-nanocomposites-for-3/
Why read? Retention and surface share per orientation. The closest existing data to the ranking of contribution 1.
Cunha et al. (2019). Orientation-dependent Li₄Ti₅O₁₂ thin films.
Why read? The three-orientation capacity series that follows the closure order. Reading advice: compare at the same C-rate.
Nguyen, Birkhölzer, Houwman, Koster, Rijnders (2022). Advanced Energy Materials 12, 2200517. https://doi.org/10.1002/aenm.202200517
Why read? 128.4 J/cm³ in a Twente multilayer: one mesh energy per lattice cell.
Lv, Wagemaker et al. (2018). Nature Communications.
Why read? Plated lithium seen with neutrons during operation. The instrument for the density of a seam in contribution 2.
Zheng, Zhao, Archer et al. (2019). “Reversible epitaxial electrodeposition of metals in battery anodes.” Science 366, 645. https://news.cornell.edu/node/315386
Why read? An underlayer that sets the direction of growth; cycles rise tenfold.
Dalhousie University / Tesla (2022). Single-crystal NMC532 cells. Journal of the Electrochemical Society. https://electrek.co/2022/05/24/tesla-battery-research-paper-high-energy-density-battery-last-100-years/
Why read? A crystal without internal seams and its very long life.
Schütte, Degen, Walter (2024). Batteries 10(2), 64. https://www.mdpi.com/2313-0105/10/2/64
Why read? Energy per production step per kWh of cell. Source of the 11.02 kWh in contribution 3.
Fraunhofer FFB. “The ramp-up of a gigafactory in battery cell production.” https://www.ffb.fraunhofer.de/en/press/news/the-ramp-up-of-a-gigafactory-in-battery-cell-production.html
Why read? Scrap rates and their cost per day. Source for contribution 4.
Moddel, Weerakkody, Doroski, Bartusiak (2021). “Optical-Cavity-Induced Current.” Symmetry 13, 517. https://arxiv.org/abs/2101.03085
Why read? The cavity series from 33 to 1,100 nm, with eight controls for artefacts.
Moddel, G. US Patent 12,166,434, “Enhanced quantum vacuum energy devices.” https://patents.google.com/patent/US12166434B2/en
Why read? The 1.4 pW and the active area of 0.02 µm² behind the 70 W/m².
Maclay, G. J. (2024). “Modeling Electronic Devices with a Casimir Cavity.” Physics 6(3), 1124–1131. https://doaj.org/article/31210466294848b0b30d3380b0056c2c
Why read? The fit of conductance against one over thickness. Maclay questions the proposed mechanism and leaves the measurement standing.
Hertlein, Helden, Gambassi, Dietrich, Bechinger (2008). Nature 451, 172.
Why read? Critical Casimir forces measured directly. The tipping point as a knob, which Schall uses in Amsterdam.
J.Konstapel,Leiden,16-10-2026.
aanleiding: Europa maakt batterijen desnoods met een verfrobot om los te komen van China
Europa wil eigen batterijen. Op 16 oktober 2026 beschreef Het Financieele Dagblad hoe het continent probeert los te komen van China: het Nederlandse LeydenJar dat in Eindhoven een celfabriek bouwt, de Europese gigafabrieken — ACC, Verkor, PowerCo, Northvolt — die hun machines in China kochten en ze niet aan de praat kregen, en een plan van het Battery Competence Cluster Nederland om uit bestaande Nederlandse machines een productielijn samen te stellen.
Achter dat artikel staat één hard feit. Op 9 oktober 2025 plaatste China een reeks artikelen onder exportvergunning (Besluit nr. 58): cellen vanaf 300 Wh/kg, dicht LFP-kathodemateriaal, kunstmatig grafiet, en de machines voor het wikkelen, stapelen, vullen, heetpersen en vormen. De vergunning werd geschorst tot 10 november 2026; of een latere Amerikaans-Chinese regeling, verlengd tot 10 januari 2027, ook dit besluit dekt, is niet bekendgemaakt.
De krant vraagt: hoe kopieert Europa de batterij? Dit essay stelt een andere vraag. Wat is een batterij als je er door de bril van het vacuum net naar kijkt — en wat volgt daaruit voor hoe we haar maken en gebruiken? Het antwoord valt uiteen in zes richtingen, die hier telkens naast het onderzoek worden gelegd dat al onderweg is. De rekenkunde wordt volledig gegeven, en een statusregister houdt aan het einde bij wat gemeten, afgeleid, gelezen of hypothetisch is.
Beeld je een visnet in: draden die elkaar kruisen. Waar windingen elkaar vasthouden, ontstaat een knoop. Tussen de draden liggen mazen: openingen met een grootte en een richting. De vacuum net-theorie leest het vacuum als zo’n net onder spanning, gedragen door vijf axioma’s: er is één draad, en elk onderscheid is die draad die zichzelf raakt (slinger); een configuratie blijft alleen bestaan als ze in fase op zichzelf sluit (sluiting); het net onthoudt de richting van wat eerst werd neergelegd (geheugen); constanten zijn toestandsgrootheden van het lokale vacuum (context); en hetzelfde patroon keert op elke diepte terug (schaal).
Uit die regels volgen drie objecten. Een winding is een draad die in fase op zichzelf terugkeert: energie, met dimensie T/S. Een knoop is windings die elkaar in drie richtingen vasthouden: massa. Een maas is een opening tussen draden — geen materie, maar wel een grootte S.
Eén gevolg is direct belangrijk: vermogen is energie per tijd, dus (T/S)/T = 1/S. Vermogen door een maas schaalt met één gedeeld door haar open grootte. Nergens in die regel komt een reservoir voor.
Verder draagt elke kruising één van drie waarden: +1, 0 of −1. Drie naburige kruisingen vormen een venster. De vensterregel zegt: een venster sluit als de som van zijn drie waarden deelbaar is door drie. Van de 27 mogelijke vensters sluiten er 9 — drie homogene ((−1,−1,−1), (0,0,0), (+1,+1,+1)), statisch en kristalachtig, en zes heterogene (de volgordes van −1, 0 en +1), die roteren en een levendige beweging dragen. De overige 18 vensters zijn open: ze staan onder spanning. En nu de zin waar alles in dit essay op draait: de grens tussen een homogene en een heterogene sluiting is altijd een open venster. Wat sluit, blijft.
In het dagelijks taalgebruik “bevat” een batterij energie. In het net bestaat dat niet: energie is een gesloten beweging, geen substantie in een pot. Een batterij is een toestand die een tijdlang wordt vastgehouden. Zo gelezen heeft ze vier fasen — laden, vasthouden, ontladen, rusten — waarvan het gewone elektriciteitsnet er maar twee kent, tot één gesmolten: wat opgewekt wordt, wordt op hetzelfde ogenblik gebruikt. De houdtijd τ van het net is nul.
Houdtijden vormen een ladder, en elke sport heeft haar eigen drager:
| Houdtijd | Drager | Stand der techniek, 2026 |
|---|---|---|
| seconden | vliegwiel, supercondensator | 30 MW-vliegwiel op het net; supercondensatoren met een miljoen cycli |
| uren | lithium-ion, natrium-ion | commercieel |
| dagen | ijzer-lucht, zand, warmte | eerste netwerksystemen (Form Energy, Ore Energy, Polar Night) |
| maanden | moleculen (waterstof) | zoutgrot-piloten |
Geen sport vervangt een andere. Een cel die dagen moet overbruggen, wordt gevraagd het werk van een andere sport te doen — en wordt daarom zwaar, duur en afhankelijk van schaars materiaal. Een batterij van 200 MW in Winschoten die vier uur vasthoudt, is 800 MWh: één houd op één sport. Ze maakt geen ladder.
De huidige onderzoekslijnen verschillen in chemie maar delen één limiet. Elke winst in energiedichtheid komt van een elektrode die van vorm verandert — en de grenslaag moet die verandering volgen zonder te breken:
| Lijn | Wat er aan de grens gebeurt |
|---|---|
| silicium-anode | volume groeit met meer dan 300%; de grenslaag (SEI) scheurt en hervormt elke cyclus |
| lithium-metaal, anode-vrij | lithium plaatst ongelijk en groeit langs scheuren en korrelgrenzen |
| solid-state | vast-vast contact raakt verloren; lithium-filamenten groeien langs korrelgrenzen |
| lithium-zwavel | tussenproducten lossen op en verlaten de kathode |
| magnesium, calcium | de grenslaag sluit af en laat geen ion meer door |
| kwantumbatterij | de koppeling die laadt, ontlaadt ook |
Elke grens uit deze tabel verbindt twee structuren die verschillend sluiten: een kristal en een vloeistof, een metaal en een keramiek, een rooster en een film. Volgens de vensterregel is zo’n grens een open venster — hij staat onder spanning en blijft niet staan, tenzij iets hem voortdurend sluit. Dit is een correspondentie, geen mechanisme: de regel zegt niet waarom een naad scheurt, alleen welke configuraties blijven bestaan. Uit de lezing volgen drie ontwerpvragen: kan de cel zo worden gelegd dat er minder vensters open blijven staan, en kan de beweging in een maas — een open ruimte — plaatsvinden in plaats van in de naad?
Ruimte in plaats van greep. LeydenJar laat silicium als zuiltjes op koperfolie groeien; de ruimte ertussen vangt de zwelling op. E-magy doet hetzelfde met poriën, LionVolt met een driedimensionale structuur. In het beeld van het visnet: de beweging gaat de maas in, niet de knoop.
Eén richting. Zheng, Archer en collega’s lieten zink epitaxiaal groeien op een dunne grafietlaag (Science, 2019). De afzetting werd omkeerbaar, en onder netwerk-schommelingen steeg het aantal stabiele cycli van ongeveer 200 tot meer dan 2.000. De onderlaag zet de richting, en de afzetting volgt. Het net heeft dezelfde regel voor ringen: een wand of zaad met de juiste richting geeft alleen de passende ring; een fles zonder richting geeft een mengsel.
Homogene sluiting. Kathodedeeltjes als enkelkristallen NMC532 overleven polykristallijne ruim. Een Dalhousie–Tesla-groep projecteerde levensduren richting een eeuw bij 25 °C (Journal of the Electrochemical Society, 2022). Een enkelkristal heeft geen korrelgrenzen, dus geen interne naden: de homogene, kristalachtige sluiting van de vensterregel.
Geen naad die moet houden. In een nikkel-waterstofcel is de ene kant een gas dat op een katalysator stuit. Er is niets dat kan scheuren. EnerVenue specificeert zulke cellen op 30.000 cycli.
De vensterregel telt open vensters, maar zet die telling nog niet om in een aantal cycli; het register van spanning dat grootheden zou moeten dragen, is nog open. De regel doet wél één ordeningsvoorspelling: neem een reeks grenslagen, tel hun open vensters en meet hun leven — de volgorde van het leven zou de volgorde van de telling moeten volgen. Die meting is niet gedaan.
Een conventionele elektrode is een pasta van poeder, bindmiddel en oplosmiddel, gesmeerd op folie en gedroogd in ovens van tientallen meters. Daarna: persen, snijden, stapelen, vullen met elektrolyt en de eerste lading — de vorming.
De energieprijs valt af te lezen aan één gepubliceerd cijfer. Schütte, Degen en Walter (Batteries, 2024) geven 11,02 kWh droogenergie per kWh celcapaciteit; drogen is in hun studie 27% van het fabrieksverbruik, dus de fabriek verbruikt in totaal 40,8 kWh per kWh cel. Andere studies stellen drogen op 47 tot 48%, wat neerkomt op 23,4 kWh. Het bereik is dus ongeveer 23 tot 41 kWh per kWh cel. Schroot maakt het erger: passeert 70% van de cellen, dan draagt elke goede kWh 40,8 / 0,70 = 58,3 kWh fabrieksenergie. Een cel van 1 kWh moet dus 23 tot 58 keer volledig worden ontladen voordat ze de energie van haar eigen fabricage heeft terugverdiend — grondstoffen nog niet meegerekend.
De vorming voegt tijd toe: drie tot zeven dagen, gevolgd door tot twee weken rijping; ze kan een kwart van de vloer en tot 30% van de maakkosten beslaan. En het gebruikelijke anodemateriaal, kunstmatig grafiet, wordt wekenlang gebakken op tot 3.000 °C.
| Proces | Wat het weghaalt | Stand, oktober 2026 |
|---|---|---|
| droge elektrode (Tesla, LEAD, Dürr) | oplosmiddel en droogoven | in productie in China en de VS; pilot in Europa |
| plasmadepositie (LeydenJar) | pasta, bindmiddel, oven | fabriek gepland voor 2027 |
| ruimtelijke ALD (TNO Holst Centre) | laag-op-laag bij lage temperatuur, ca. 1 nm per seconde | pilot-apparatuur |
| elektrodepositie van kathodemateriaal (Xerion) | calcinatie | pilot |
| koolstofnetwerk uit raffinageresidu (CarbonX) | grafitering op 3.000 °C | opschaling |
Het net beschrijft maken als een drieluik. Verweek de lokale toestand tot dicht bij haar kantelpunt. Schrijf er een maas in: een vorm, een maat, een gelaagdheid, een asymmetrie. Verhard de toestand, zodat alleen de sluitende windingen overblijven. Verharden selecteert onder configuraties die kunnen sluiten; het plaatst niets — het zet de toestand zo dat alleen het doel blijft staan.
De vorming past in de derde stap. Tijdens de eerste lading ontstaat de grenslaag: wat sluit, blijft; de rest wordt verbruikt. Snelle vormingsprotocollen bij Oak Ridge bekorten de stap minstens zesmaal — in de taal van de cyclus: een korter verharden.
Het FD-artikel noemt de eigenlijke moeilijkheid: een machine loopt niet vanzelf. De kennis zit bij de mensen die haar afstellen.
Northvolt kocht circa 1.200 machines bij Wuxi Lead en had honderden Chinese technici nodig om ze te bedienen — die weken tot 70 uur maakten, waarvoor hun werkgever in Zweden werd beboet. Na vier jaar bereikte Northvolt ongeveer 70% opbrengst; een Chinees directeur zei dat zijn fabrieken 96% halen binnen vier maanden. ACC heeft schroot als voornaamste probleem; in september 2026 moest Stellantis twee Franse autofabrieken stilleggen om gebrek aan ACC-cellen, waarna ACC een team experts uit China liet overkomen.
De prijs: Fraunhofer FFB rekent 15 tot 30% schroot in de eerste jaren en ongeveer 10% na vijf jaar. Elk procentpunt kost ongeveer €30.000 per dag: 30.000 × 365 = €10,95 miljoen per jaar. Bij 20% schroot is het verlies 20 × 10,95 = €219 miljoen per jaar.
De toegepaste theorie beschrijft een zelfstemmende maas: een lus die één instelling verschuift tot de uitgang maximaal is, en haar daar vasthoudt. Ze corrigeert drift en leest geen plek, geen tijd, geen operator en geen materiaal. De lus vervangt de hand van de maker. Ze is ontworpen, nog niet gebouwd.
Op een productielijn overgezet verschuift het zwaartepunt van de machine naar meting en regeling: waar de toestand van elke laag inline wordt gemeten en de instelling volgt, zit de kennis in de lus — niet meer bij de operator. De vooraanstaande Chinese fabrieken werken al zo: CATL rapporteert defecten op parts-per-billion-niveau, met inspectie van 1,7 seconden per cel.
En Nederland is sterk precies in dit segment: meten, positioneren en gesloten regelkringen, van de lithografieketen tot metrologiebedrijven. Dat is een andere sterkte dan de verfrobot uit de krantenkop.
Een ferro-elektrische wand als bariumtitaat heeft drie polarisatietoestanden: P+, P0 en P−. In de theorie vormen die een trit. Het teken van de perovskiet-tolerantiefactor minus één geeft dezelfde drie waarden: +1, het centrum geeft sluiting op (ferro-elektrisch); 0, rust (kubisch); −1, rotatie neemt de misfit op. Twee onderzoeklijnen slaan energie op in zo’n wand, zonder ion die moet verhuizen.
Diëlektrische opslag. Relaxor-ferro-elektrische films slaan in het laboratorium 182 J/cm³ op bij 78% rendement (Nature Materials, 2022). Er is geen naad die met elke cyclus beweegt.
Kwantumbatterijen. Moleculen die samen aan een lichtveld zijn gekoppeld, laden sneller naarmate er meer zijn. CSIRO en partners toonden in maart 2026 de eerste elektrische ontlading uit zo’n apparaat, bij kamertemperatuur; de opslag hield ongeveer een miljoen keer langer stand dan het laden. De limiet: de koppeling die laadt, ontlaadt ook. Het werkende antwoord is een donkere toestand — één kant die niet terugstraalt. Het vacuum net gebruikt dezelfde asymmetrie voor zijn generatorelement: een gesloten kant en een open kant met bewust verschillende randvoorwaarden.
Geen van beide levert energie per kilogram uit het net; de correspondentie zit in de structuur, nog niet in de getallen.
Een batterij is nodig omdat opwekking en gebruik niet samenvallen in tijd of plaats. Maar als een maas continu zou leveren op de plaats van gebruik, verandert de rol van de batterij ingrijpend: ze brugt dan geen energie meer over, maar vangt alleen pieken.
De energie tussen twee parallelle wanden op afstand L wordt gegeven door de Casimirtelling: per oppervlak π²ℏc/(720 L³). Voor één maas met oppervlak L² resteert π²ℏc/(720 L). Stap voor stap: ℏc = 3,1615 × 10⁻²⁶ J·m; maal π² = 9,8696 geeft 3,1203 × 10⁻²⁵; gedeeld door 720 geeft 4,3337 × 10⁻²⁸ J·m. Bij de natuurlijke maasgrootte van het net, S₀ = 45,588 nm, is de energie van één maas 4,3337 × 10⁻²⁸ / 4,5588 × 10⁻⁸ = 9,51 × 10⁻²¹ J. De natuurlijke tijdseenheid is T₀ = 1,5207 × 10⁻¹⁶ s; één doorgang per T₀ geeft 9,51 × 10⁻²¹ / 1,5207 × 10⁻¹⁶ = 6,25 × 10⁻⁵ W per maas. Dat is de volle snelheid; wat er als stroom uit de maas treedt, is daar een fractie van.
De groep van Garret Moddel aan de University of Colorado plaatste een optische holte aan één kant van een metaal-isolator-metaal-junctie en mat een stroom bij nul aangelegde spanning (Symmetry, 2021). Acht tests op artefacten kwamen negatief terug; de stroom steeg naarmate de holte dunner werd. Het patent (US 12,166,434) geeft een maximumvermogen van 1,4 pW; het per elektronenmicroscoop gemeten actieve oppervlak is 0,02 ± 0,006 μm². Per oppervlak: 1,4 × 10⁻¹² W / 0,02 × 10⁻¹² m² = 70 W/m² (met de oppervlaktemarge 54 tot 100).
Vergelijk dat met het net. Eén maas van 45,588 nm beslaat 2,078 × 10⁻¹⁵ m²; de junctie bevat dus 0,02 × 10⁻¹² / 2,078 × 10⁻¹⁵ = 9,6 mazen, die elk 1,45 × 10⁻¹³ W leveren. Tegen de volle snelheid is dat 1,45 × 10⁻¹³ / 6,25 × 10⁻⁵ = 2,3 × 10⁻⁹. Die fractie η is de koppeling van de open kant: het aandeel van wat de maas sluit dat als stroom vertrekt.
Een tweede apparaat: Casimir Inc. in Houston specificeert een chip van 5 × 5 mm die 1,5 V levert bij 25 μA — 37,5 μW op 25 mm², oftewel 1,5 W/m². Het is een specificatie, geen gepubliceerde meting, en per oppervlak 70 / 1,5 = 47 maal onder de junctie van Moddel.
Het volgende geldt alleen als twee dingen kloppen: 70 W/m² wordt gereproduceerd, en lagen stapelen zich op.
Vijf punten bepalen of deze rekenkunde telt:
De volgorde van de beslissende metingen volgt uit deze punten: eerst de uitgang tegen de holte-grootte, op vaste stapels van 10 tot 1.000 nm; daarna een stapel van twee lagen tegen één.
De machines die China onder vergunning plaatste, horen bij één procesorde: mengen, coaten, drogen, persen, wikkelen of stapelen, vullen, vormen. Vier procesfamilies ontbreken op die lijst: plasmadepositie, ruimtelijke ALD, dunne-film-cellen en elektrodepositie. De vorming staat er wél.
Het Nederlandse plan uit de krant volgt de bestaande orde met bestaande machines — een lijn uit coaters, foillamineerders en verpakkingslijnen — en bevat daarmee de stappen die onder vergunning staan.
Maar er is een tweede route mogelijk: processen kiezen die die stappen niet nodig hebben (zie paragraaf 4), en de Nederlandse sterkte in meting en regeling in de lus leggen (paragraaf 5). Die route is minder rijp, raakt de Chinese lijst nauwelijks, en de stukken liggen er al: LeydenJars plasmalijn, E-magy’s poreuze silicium, de ruimtelijke ALD van TNO Holst Centre, LionVolts driedimensionale cel en de proeffabriek OBIC in Helmond.
Een batterij wordt gemaakt en gebruikt door mensen.
In Eindhoven assembleren laboratoriummedewerkers in witte jassen de testcellen van LeydenJar de hele dag met de hand; ongeveer 95% slaagt. Hun vakmanschap is wat de nieuwe machines zullen moeten dragen. In Skellefteå bouwde een stad van 75.000 inwoners haar toekomst op Northvolt; in één bezuinigingsronde alleen al verloren 1.600 mensen in Zweden hun baan, 1.000 van hen daar, terwijl de technici van Wuxi ernaast werkten, in hun eigen kamp, zorgend voor de machines. In Debrecen maakten bewoners zich zorgen over de CATL-fabriek; begin 2026 sloten de autoriteiten delen ervan nadat negen werknemers aan nikkel waren blootgesteld. In Oekraïne lopen de drones die soldaten dragen nog grotendeels op Chinese cellen; een vergunningsbesluit in Peking reikt tot aan hun frontlijn.
Elk van de zes richtingen verplaatst het werk. Minder vragen van de cel verhuist de opslag van de verre gigafactory naar de straat, het huis en de wijk. Maken zonder vuur maakt fabrieken schoner en kleiner, zodat ze in steden passen in plaats van aan de rand van het land. De lus in plaats van de hand verandert wat een fabrieksarbeider doet: van afstellen op gevoel naar het lezen van een toestand die zichzelf houdt. En doorgang in plaats van voorraad verandert, als ze klopt, het meest: een huishouden zou niet langer afhangen van een kabel, een onderstation of een batterijpark voor zijn basislast — de batterij wordt een klein buffertje in de meterkast.
| Stelling | Status |
|---|---|
| Energie is een winding; vermogen = 1/S | afgeleid binnen de theorie |
| Een batterij is een houdtoestand; vier fasen; τ-ladder | afgeleid construct van de theorie |
| Vensterregel: 9 van 27 vensters sluiten | geteld (exact) |
| Een grenslaag in een cel is een open venster | lezing |
| Ruimte in plaats van greep; één richting; homogene sluiting; geen naad | correspondenties met gemeten resultaten (bronnen in de referenties) |
| Volgorde van het leven volgt de telling van open vensters | hypothese, ongemeten |
| Fabrieksenergie 23–41 kWh per kWh cel; vorming 3–7 dagen | gemeten (bronnen); hier herberekend |
| Vorming als verharden | lezing |
| Zelfstemmende lus | ontworpen, niet gebouwd |
| Schrootkosten €10,95 miljoen per punt per jaar | gemeten (Fraunhofer FFB); hier herberekend |
| Ferro-elektrische wand als trit | geteld; correspondentie een lezing |
| Maas-energie 9,51 × 10⁻²¹ J; volle snelheid 6,25 × 10⁻⁵ W | afgeleid; hier herberekend |
| Moddel: 1,4 pW op 0,02 μm² = 70 W/m² | gemeten door één groep; niet gereproduceerd |
| Koppeling van de open kant η = 2,3 × 10⁻⁹ | hier berekend uit het voorgaande |
| Vermogenshelling −1 tegenover gemeten −1,8 | open |
| N lagen geven N keer het vermogen | hypothese, nooit gemeten |
| Huisplaat, drone-oppervlak, gewicht per kW | voorwaardelijk aan de twee regels hierboven |
| Procesfamilies buiten Besluit nr. 58 | uit de tekst van het besluit |
Konstapel, J. (2026). “Wat is er Mis met een Batterij? / The Grid That Cannot Hold.” constable.blog, 31 augustus.
https://constable.blog/2026/08/31/the-grid-that-cannot-hold-what-is-wrong-with-the-electricity-system-the-thinking-errors-behind-it-and-the-simple-net-alternative/
Waarom lezen? De vierfasencyclus, de houdtijd τ en de ladder van houdtijden. De basis van paragraaf 2.
Konstapel, J. (2026). “The Vacuum.Net Theory: Complete Derivation.” constable.blog, 28 september.
https://constable.blog/wp-content/uploads/vdefThe-Vacuum.Net-Theory.pdf
Waarom lezen? Axioma’s, definities, natuurlijke eenheden en de maasenergie. Lees eerst de statustabel aan het eind.
Konstapel, J. (2026). “Applied Vacuum Theory, Parts Two to Four.” constable.blog, 25–27 september.
https://constable.blog/2026/09/25/applied-vacuum-theory/
Waarom lezen? Deel Twee geeft verweken-schrijven-verharden. Deel Drie de zelfstemmende lus. Deel Vier vermogen = 1/S en de volgorde van metingen — met name de sectie over energie zonder reservoir.
Konstapel, J. (2026). “One Direction or None.” constable.blog, 10 oktober.
https://constable.blog/2026/10/10/one-direction-or-none-mirror-molecules-the-2026-nobel-prize-in-chemistry-and-the-closure-rule-of-the-vacuum-ne/
Waarom lezen? De naadregel en het zaad met een richting. De basis van paragraaf 3.
Konstapel, J. (2026). “A Wall with Three States.” constable.blog, 12 oktober.
https://constable.blog/wp-content/uploads/v2A-Wall-with-Three-States-Perovskites-the-Trit-Cube-and-the-Open-Side-of-the-Mesh.pdf
Waarom lezen? De ferro-elektrische wand als trit en de correctie van de vermogenshelling.
Van Wijnen, J. F. (2026). “Europa maakt batterijen desnoods met een verfrobot om los te komen van China.” Het Financieele Dagblad, 16 oktober.
https://specials.fd.nl/europa-maakt-batterijen-desnoods-met-een-verfrobot-om-los-te-komen-van-china
Waarom lezen? De aanleiding: LeydenJar, de gigafabrieken en het Nederlandse machineplan in één verhaal.
Zheng, J., Zhao, Q., Archer, L. A. e.a. (2019). “Reversible epitaxial electrodeposition of metals in battery anodes.” Science 366, 645.
https://news.cornell.edu/node/315386
Waarom lezen? Het duidelijkste geval van een onderlaag die de groeirichting zet: tienmaal stabieler bij lage stroom.
Dalhousie University / Tesla Advanced Battery Research (2022). “Li[Ni0.5Mn0.3Co0.2]O2 as a Superior Alternative to LiFePO4 for Long-Lived Low Voltage Li-Ion Cells.” Journal of the Electrochemical Society.
https://electrek.co/2022/05/24/tesla-battery-research-paper-high-energy-density-battery-last-100-years/
Waarom lezen? Enkelkristal-kathodes en hun levensduur: een kristal zonder interne naden.
Schütte, A., Degen, F. & Walter, L. (2024). Batteries 10(2), 64.
https://www.mdpi.com/2313-0105/10/2/64
Waarom lezen? Energie per productiestap per kWh cel; de bron van de 11,02 kWh in paragraaf 4.
Fraunhofer FFB. “The ramp-up of a gigafactory in battery cell production.”
https://www.ffb.fraunhofer.de/en/press/news/the-ramp-up-of-a-gigafactory-in-battery-cell-production.html
Waarom lezen? Schrootpercentages en hun kosten per dag, zoals gebruikt in paragraaf 5.
KrASIA. “Northvolt’s fall: how hubris and blunders shattered Europe’s battery ambitions.”
https://amp.kr-asia.com/northvolts-fall-how-hubris-and-blunders-shattered-europes-battery-ambitions
Waarom lezen? Wat het betekent als de kennis bij de operators van andermans machines zit.
TNO Holst Centre. “Spatial ALD.”
https://holstcentre.com/expertise/materials-technologies/spatial-ald
Waarom lezen? Een Nederlandse procesfamilie buiten de gelicenseerde machinelijst.
Moddel, G., Weerakkody, A., Doroski, D. & Bartusiak, D. (2021). “Optical-Cavity-Induced Current.” Symmetry 13, 517.
https://arxiv.org/abs/2101.03085
Waarom lezen? De meting achter paragraaf 7, met haar acht controletests. Let op: figuur 4b toont stroom, geen vermogen.
Moddel, G. US Patent 12,166,434, “Enhanced quantum vacuum energy devices.”
https://patents.google.com/patent/US12166434B2/en
Waarom lezen? De 1,4 pW en het gemeten actieve oppervlak van 0,02 μm².
Maclay, G. J. (2024). “Modeling Electronic Devices with a Casimir Cavity.” Physics 6(3), 1124–1131.
https://doaj.org/article/31210466294848b0b30d3380b0056c2c
Waarom lezen? Een kritiek op het voorgestelde mechanisme die de meting overeind laat.
Hymas, K. e.a. (2026). “Superextensive electrical power from a quantum battery.” Light: Science & Applications.
https://arxiv.org/abs/2501.16541
Waarom lezen? De eerste volledige cyclus van een kwantumbatterij, en waarom de laadkoppeling ook ontlaadt.
IEA (2026). Global EV Outlook 2026 — Electric vehicle batteries.
https://www.iea.org/reports/global-ev-outlook-2026/electric-vehicle-batteries
Waarom lezen? De primaire bron voor wie welke aandeel van ‘s werelds cellen maakt.
China Prospect (2026). “China’s export controls on rare earths and battery materials.”
https://chinaprospect.com/china-export-controls-rare-earths-battery-materials/
Waarom lezen? Waarom 10 november 2026 nog in de wet staat, en wat Besluit nr. 58 dekt.
J.Konstapel,Leiden,16-10-2026
An essay based on J. Konstapel, “From Particle to Cosmos on the Net: A Reference Work on the Particles, the Earth, the Sky and the Vacuum.Net” (Constable Research, Leiden, 2026).
From Particle to Cosmos on the Net sets out to do one thing: tell the physical world through its measured cases — the masses, sizes, lifetimes, dates and counts that experiment has actually produced. The book is organised in four parts. Part I, Below the Nucleus, covers light, the electron, quarks and nucleons, neutrinos, the force carriers, the Higgs, antimatter, the constants, the measured vacuum and the lifetimes of the unstable. Part II, The Earth, follows the planet from its assembly 4,567 million years ago to its present state. Part III, The Sky, runs from the first moments of the universe to the galaxies of today. Part IV places all of it on a single scale, “the ladder”.
Two structural choices give the book its character. First, every number carries its unit and its calculation; the reader needs nothing else. Second, the book reads its history alongside a private interpretive framework, the “Vacuum.Net”: a strand that touches itself, whose closures are said to persist while their carriers are replaced. The author is explicit that this is a reading, placed beside the history rather than offered as its cause. That separation is maintained honestly, and it is what allows the measured record to stand on its own.
The scale itself is unusual and effective. The position of a length is the logarithm to base 3 of the length divided by S₀ = 4.558816 × 10⁻⁸ m — half the inverse of hydrogen’s Rydberg constant. The position of a time uses T₀ = 1.520655 × 10⁻¹⁶ s, so that S₀ = c·T₀ and a length and its period share one coordinate. One step on the ladder is a factor of three. The day sits at position 43.50, the year at 48.87, the age of the universe at 70.12. The catalogue in chapter 36 orders 2,407 such positions, and every case in the book is a row in a companion catalogue of 7,035 cases. The result is that a photon of 2.5 PeV (position −29.27) and the observable universe (71.86) can be discussed in one breath, as points on one ruler.
Part I is a history of measurement, told in the order things were measured. Light is the model case. Its speed went from Rømer’s 22 minutes across Earth’s orbit in 1676 — 24 % below today’s value — through Fizeau’s toothed wheel, Foucault’s and Michelson’s rotating mirrors, Essen’s cavity resonator, to the 1972 laser measurement, and in 1983 the number was fixed outright by the definition of the metre: 299,792,458 m/s exactly. Each order-of-magnitude gain in precision arrived with a new method. The book generalises this pattern everywhere: precision is not accumulated, it is replaced.
The same discipline applies to the photon’s other properties. Every measured property apart from speed and spin is a bound: mass below 1 × 10⁻¹⁸ eV (from solar-wind magnetohydrodynamics extended to Pluto’s orbit), charge below 1 × 10⁻³⁵ e (from the isotropy of the cosmic microwave background). The book is careful to show that published bounds differ by many orders of magnitude and that the tightest ones rest on models — a Proca photon and a Higgs-mass photon admit different limits at all.
The electron chapter carries the strongest claim of the part: the electron’s magnetic moment, g/2 = 1.00115965218059(13), measured on a single trapped electron in 2023, is the most precisely tested number in particle physics, known to 0.13 parts per trillion. Yet the book also records where precision disagrees with itself: the two atomic-recoil measurements of the fine-structure constant (caesium 2018, rubidium 2020) differ by 5.5σ, even though each is good to a few parts in 10¹⁰. Open questions are kept open. The proton-radius puzzle — muonic hydrogen’s 0.84184 fm against the pre-2010 electronic 0.8768 fm — is followed through its resolution (CODATA 2022 now recommends 0.84075(64) fm) and its residue (a 2.8σ tension remains inside the CODATA analysis).
The quark chapter makes the book’s most striking physical point with a single number: the proton weighs 938.27 MeV, but its three valence quarks weigh 9.02 MeV — 0.96 %. A 2018 lattice calculation splits the remainder into quark energy (33 %), gluon field energy (37 %), the trace anomaly (23 %) and quark masses (9 %). Mass, in other words, is not stuff; it is the binding and motion of what holds the proton closed. The neutron gets the mirror-image treatment: free, it lives 878.4 ± 0.5 s, and the beam and bottle methods still differ by 4.4σ; bound in a deuteron, it does not decay at all.
Neutrinos supply the part’s cleanest narrative arc: proposed in 1930, caught in 1956 at three events per hour from a reactor flux of 5 × 10¹³ neutrinos per square centimetre per second; missing from the Sun for decades (Homestake found a third of the prediction); restored by SNO in 2001–2002, when the total flux held at the solar value while only 34.6 % arrived as electron type — the total closes, the kind flows. The Z boson’s invisible width counts the kinds at 2.9963 ± 0.0074: three, and only three.
Part II is the most original section as a synthesis, because it treats geology the way Part I treats particle physics: as a set of measured quantities with positions on one scale. The Earth is dated from its first solids at 4,567.30 ± 0.16 million years; its core closed within about 30 million years of them (the tungsten isotope excess of the silicate shell is the receipt); the Moon followed from a late collision between 30 and 207 million years after the first solids, and the oxygen and titanium isotopes show Earth and Moon are one stock to within a few parts per million.
The record of the deepest time is not rock but crystal: single zircon grains of 4,404 ± 8 Ma, eroded from a vanished crust, carry both the age and — through their oxygen isotopes — evidence of liquid water and granite-like crust within about 160 million years of the first solids. Water, air and life are then followed as one system. Oxygen rose in three steps (the Great Oxidation Event between 2.46 and 2.06 Ga; a billion-year plateau at ≤ 0.1 % of present levels; modern levels by the Devonian, peaking near 35 % around 280 Ma). The ocean’s salinity has held near 35 g per litre for billions of years; the water in it passes through in about 3,100 years.
The closing chapters bring the record to the present, without drama and without evasion: 426.07 ppm of carbon dioxide, 1.42 times the upper bound of the last eight glacial cycles (172–300 ppmv); a sea rising at 4.4–4.75 mm per year, about twice the rate of the 1990s; an ocean that took 91 % of the heat added to the climate system; a human population of 8.09 billion carrying a made mass of 1.1 teratonnes. The book’s own reading is that these numbers count “the carbon that stands outside closed forms” — a poetic gloss, but the measurements underneath are standard and correctly cited.
Part III is a history in which almost every quantity has been measured within living memory. The universe is 13.787 ± 0.020 billion years old; its matter fills a sphere 46.5 billion light-years in radius. The first three minutes fixed hydrogen, helium (a mass fraction of 0.245 ± 0.003, agreeing with the frozen neutron-to-proton ratio of 1/7) and a trace of lithium. At 371,800 years the light was set free, and it has been measured since as a blackbody to better than 50 parts per million — varying across the sky by 3.7 × 10⁻⁵, the closure that is close but never exact, and the seed of everything later.
The same quantity is then read at two depths: the light elements give Ω_b h² = 0.02205 ± 0.00043, the background light 0.02237 ± 0.00015 — one amount of matter, seen at positions 37.88 and 60.55 on the ladder. The book records the field’s live tension without taking sides: the early universe gives H₀ = 67.4–68.5 km s⁻¹ Mpc⁻¹, the local ladder 73.0–73.5, and the ratio between them is 1.084.
Stellar physics is told as a chain of residues: hydrogen burns to helium (26.73 MeV per chain), the triple-alpha process closes two helium nuclei into carbon-12 (the beryllium-8 intermediate lasts 8.19 × 10⁻¹⁷ s — what does not close does not stay), and the elements beyond iron are built by neutron captures — slow ones at ten to a hundred years apart in dying stars, rapid ones at up to a hundred per second in mergers, where GW170817 threw out an estimated 0.078 solar masses of r-process matter. The Sun, seen from close by, dates to 4,567.30 ± 0.16 Ma from grains preserved in meteorites; its neutrinos leave the core in 2.3 s while its light takes 10,000 to 170,000 years to reach the surface — a factor of 10¹¹ in the travel times of the two carriers of the same energy.
The outer parts scale the story up without changing its grammar: 6,445 confirmed exoplanets in 4,834 systems as of October 2026, most of them between Earth and Neptune in size and orbiting in under 100 days; a Galaxy of ~2 trillion counterparts; a cosmic web of filaments, clusters and voids; and one acceleration, g† = 1.20 × 10⁻¹⁰ m s⁻², that fits 2,693 points across 153 galaxies of very different shapes — a single scale on which the Sun’s own orbit sits at 1.7 times the threshold.
Chapter 36 assembles the whole book on one axis: from the Planck length at −57.53 to the observable universe at 71.86, about 130 positions — a factor of three, 130 times over. On it, the proton’s charge radius (−16.21), the Bohr radius (−6.15), the Earth’s mean radius (29.65), the Sun’s radius (33.92), the Galaxy’s disc (59.99) and the edge of the observable universe (71.86) are points on one ruler, and the times run from the Z boson’s 2.6 × 10⁻²⁵ s (−18.36) to the age of the universe (70.12).
What does the Vacuum.Net reading add? As physics, nothing it claims to add — the author says so himself, repeatedly and plainly: “a reading is called a reading.” Its forms (what closes stays; the form lasts while its carriers are replaced; one form at three depths; loading, holding and discharge) function as an index: a way of noticing that the proton does not decay while the W does, that the neutrino flux holds while its kind changes, that the ocean’s form holds while its water passes through every 3,100 years, that the continents keep their area while their material is recycled. Whether or not one adopts the framework, the pattern-spotting it drives is consistently illuminating, and the book’s candour about the distinction between measurement and interpretation is its most professional quality.
Three criticisms are fair. First, the reliance on Wikipedia as a secondary source (the book marks it as such) is unusual in a reference work, though the primary papers are cited beside it wherever a number matters. Second, the net-text apparatus (trits, windings, knots, closure depths 41 and 53) is introduced briefly and will be opaque to readers who do not consult the author’s companion papers; the essayist’s advice is to read around it on first pass. Third, the book’s habit of stating open tensions without resolving them (α’s 5.5σ, the neutron’s 4.4σ, H₀’s 1.084) is correct practice, but a reader must bring patience.
Against this stands the achievement: a single volume in which the same intellectual procedure — measure, bound, date, count, place on the scale — is applied from the Compton wavelength to the cosmic web, in which every number shows its derivation, and in which the 20th century’s central lessons (constants become definitions; mass becomes binding energy; the vacuum becomes a measurable medium; the universe becomes a dated object) appear not as doctrine but as the accumulated result of specific experiments, each with its name, its year and its error bar.
From Particle to Cosmos on the Net is best understood as two works bound together. One is a compact, self-contained reference work of measured physical fact, from 1676 to 2026, with 1,027 sources and an unusual but coherent logarithmic index. That work succeeds on its own terms and would be worth having without the second. The second is an interpretive essay in the author’s Vacuum.Net framework, offered explicitly as a reading and kept separable from the first. The binding is the ladder: one scale, in factors of three, from hydrogen’s light to the edge of the observable universe. Its lesson is the one the book keeps repeating in different words: what closes, stays — and what stays, we can measure.
The book cites 1,027 sources, numbered [1]–[1027]. The selection below annotates the sources most used in this essay, grouped by kind. Bracketed numbers are the book’s own reference numbers.
J.Konstapel,Leiden,15-10-2026
Het boek beschouwt cultuur als één doorlopend archief, van de eerste stenen werktuigen 3,3 miljoen jaar geleden tot het huidige netwerk van zes miljard mensen.
Most histories of human culture are told as a sequence of inventions: the stone tool, the farm, the city, the script, the machine. This book takes a different position. It treats culture as one continuous record — from the first broken stones in Kenya 3.3 million years ago to a present in which six billion people share a single network — and reads that record against a small set of recurring forms drawn from one model, the “Vacuum.Net.”
The book’s method is an audit rather than a narrative. Every claim carries a date, a size, a count, and a source. Every length and duration is placed on one logarithmic “ladder” in which each step is a factor of three (the day sits at position 43.50, the year at 48.87, a generation of 26.9 years at 51.87). The result makes genuinely comparable things that are usually told in separate genres: a business cycle, a dynasty, and an orbital cycle end up on one scale.
The central proposition is compact enough to state in one line: what closes, stays. A form that achieves closure — a stone edge, a cell membrane, a city wall, a script — persists while its carriers are replaced, generation after generation. Beside it stand three companion forms that recur through the whole book: the residue of one depth becomes the alphabet of the next; a new kind of union opens once and is then filled many times; and reading keeps the relations and drops the rest.
The book is explicit that the model is a lens, not a cause: the forms are “read in the history… described beside it, not as its cause.” This essay follows the book’s own three-part structure — the long beginning, the kinds of culture, and what lies ahead — and closes with an assessment.
Before culture (ch. 1). The record begins before Homo sapiens. At Lomekwi 3 in West Turkana, worked stones lie in place at 3.3 million years ago — 700,000 years older than the Oldowan industry long taken as the start of technology. The makers were not yet our genus: the oldest Homo jaw, from Ledi-Geraru in the Afar, is only 2.8–2.75 million years old. Tool-makers left Africa early, reaching the Chinese Loess Plateau by about 2.1 Ma and the Caucasus (Dmanisi) by 1.85–1.78 Ma.
The handaxe follows. The earliest measured Acheulean assemblage lies at Garba IV, Melka Kunture, Ethiopia, around 1.95 Ma — in levels only 50,000 years above the Oldowan, showing that the new form opened before the old one closed. At Olorgesailie in Kenya the tradition was practiced for roughly 800,000 years through at least sixteen major environmental shifts; regionally the Acheulean ended between about 174 and 50 ka, at different times on different continents. The makers of the late handaxes were not the makers of the first: the form lasted; its carriers were replaced.
The same stretch delivers fire burned in place at Wonderwerk Cave about 1.0 Ma, fire made with pyrite at Barnham about 400 ka, the first engraving (a shell from Trinil, Java, 540–430 ka, by Homo erectus), the first hafted compound tools (Kathu Pan 1, ~500 ka), the first joined wood (the notched logs of Kalambo Falls, at least 476 ka — a structure, not a tool), and the hunting spears of Schöningen, re-dated by amino acid geochronology to about 200 ka. Fire also changed the energy budget of a person from about 3.5 GJ per year (the body’s own 111 W) to 7–15 GJ — the first doubling of human energy capture.
The Neanderthals (ch. 2). A parallel human line lived from the Atlantic to the Altai, few in number (effective population 3,000–12,000), with brains as large as ours, a hyoid bone matching ours, tar-hafted tools at the North Sea coast, and a tool tradition — the Mousterian — that lasted more than a quarter of a million years and ended with them, between 41,030 and 39,260 cal BP.
The other humans (ch. 3). Between about 300 and 50 ka, at least eight lineages of Homo lived at once: Denisovans, late H. erectus, Homo naledi, the small humans of Flores and Luzon. The chapter frames them with a genetic bottleneck of about 1,280 breeding individuals, 930–813 ka, and ends with the meeting of all these lines inside living genomes.
Sapiens in Africa (ch. 4). The oldest fossils lie at the ends of the continent: Jebel Irhoud in Morocco at 315 ka, Florisbad at 259 ka, Omo and Herto in Ethiopia. Modern brain size came first; the modern globular shape only in fossils younger than 35 ka. The Middle Stone Age delivers, each first in one place and then in others: pigment, beads, engraved signs, a drawing, the bow and arrow, poison, bedding, and the care of the dead.
Out of Africa (ch. 5). Early presences outside Africa stand at Apidima (>210 ka) and Misliya (≥177 ka); the lasting exit populated every continent except Antarctica within about 60,000 years — into Sahul by perhaps 1,300–1,550 founders, and across the Americas as far as the White Sands footprints in New Mexico, dated to ~21,000 years ago — and the last large lands, Madagascar, Iceland, Aotearoa, only in the last 1,400 years.
Hunters and gatherers (ch. 6). Foraging filled 95% of the species’ history. The comparative measures: a mean experienced band of 28.2 adults across 32 societies, most band members not genetically related, kinship patterns like those of Sunghir 34,000 years ago, and a repertoire of settled foragers — Jōmon, Natufian, Göbekli Tepe, Amazonia, the Arctic and the Pacific Northwest.
Settling and farming (ch. 7). Villages and monuments came before farming: the Natufians lived in half-sunken huts for over 2,000 years and ate bread 4,000 years before agriculture. Domestication then began independently in at least eleven regions with different species — wheat and barley in southwest Asia, millet and rice in China, taro in New Guinea, maize in Mexico, manioc in Amazonia, potato and llama in the Andes.
The first cities and states (ch. 8). Here the book’s second signature form appears: the village, itself closed and durable (median occupation in the Fertile Crescent about 1,000 years), became one letter of a larger closure — the city, then the state. Uruk grew from 20 to 600 hectares within a millennium. Six regions formed primary states independently, each when rule first reached beyond a day’s round trip. Egypt’s state form held for ~2,500 years through dynasties with a median length of 127 years; China’s through 21 houses. Over 4,919 years the largest polity grew 355-fold — not smoothly, but in long plateaus broken by sudden rises, with clustered collapses around 2200 BC (Akkad, the Old Kingdom, Harappan urban life). The record keeps relations and drops the rest: 85.6% of Uruk’s tablets were administrative; Teotihuacan’s plan kept the sun for 850 years.
Part II tells each kind of culture as its own history, first trace to present.
The sacred (ch. 9) begins with the care of the dead — ochre, beads, dug pits (with the Homo naledi burials presented alongside their published rebuttal) — and runs through the Natufian graves, the megaliths of Atlantic Europe, the moralizing gods of the Axial Age, the great temples and pilgrimages, to the present counts of adherents by tradition.
The spiritual path (ch. 10) is measured comparably: in a survey of 488 societies, 437 — about 90% — had institutionalized trance. Texts on method begin in India in the first millennium BCE; in the last half-century the path entered the laboratory, with thermometers on Tibetan monks practicing tummo heat yoga and electrodes on long-term meditators.
Music and dance (ch. 11) runs from the debated Divje Babe flute (presented with both readings) and the certain Swabian Jura flutes (>35 ka) to 253 million recorded tracks, with about 106,000 new tracks arriving each day. Whale and birdsong show that learned, transmitted song is not exclusively human: humpback song was transmitted population to population across the Pacific for 11 years.
Image (ch. 12) opens with the Trinil engraving and Ice Age caves (Sulawesi, at least 51,200 years) and ends with about 1.9 trillion photographs taken in 2024. An image is the book’s plainest case of reading: “a homomorphic image: it keeps the relations and drops the rest.”
Building (ch. 13) runs from the Kalambo Falls joint through Djoser and Khufu to a tower of 828 m, tracking size on the ladder. The Pantheon’s dome, self-healing in its lime, still stands after nineteen centuries — form and carrier in concrete.
Cities (ch. 14) states its thesis in one line — “a city is a place that holds its form while its people pass through” — and traces the largest city through 5,000 years to a ceiling that held at roughly one million inhabitants for some 1,800 years (from ancient Rome to Beijing), before industrial energy broke it.
The shaped landscape (ch. 15) follows fields, canals, terraces and raised beds to the share of the Earth that people hold now. Canal irrigation began independently in at least four regions; the qanat of Gonabad has delivered water for some 2,700 years and still serves about 40,000 people, and the Budj Bim eel channels in Australia are at least 6,600 years old. Amazonia holds ~4,700 forest islands shaped by pre-Columbian hands, and the American demographic collapse after 1492 (about 90% of 60.5 million people) let forest regrow over 55.8 million hectares, drawing CO₂ down 7–10 ppm. Today humanity appropriates 23.8% of land’s primary production (HANPP) — a landscape that is, measurably, one human artefact.
Language and writing (ch. 16) moves from the Kebara hyoid and FOXP2 (with both the original selection claim and its later reanalysis) through 7,159–7,674 living languages in 246 families to writing’s four independent inventions — Mesopotamia, Egypt, China, Mesoamerica — where, as in Mesopotamia, the number signs come before the other signs. Compression is the signature of the line: roughly 800 proto-cuneiform signs collapsed to 22 Phoenician letters (a factor of 36), and from Brahmi grew 198 scripts. The Cherokee syllabary made a majority literate within 3–5 years; worldwide, literacy rose from 12.05% (1820) to 87.74% (2024). Across 17 languages, spoken information flows at a strikingly uniform ~39 bits per second.
Number and mathematics (ch. 17) starts with counting older than writing (the Lebombo bone, ~42 ka), passes Babylonian base-60 and the tablet YBC 7289 — √2 computed to six decimal places in clay — and notes that zero was invented three times (Babylon, the Maya, and India/Cambodia, in stone by 683 CE). Madhava of Kerala carried π to eleven places centuries ahead of Europe. The line ends with a world literature of nearly five million items (zbMATH, ~125,000 added yearly) and Setun, the Soviet balanced-ternary computer that counted in +1, 0 and −1 — the same three values the book’s own model takes as elementary.
Knowing nature (ch. 18) follows two lines: the sky, from Nabta Playa’s solstice circle (~4800 BC) through Newgrange, the Nebra disc, Chankillo’s thirteen towers, Teotihuacan’s 260+105-day count, the Antikythera mechanism and the Maya Venus tables (584 days per period, a residue of 0.08 day) to 3.3 million articles a year; and the body, from trepanation — practised on four continents, with survival rates in Peru up to 91% — through Ibn Sīnā’s Canon, taught for 690 years, to smallpox eradication (1980) and the length of life rising from 28.5 years in 1800 to 73.2 in 2023. Of 12,495 medicinal plant uses, more than 75% are known to a single language only: the botany and the linguistics are one record.
Technique (ch. 19) spans 3.3 Ma of stone to a language model trained with 4.6 × 10²⁶ operations, tracking two measures: how often a technique began on its own (pottery at least three times — China ~20 ka, the Sahel, Amazonia; metal at least twice — Balkans copper and Andes gold; the wheel known in Mesoamerica only as a toy), and its spread time, which keeps shortening: paper took ~1,216 years to travel from China to Europe, the landline 43 years, the smartphone 2 — and a chatbot reached 100 million users in two months.
Energy (ch. 20) carries the per-person series from muscle (3.5 GJ, 111 W) through fire, farming and coal to 640 EJ of primary energy in 2025, 2,426 W per person, with human-made mass doubling every twenty years.
Exchange (ch. 21) begins as carried stone: at Olorgesailie the raw material of the handaxe makers came from at most 5 km away; by about 320 ka obsidian moved from sources up to 95 km distant — a nineteenfold widening, and the first measured trace of social networks. The line runs through gift systems (kula, potlatch, hxaro), coins struck almost simultaneously in Lydia and China (~700–550 BC), an Inca empire that ran without money on mit’a labour and knotted khipu, Potosí silver (~60% of world silver, 13,000 conscripts a year), the company, the bank and the bourse in Amsterdam, to world trade at 56.72% of global output (2024), moving in Kondratieff waves of ~48–53 years.
Living together (ch. 22) measures the nested groups of humanity — camps of ~30 adults, then layers at roughly 1.5, 5, 15, 50 and 150 (each a factor of ~3, as the ladder predicts) — through kinship, marriage, rank, slavery, law oral and written, and violence (from 2% lethal at origin to 12% in medieval societies). Six regions formed primary states; in the Seshat databank 77% of polities form one connected component. Empires die exponentially with a mean lifetime of ~220 years; Chinese major dynasties run a median 268; secular cycles take 200–300. The Atlantic slave trade, the audit’s darkest entry, embarked 12.5 million people and landed 10.7 million.
Story and memory (ch. 23) opens with the oldest dated oral memory — 21 Australian coastal stories that match sea-level curves 7,250–13,070 years old, some 290 generations of tellers — passes the Rigveda (2,039 years between composition and oldest surviving manuscript), the ~500,000-line Manas, and printing’s four steps (Diamond Sutra 868, Bi Sheng’s movable type 1041, the Jikji 1377, Gutenberg ~1455; 641 million printed books in 1750–1800 alone), and closes with a single web crawl of September 2026: 2.17 billion pages. Through the whole line, the story is the closed form; its carriers are replaced.
What was lost (ch. 24) is the audit’s balancing entry. The Americas lost about 90% of 60.5 million people within a century of contact; Tasmania’s population fell from thousands to 154 in thirty years; the Great Andamanese from 5,000 to 19; 984 languages are extinct — one lost every two weeks — and 196 uncontacted peoples remain (October 2025), half at risk within a decade. Indus script, Linear A and Rongorongo are still unread; of the Maya books burned at Maní in 1562, four codices survive. Some closed forms were lost with their carriers and found again only from outside: Egyptian blue, Maya blue, Roman concrete. Cuneiform held for 3,279 years and then stopped with its last scribes. Yet where carriers survived, the form refilled — Aboriginal Australians grew 12.5-fold from their 1921 nadir; Linear B was read again after 3,151 years; the American demographic collapse let forest regrow over 55.8 million ha and cooled the whole Earth’s air by 0.15 °C.
The rhythms of history (ch. 25) gathers every measured rhythm on one ladder of time, from the Kitchin business cycle (3.3 yr) and dynasties to the beats of sun and sea and the mahāyuga of 4.32 million years. The striking result is structural: several rhythms stand on the same ladder layers — the Saros, the Sothic cycle, the Bond cycle, the Calendar Round and Kondratieff waves all cluster near layer 52, the male generation at 51.99 — and the depths at which cycles close (1, 2, 5, 12, 41, 53, 306) include, at depth 12, a residue of 1.01364: the Pythagorean comma, music’s own leftover from closing the octave in twelve steps. The Maya Long Count (5,125 years) matches precession divided by five. Climatic beats — the 8.2-ka, 5.9-ka and 4.2-ka events — line up with the collapses of Akkad, the Old Kingdom and Harappan urban life around 2200 BCE; the Green Sahara pulsed ~230 times in 8 million years; and the great migrations out of Africa paced to astronomy.
The human net now (ch. 26) stops the clock on a measured present: 8.09 billion people in 2023, 57.8% urban across 33 megacities (Jakarta, ~42 million, the largest); 9.2 billion phone subscriptions; 6 billion people — 74% — online and 2.2 billion offline; 8.8 zettabytes of traffic; 1.9 trillion photographs a year; 106,000 new tracks a day. Growth peaked at 2.283% in 1963 and fell to 0.871% in 2023, with a projected peak of about 10.3 billion in the mid-2080s.
The next depth (ch. 27) reads the line forward. The step the history has taken many times has one movement: a closed form that once lived on its own becomes a letter of a larger closure. The bacterium became the mitochondrion; the cell, the body; the sign, the script; the village, the city. The same handoff now runs through the human functions themselves: memory went to clay around 3200 BCE, calculation went to machines, and ordering is going to the network. The human net stands at such an opening: humans and their livestock are 94% of mammal mass; agriculture and settlement cover almost 39% of ice-free land; made mass (~1.1 Tt) equals all dry living biomass, crossed around 2020 and doubling every twenty years; human energy use is 15–16% of all photosynthesis. Every earlier opening, once made, was filled many times — farming at least eleven times, the state six times, writing four times. The next depth the book names is “a reading that counts itself, bound to no single body”; it names no dates to come, noting only that “a ladder driven by a rest cannot end.”
The ladder of culture (ch. 28) sets 3,290 positions in order across four tables — lengths, areas, durations and ages of the whole catalogue (lengths alone account for 427 positions) — from a 0.5 mm cord at Abri du Maras to the orbital cycles, closing with the statement that the next depth stands above the last position written: “A ladder driven by a rest cannot end.”
Read as a whole, the book makes three contributions worth stating plainly.
First, it holds a single scale over the whole record. By placing the day, the dynasty, the energy budget and the orbital cycle on one ladder, it makes comparable what is usually told in separate genres, and it lets the reader see that the same forms recur at every size — the cell membrane, the handaxe edge, the city wall.
Second, it is disciplined about evidence. Every number stands with its unit, its calculation and its source; contested cases (the Homo naledi burials, the Divje Babe flute, the age of the Schöningen spears, FOXP2 selection) are presented with both readings rather than resolved by fiat. Where sources disagree — Terra Amata’s dates, Çatalhöyük’s population — the disagreement is shown, with the factor between them.
Third, its thesis is falsifiable in a way most grand histories are not. “What closes, stays,” “the residue of one depth becomes the alphabet of the next,” and “a new kind of union opens once and is then filled many times” are claims about recurrence, and the 6,995-case catalogue is built so they can be checked against it.
The limitations are the mirror of the strengths. The Vacuum.Net model is described beside the history rather than derived from it; a reader who does not accept the trit-and-closure formalism still receives the full measured history, but may find the recurring form-naming interrupt the flow. And the breadth is bought with compression: 633 pages for three million years means each case arrives as a dated, sourced datum rather than a told story — a reference work to consult, not a narrative to live in.
The book’s own summary may serve as the essay’s close: the record keeps the relations and drops the rest. What persists across three million years is not any particular people, language or technique — it is the closed forms they made and handed on, each becoming a letter of the next closure, up to the one that is opening now.
The sources below are selected from the book’s own numbered list and annotated for the role each plays in the argument. Together they illustrate the evidentiary range of the work: primary archaeological reports in Nature and Science, comparative databases, statistical syntheses, and international data series. Bracketed numbers are the book’s source list.
Het essay verbindt het FD-gesprek tussen Dolf van den Brink en Paul Scheffer over het Europese onbehagen: eens over de diagnose dat gemeenschapszin en politieke levering ontbreken, oneens over de remedie (Singapore en liberale maakbaarheid versus richting en een migratieakkoord).


Dolf van den Brink (53) was tot juni 2026 ceo van de Nederlandse bierbrouwer Heineken. Paul Scheffer (72) was hoogleraar Europese studies. Foto: Roger Cremers voor het FD
J.Konstapel,Leiden,15-10-2026.
Aanleiding : Paul Scheffer en Dolf van den Brink: ‘Ons Europese model superieur? Dat is behoorlijk arrogant gedacht’
Op 15 oktober 2026 bracht het FD twee mannen bij elkaar. Paul Scheffer, oud-hoogleraar Europese studies, schreef De dag na de bevrijding. Dolf van den Brink, tot juni ceo van Heineken, las het en maakte veel aantekeningen. Ze zijn het eens over de diagnose. Het onbehagen in Europa reikt verder dan de economie. De gemeenschapszin is weg. De politiek levert niet.
Over de remedie verschillen ze. Van den Brink wijst naar Singapore en wil een nieuwe liberale maakbaarheid. Scheffer wil richting zonder recepten en een migratieakkoord naar het model van het klimaatakkoord.
Dit essay legt het gesprek naast één model: het visnet van de Vacuum.Net-theorie. Het model heeft weinig begrippen. Een draad. Een winding die op zichzelf sluit. Een knoop. Een maas. Een kring waarin een daad pas telt als een ander haar afmaakt.
Met die begrippen valt het gesprek in zes punten uiteen. Het “superieure model” blijkt een eindpunt dat het net niet kent. Singapore sluit de korte kring, niet de lange. Liberale en autoritaire maakbaarheid liggen op één as en missen dezelfde nul. Een akkoord werkt alleen met een doorlaat. Een belofte reikt niet verder dan de kring die haar draagt. En de herinneringsgemeenschap van Scheffer is de trage laag waarop alles rust.
Het essay sluit met een statusgrootboek: wat gemeten is, wat gerekend, wat een lezing is, en wat open ligt.
Van den Brink opent relativerend. Is dit niet hoe geschiedenis altijd gaat? Tussen perioden van voorspoed zit steeds een instabiele tijd. De jaren zeventig waren ook somber.
Scheffer ziet het anders. De instabiliteit duurt al sinds 2001, zeker sinds 2008. En de context is nieuw: oorlog in Oekraïne, en een autoritair China dat economisch slaagt. Volgens zijn boek staat Europa aan het eind van de naoorlogse periode.
Dan komt de zin die de kop van het artikel werd. Van den Brink woonde in Congo, de VS, Mexico en Singapore. Het Europese zelfvertrouwen dat ons model superieur is, noemt hij arrogant.
Hij geeft een voorbeeld. In Singapore wilde de minister van handel best met de directie van de brouwerij praten. Op één voorwaarde: hij wilde ook een vragenuur met het voltallige personeel in de kantine. Daarom vertrouwen Singaporezen hun overheid meer dan wij de onze. Die overheid is aanspreekbaar.
Scheffer werpt tegen dat Singapore een stadsstaat is met zes miljoen inwoners. Een technocratisch bestuur lijkt hem voor Europa geen oplossing. Maar hij erkent dat Europese regeringen te vaak niet leveren.
Daarna volgen de thema’s. Gemeenschapszin als wederkerigheid. De Stichting van de Arbeid en de SER als voorbeeld van samenwerking. Het pensioenakkoord. Scheffers ergernis over het zinnetje “wen er maar aan”. Merkels “es gibt keine Alternative”, gevolgd door de AfD. Een migratieakkoord. Ongelijkheid en vermogensbelasting. De diplomademocratie. Het Draghi- en het Wennink-rapport. Oekraïne in de EU. Het populisme als protectionisme.
Het gesprek eindigt bij hoop. In zijn Sijthoff-lezing van 2024 zei Van den Brink dat hoop geen strategie is. Nu voegt hij toe: zonder hoop is er ook geen oplossing.
Dit essay leest het gesprek met één model. Het staat hier volledig, zodat de lezer niets hoeft op te zoeken.
Regel 1. Er is één draad. Alles wat verschillend lijkt, is dezelfde draad die zichzelf op een andere manier ontmoet.
Regel 2. Wat blijft, sluit op zichzelf. Een draad die terugkomt in zijn eigen fase vormt een winding. Wat niet sluit, blijft niet als zelfstandige toestand bestaan.
Regel 3. Knoop en maas. Waar windingen elkaar vasthouden, ontstaat een knoop. Tussen de draden zitten openingen: mazen. Het geheel lijkt op een visnet in water.
Regel 4. Adres en spanning. Elke knoop heeft twee lagen. Het adres is traag: geografie, grenzen, verdragen, bevolking, herinnering. De spanning is snel: prijzen, stemming, incidenten. De trage laag zet het kader voor de snelle, nooit andersom.
Regel 5. Vier toestanden. Spanning laadt, houdt vast, ontlaadt of rust.
Regel 6. De open maas. Spanning loopt door de zwakste open maas. Dat is een punt waar de last samenkomt en geen tweede pad bestaat.
Regel 7. Drie standen. Het register van het net heeft drie standen: +1, 0 en −1. De 0 is geen leegte. Het is de wettige rust waarin een tegenstelling sluit.
Regel 8. De kring. Een daad sluit pas als een ander haar afmaakt. Een gerepareerd dak telt als de eigenaar zegt: klopt. Zonder die ander blijft de daad open.
Regel 9. De horizon. Een verwachting reikt niet verder dan de sluitingstijd van de kring die haar draagt.
Regel 10. Zelfde patroon, andere schaal. Een winding op het ene niveau komt terug op een ander niveau. Een buurt, een stad en een land kunnen dezelfde vorm hebben.
Met deze regels wordt niets “verklaard” in de zin van oorzaak en gevolg. Er wordt beschreven wat sluit en wat niet, op welke schaal, en waar de spanning heen gaat.
Van den Brink noemt het geloof in de superioriteit van het Europese model arrogant. Zijn argument is ervaring: hij zag elders samenlevingen die anders werken en toch werken.
Het model geeft dat argument een vloer. Achter het “superieure model” zit een oudere aanname. De mens zou gedreven worden door een behoefte aan erkenning. De geschiedenis zou naar een eindpunt lopen waar die behoefte vervuld is. Fukuyama zette dat eindpunt in 1989 op de liberale democratie.
Die aanname heeft een herkomst. Ze is in de Westerse traditie gelast rond het jaar 400. Augustinus verbond het Griekse streven met het Paulinische tekort, en gaf de geschiedenis een richting (Konstapel, 2026a). Via Hobbes, Rousseau, Hegel en Kojève kwam ze bij Fukuyama terecht.
Oudere menselijke tradities kennen die aanname niet. In de overlevering van de San is een mens geen wezen dat erkenning zoekt. Een mens is een plek in een weefsel van mensen, dieren en land.
In het net is er geen eindpunt. Er is alleen sluiting (regel 2). Een model kan niet “superieur” zijn aan een ander model. Het kan alleen sluiten of niet sluiten, op een bepaalde plek en schaal.
Dat maakt de vraag anders. Niet: welk model wint? Maar: waar sluit dit model, en waar niet? Een knoop wil geen aanzien. Een knoop wil een kruising vasthouden, een plek waar lijnen samenkomen die zonder hem niet samenkomen.
Een status is geen kruising. Een samenleving kan iedereen formeel gelijk behandelen en toch knopen overhouden die niets dragen. Daar zit het onbehagen waar Van den Brink en Scheffer over spreken. Het gaat verder dan de economie, omdat het geen tekort aan middelen is. Het is een tekort aan kruising.
Het voorbeeld uit de kantine is precies. Een minister die met het personeel spreekt, maakt een kring met een sluitingstijd van één middag. Een vraag wordt gesteld. Een antwoord wordt gegeven. Iemand zegt: klopt, of: klopt niet. De daad is afgemaakt door een ander (regel 8).
De cijfers bevestigen dat Singapore die korte kring goed sluit. In de Edelman Trust Barometer 2026 vertrouwt 76 procent van de Singaporezen de regering. Dat is het hoogst van alle instituties in het land. De vertrouwensindex staat op 64. Voor Nederland is die 57.
Maar dezelfde meting laat iets anders zien. Slechts 31 procent van de Singaporezen gelooft dat de volgende generatie het beter krijgt. Dat is 11 punten minder dan een jaar eerder. De regering van Singapore stelt dat haar eigen enquêtes geen vergelijkbare daling tonen.
Die twee getallen passen bij regel 9. Een belofte reikt niet verder dan de kring die haar draagt. De kring van de kantine is kort. De kring van een volgende generatie is lang. Singapore sluit de eerste beter dan de tweede.
Hier komt Scheffers tegenwerping terug. Singapore is een stadsstaat. In netwoorden: Singapore is één winding. Wat op één winding werkt, werkt niet vanzelf op een continent van 450 miljoen mensen met vele windingen.
Toch hoeven beide sprekers niet te kiezen. Regel 10 biedt een derde weg. Dezelfde vorm kan op elke schaal terugkomen. Het Nederlandse voorstel voor fractale democratie werkt dat uit (Konstapel, 2025a). Wijkcirkels besluiten via consent over hun eigen leefomgeving. Ze verbinden zich met een hogere cirkel alleen als het lokaal niet lukt. Elke cirkel heeft een dashboard: wat besloten, wat gedaan, wat het kostte, wat het opleverde.
Zo wordt de kantine van Singapore herhaald op elke laag. Niet als regime dat wordt overgenomen. Als vorm die op elke schaal sluit.
Het scherpste moment in het gesprek gaat over maakbaarheid. Scheffer ergert zich aan “wen er maar aan”. Als het politieke midden de maakbaarheid loslaat, zegt hij, krijg je autoritaire maakbaarheid terug. Van den Brink antwoordt met een nieuwe liberale maakbaarheid.
Er staan dus drie posities op tafel:
In het net liggen de laatste twee op dezelfde as. De ene is +1, de andere −1. Beide zeggen: wij maken het, van bovenaf, naar ons beeld. Ze verschillen in teken, niet in vorm. En de eerste positie is geen 0. Het is de as zonder richting, die de ruimte openlaat voor een van beide uitersten.
Dit patroon is in Nederland met getallen gemeten. Burgers geven hun eigen leven een 7,7. Het vertrouwen in de politiek krijgt een 4,9 (Konstapel, 2025a). Met mij gaat het goed, met ons gaat het slecht. Dat is het onbehagen van Van den Brink, in twee cijfers.
Hetzelfde stuk laat zien dat de grote blokken in de Nederlandse politiek, hoe verschillend ook, hetzelfde proces hanteren: sturen van bovenaf. Het ene blok combineert markt met hiërarchie. Het andere combineert gemeenschap met bureaucratie. Ze blokkeren elkaar, omdat ze op dezelfde as liggen.
Wat ontbreekt is de wettige 0 (regel 7). In de Nederlandse traditie heeft die een naam: consent. Kees Boeke ontwierp na de oorlog een bestuursvorm waarin een besluit valt als niemand een fundamenteel bezwaar heeft. Een besluit staat dan niet meer ter discussie, behalve als de kring dat wil (Konstapel, 2026b).
Consent is geen compromis tussen +1 en −1. Het is de stand waarin de tegenstelling sluit. Een strategie die de impasse werkelijk opheft, loopt daarom niet via een betere maakbaarheid. Ze loopt via de 0.
Dezelfde vorm is zichtbaar in de geopolitiek. Het HCSS-rapport Europe’s Strategic Trap beschrijft een Russische dwangcampagne onder de drempel van oorlog. Het stelt een Europese tegenstrategie voor. Gelezen in het net zijn beide strategieën spiegelbeelden (Konstapel, 2026c). Beide stellen eisen, beide verhogen de prijs, beide stoppen pas als de ander toegeeft. Geen van beide bevat rust.
In zijn Sijthoff-lezing van november 2024 sprak Van den Brink over zijn terugkeer in 2020. De polder, de cultuur van overleg en consensus, had plaatsgemaakt voor polarisatie. Feiten werden openlijk ontkend. Groepen trokken zich terug in hun eigen waarheid.
De polder was een kring. In de SER en de Stichting van de Arbeid zaten werkgevers, werknemers en overheid aan één tafel. Een akkoord telde als alle drie het afmaakten. Dat is regel 8 op landelijke schaal.
Polarisatie is de as zonder 0. Twee polen, en geen plek meer waar ze sluiten.
Het punt over feiten verdient extra aandacht. In het net heeft een feit een eenvoudige definitie: een sluiting die door een ander is afgemaakt. Een regel in de geheugenbank van een kring luidt bijvoorbeeld: Karim hielp Fatima met het dak, dinsdag. Het telt pas als Fatima bevestigt (Konstapel, 2026d).
Een “eigen waarheid” is dan een winding die alleen op zichzelf sluit. Ze heeft geen ander nodig. Daarom staat ze buiten de kring. Het probleem is niet dat mensen verschillende meningen hebben. Het probleem is dat er geen plek meer is waar een bewering door een ander wordt afgemaakt.
Volgens het FD-verslag van de lezing ziet Van den Brink bedrijven als verbinders en als oplossingenmachine. Hij werkte met andere ceo’s aan een deltaplan voor grootschalige her- en bijscholing. Zo’n plan is een concrete kring. Wie leert, krijgt werk dat telt. Wie het werk ziet, bevestigt het.
Elders is gemeten wat zulke kringen doen (Konstapel, 2026e). In Liberia kregen 999 mannen met een hoog risico acht weken groepstherapie en 200 dollar. Tien jaar later was hun crimineel gedrag ongeveer gehalveerd. In Chicago kregen jongeren een zomerbaan met een mentor. Arrestaties voor geweld daalden met 43 procent. Geen van beide programma’s gaf vooral inkomen. Beide gaven een daad die telde, iemand die haar zag, en tijd om te herhalen.
Van den Brink noemt het pensioenakkoord als bewijs dat samenwerking werkt. Scheffer wil een migratieakkoord, met bedrijven en ngo’s aan tafel, naar het model van het klimaatakkoord.
Beide voorstellen vallen onder regel 8. Een akkoord is een kring. Maar een kring kan open blijven aan de uitgang. De vraag is dan hoeveel van wat de kring afspreekt werkelijk wordt uitgevoerd. Die maat heet hier de doorlaat.
De doorlaat is gemeten bij burgerberaden (Konstapel, 2026f). Het Franse klimaatberaad van 2020 deed 149 voorstellen. President Macron beloofde ze “zonder filter” over te nemen. Een telling van Reporterre vond er 15 terug in de klimaatwet. De doorlaat was ongeveer 0,10. In Ierland liep een burgerberaad uit op een referendum, en de doorlaat was vrijwel 1.
Een kring zonder doorlaat is geen neutraal experiment. Het verhoogt de verwachting, en levert niet. De spanning neemt dan toe. Een migratieakkoord zonder doorlaat zou hetzelfde doen.
Een tweede les komt uit de geschiedenis van de VVD. In 2005 schreef de commissie-Dales een Liberaal Manifest. Het stelde zelf de diagnose: het vertrouwen in de politiek was gezakt van 65 procent in 2000 naar 30 procent in 2003. Het noemde dat het grote politieke probleem van onze tijd.
Daarna regeerde de VVD veertien jaar onafgebroken. Van de voorstellen uit het manifest werd vrijwel niets uitgevoerd (Konstapel, 2026g). Het ene voorstel dat wel werd uitgevoerd, het Ministerie van Veiligheid, concentreerde macht. De voorstellen die macht naar de burger brachten, bleven liggen.
Een relationeel probleem kreeg procedurele antwoorden. Er bestond geen geheugen dat de afstand tussen belofte en levering jaar na jaar zichtbaar maakte. Dat geheugen is wat een akkoord nodig heeft om een doorlaat te hebben.
Scheffer houdt vast aan een stelling uit zijn eerdere werk. Om het sociaal contract vorm te geven, is grip op de instroom nodig.
In 2007 besprak de historicus Leo Lucassen zijn boek Het land van aankomst. Hij maakte drie punten die hier van belang zijn.
Het eerste punt. Scheffer stelde dat de integratieproblemen voortkwamen uit naïef multiculturalisme. Lucassen zag daar geen bewijs voor. In Duitsland en Frankrijk was de situatie vergelijkbaar, terwijl die landen veel eerder op assimilatie aandrongen.
In netwoorden: verschillend beleid geeft dezelfde uitkomst. Dan beschrijft het beleid de uitkomst niet. Wat terugkomt, is hetzelfde patroon op een ander adres (regel 10).
Het tweede punt. Scheffer leunde op Oscar Handlins The Uprooted uit 1951. Volgens Lucassen was die these sindsdien weerlegd. John Bodnar schreef in 1985 The Transplanted.
In het net zijn dat twee toestanden van één draad. Ontworteld: de winding is losgemaakt en sluit nergens meer. Verplant: de winding sluit opnieuw, op een nieuw adres. De vraag is dus niet of migratie ontwricht. De vraag is of de winding op de nieuwe plek een kring vindt.
Het derde punt. Te vaak, schreef Lucassen, kregen moslims de boodschap dat zij hooguit voorwaardelijke Nederlanders waren. Ze moesten steeds bewijzen dat ze deugden. Dat blokkeert identificatie eerder dan dat het haar helpt.
Een voorwaardelijke Nederlander heeft een status zonder kruising. Hij staat in het net, maar niets loopt via hem. Dezelfde vorm komt terug in onderzoek naar jongeren elders. In Afghanistan, Colombia en Somalië gaf niet werkloosheid de doorslag naar geweld, maar onrecht (Mercy Corps, 2015). Een jongere wordt dan wel gezien, maar verkeerd.
Het woord “immigratie” bevat in Nederland vier verschillende problemen (Konstapel, 2025a):
| Probleem | Wat wordt gevoeld | Waar het speelt |
|---|---|---|
| Wonen | Onrechtvaardigheid | Twintig jaar te weinig gebouwd |
| Veiligheid | Verlies van vertrouwdheid | Snelle verandering zonder begeleiding |
| Waarden | Bedreigde levenswijze | Onduidelijke grondwet, falende integratie |
| Arbeidsmarkt | Economische dreiging | Minimumloon niet gehandhaafd |
Een migratieakkoord dat deze vier onder één label houdt, kan geen van de vier sluiten. Elk vraagt een eigen kring met eigen deelnemers. Scheffer wijst zelf op het vierde. Bedrijven profiteren van goedkope arbeidsmigranten, maar bekommeren zich minder om huisvesting en zorg. Hier ontbreekt de ander die de daad afmaakt.
De Staatscommissie Demografische Ontwikkelingen 2050, waarvan Scheffer lid was, adviseert gematigde groei naar 19 à 20 miljoen inwoners in 2050. Dat is een keuze in de trage laag (regel 4). De bevolking is adres. Wat daar wordt besloten, zet het kader voor alles wat sneller beweegt.
Het gesprek raakt aan ongelijkheid. Scheffer citeert Martin Wolf: elites moeten meer respect tonen voor wat burgers bij elkaar houdt, en meer belasting betalen. Van den Brink erkent dat de ongelijkheid groter is geworden. Als een samenleving het systeem onrechtvaardig vindt, zegt hij, werkt het niet.
Over de vermogensbelasting is hij voorzichtig. Hij noemt een effectief tarief van 2,1 procent, een van de hoogste in Europa. En hij waarschuwt dat kapitaal mobiel is.
Dat getal is niet bevestigd. Onder het oude forfaitaire stelsel lag de effectieve heffing in box 3 tussen 0,87 en 1,65 procent, afhankelijk van de schijf (Jacobs, 2015). Vanaf 2028 wordt in box 3 het werkelijke rendement belast tegen 36 procent.
Belangrijker is waar de mobiliteit zit. De 1 procent meest vermogenden heeft tachtig procent van het vermogen in box 2: aandelen in eigen bv’s (ESB, 2025). Het debat in het interview gaat over box 3. De open maas (regel 6) is box 2.
Aan de andere kant van de vergelijking staat een andere groep. Campbell en Mankiw maten in 1989 dat ongeveer de helft van de consumptie meebeweegt met het inkomen van de maand zelf. Volgens het standaardmodel van Hall zou dat nul moeten zijn.
Regel 9 geeft dat getal een vorm. Een huishouden dat H maanden vooruit rekent, laat zijn uitgaven voor een deel 1/H meebewegen met het inkomen. Een gemeten waarde van 0,5 past bij een verdeling waarin de helft van de huishoudens niet verder kijkt dan de volgende maand (Konstapel, 2026h).
Dat zijn mensen. Het zijn huishoudens die aan het eind van de maand de huur betalen en dan pas weten wat er over is. Voor hen bestaat een belofte over vijf jaar nauwelijks.
Het standaardmodel van Woodford rekent met een weegfactor van 0,99 per kwartaal. Een belofte voor over vijf jaar, twintig kwartalen, weegt dan nog 0,99²⁰ = 0,82. Met een horizon die volgt uit hoe lang prijzen werkelijk stilstaan, houdt zo’n belofte 8 procent van de kracht van een besluit vandaag (Konstapel, 2026h).
Kapitaal en huishouden handelen dus allebei binnen de kring die hen draagt. Het mobiele kapitaal heeft een lange kring door een smalle maas. Het huishouden heeft een kring van een maand. Een nieuw vooruitgangsverhaal moet in beide kringen landen. Anders blijft het een belofte zonder ontvanger.
Scheffers boek heeft drie delen: de herinneringsgemeenschap, de vrijheidsgemeenschap en de veiligheidsgemeenschap. In het FD-gesprek ligt de nadruk op de laatste twee. Zonder veiligheidsgemeenschap, zegt hij, geen vrijheidsgemeenschap.
Volgens een bespreking door Alicja Gescinska stelt Scheffer dat duurzame vrede een gedeelde herinneringscultuur vraagt. Duitsland kwam in het reine met zijn wandaden. Willy Brandt knielde in 1970 in Warschau. Rusland deed dat niet. Er staan in Rusland meer dan honderd beelden van Stalin, en er komen er nog bij.
In het net past de herinnering op de trage laag (regel 4). Het is adres. Vrijheid is doorgang door open mazen. Veiligheid is het sluiten van mazen die anders de last doorlaten. De volgorde in Scheffers zin klopt dan zonder oorzaakpijl. Een maas laat pas door als de knopen eromheen houden. Dat is een gelijktijdige voorwaarde, geen opeenvolging.
Een herinnering die niet gedeeld wordt, is een winding die niet sluit tussen twee partijen. Er is dan geen gemeenschappelijk adres om vrede op te bouwen.
Scheffer zei het in 2016 al anders. Een samenleving moet altijd een evenwicht zoeken tussen wat plaatsgebonden is en wat in beweging is. Dat is het onderscheid tussen adres en spanning, in zijn eigen woorden.
Het boek opent met de verwijzing naar wat Scheffer de naoorlogse tijd noemt. Die begon op de conferentie van Jalta in februari 1945. Volgens Hans Wansink eindigt het boek met een pleidooi voor een zo snel mogelijke opname van Oekraïne in de EU. Oekraïne hoort volgens Scheffer feitelijk al bij de veiligheidsgemeenschap die Europa wil zijn.
Scheffer zegt dat de keuzes van nu nog decennia doorwerken. Het model geeft daar een rekenbare grens aan.
De ladder van drie meet tijd in lagen. De maat is de natuurlijke tijdseenheid T₀ = 1,521 × 10⁻¹⁶ seconde. Dat is de helft van de periode van de Rydbergfrequentie. Laag n duurt 3ⁿ × T₀.
Eén jaar is 3,156 × 10⁷ seconde. Dat is 2,075 × 10²³ T₀. De positie op de ladder is log₃ daarvan: 48,87. Een duur hoort bij laag n als de positie tussen n − 0,5 en n + 0,5 ligt. Een jaar ligt dus op laag 49.
De oorlog in Oekraïne begon op 24 februari 2022. Na 4,6 jaar ligt hij op positie 50,26, dus op laag 50. Die laag eindigt bij positie 50,5. Dat is 3^(50,5 − 48,87) = 3^1,63 ≈ 6,0 jaar na de start: rond 21 februari 2028.
De oorlog met Iran begon op 28 februari 2026. Hij ligt op laag 48 en 49. Laag 49 eindigt bij positie 49,5. Dat is 3^0,63 ≈ 2,0 jaar na de start: rond 27 februari 2028.
Beide oorlogen bereiken dus in dezelfde maand een laaggrens. Hun grenzen van zes en twee jaar verschillen precies een factor drie: één laag. Wat op die grens niet gesloten is, hoort daarna bij de tragere laag. Voor Oekraïne betekent dat een winding van ongeveer tien jaar (Konstapel, 2026i).
Dat geeft Scheffers zin een datum. “De tijd staat open”, citeert hij Kouwenaar. In het net staat de tijd open tot februari 2028.
Van den Brinks zorg past in hetzelfde beeld. Lidmaatschap door de strot van de eigen bevolking duwen, zegt hij, gaat backfiren. Marine Le Pen en de AfD voeren campagne tegen de steun aan Oekraïne. Een besluit zonder tweede pad is een open maas onder last (regel 6).
Het HCSS-rapport laat zien hoe zo’n maas eruitziet. Van de 210 miljard euro aan bevroren Russische tegoeden lag 193 miljard bij één instelling, Euroclear in Brussel. Dat is 92 procent in één gebouw, onder één staat. De spanning kwam daar terecht. België blokkeerde de grote lening in december 2025 (Konstapel, 2026c).
Een veilig pad voor Oekraïne vraagt dus tweede paden. Een tweede depot. Een tweede spoorlijn. Een betaalsysteem dat offline werkt. Leden die elkaar kunnen vervangen. In Fiske’s termen is dat het vermogen tot delen en beurtelings geven. Juist die twee vormen van relatie hebben in de huidige strategieën geen bureau.
In zijn Sijthoff-lezing noemde Van den Brink vier risico’s: geopolitiek, structurele schaarste aan arbeid, kapitaal en energie, klimaatverandering, en ontwrichting door AI. Hij behandelt ze als vier dossiers.
In het net zijn het geen aparte dossiers. Het is één net waarin de spanning door de zwakste maas loopt (Konstapel, 2026i).
| Risico | Waar het in het net zit |
|---|---|
| Geopolitiek | Twee oorlogen die in februari 2028 dezelfde laaggrens bereiken; open mazen in Europees gas en in Euroclear |
| Schaarste aan arbeid | Het spiegelbeeld van werk dat elders niet telt: 800 miljoen jongeren zonder kring waarin hun werk telt |
| Schaarste aan energie | Energie als lange keten door smalle corridors; Banga’s eigen les dat regionale afhankelijkheid beter te beheersen is |
| Klimaat | Water als trage laag onder de warmte; bodem en water als voorwaarde voor elk klimaatbeleid |
| AI | Een poort die alleen onderbouwd antwoordt of zegt: weet ik niet |
De arbeidsschaarste in Nederland en het werk dat elders niet telt, horen bij elkaar. Volgens de Wereldbank bereiken de komende tien jaar 1,2 miljard jongeren in ontwikkelingslanden de werkende leeftijd. Er komen ongeveer 420 miljoen banen bij. Bijna 800 miljoen blijven over (Konstapel, 2026e).
Werk is er genoeg: daken, oogsten, water, zorg. Het telt alleen niet, omdat er geen kapitaal rendement op verwacht. In Nederland is er werk zonder handen. Elders zijn er handen zonder werk dat telt. Beide gaan over een ontbrekende kring tussen werk en de erkenning ervan.
Van den Brink en Scheffer zoeken allebei een kring. Van den Brink zoekt hem in samenwerking tussen overheid en bedrijfsleven, en in de dialoog met alle lagen van de samenleving. Scheffer zoekt hem in herinnering, veiligheid en een sociaal contract.
Op drie punten sluiten hun lijnen aan op het net.
Aanspreekbaarheid. De kantine in Singapore en de dialoog buiten de directiekamer zijn dezelfde vorm. Het is een korte kring waarin een ander de daad afmaakt.
Akkoorden. Pensioenakkoord, SER, migratieakkoord: het zijn kringen. Ze werken als ze een doorlaat hebben, en een geheugen dat bijhoudt wat ervan terechtkwam.
De trage laag. Herinnering, bevolking en de lange lijnen in Scheffers boek liggen op het adres. Daar wordt het kader gezet.
Op één punt lopen de lijnen uiteen. Van den Brink geeft het bedrijf de rol van verbinder. In de relatietheorie van Alan Fiske werkt een bedrijf met rangorde en prijs. Verbinden hoort bij twee andere vormen: delen en beurtelings geven.
Het model van panarchie legt de verhouding andersom. Daar bepaalt de samenleving wat er gebeurt met wat bedrijven maken (Konstapel, 2026b). Het verschil is geen tegenstelling die moet worden beslecht. Het is een open vraag: in welke kring krijgen delen en beurtelings geven een vaste plek?
Ook Scheffers weigering om recepten te geven past in het model. “Richting schept ruimte”, zegt hij. Een recept is een maakbaarheidsplan. Een richting zet het adres, en laat de sluiting over aan de kringen die volgen. Wat ontbreekt, is de vorm van die kringen.
Een analyse in termen van windingen en mazen kan te ver van de mensen komen te staan. Daarom op een rij wie hier leeft.
Het huishouden dat aan het eind van de maand de huur betaalt. Voor hen is stabiliteit geen belofte over 2031. Het is een maand die sluit.
De arbeidsmigrant in een distributiecentrum. Hij werkt, maar zijn huisvesting en zorg vallen buiten de kring van het bedrijf dat van hem profiteert.
De jongen in de tweede generatie die steeds moet bewijzen dat hij deugt. Hij heeft een paspoort. Hij heeft geen kruising.
Het personeel in de kantine van de brouwerij in Singapore. Zij stelden een vraag aan een minister en kregen antwoord.
De Oekraïense leraar die maandenlang niet wist of de begroting zou bestaan.
De Singaporese jongere die zijn regering vertrouwt, maar niet gelooft dat zijn kinderen het beter krijgen.
De Nederlander die zijn eigen leven een 7,7 geeft en de politiek een 4,9.
Al deze mensen vragen hetzelfde. Niet om erkenning als status. Om een plek waar wat zij doen door een ander wordt afgemaakt.
Het onbehagen waar Scheffer en Van den Brink over spreken, is geen tekort aan welvaart. Het is een tekort aan sluiting. Er zijn te weinig kringen waarin een daad, een belofte of een bewering door een ander wordt afgemaakt.
Het “superieure model” zocht een eindpunt. Het net kent geen eindpunt, alleen sluiting op een plek en een schaal.
Singapore laat zien dat een korte kring vertrouwen geeft. Het laat ook zien dat een korte kring de lange niet vervangt.
Liberale en autoritaire maakbaarheid liggen op één as. Beide missen de 0. In de Nederlandse traditie heeft die 0 een naam: consent, en een vorm: de kring van Boeke.
Een akkoord werkt alleen met een doorlaat en een geheugen. Zonder die twee wordt het een versterker van de verwachting die het niet kan inlossen.
Een belofte reikt niet verder dan de kring die haar draagt. Voor de helft van de huishoudens is die kring een maand.
De herinnering is de trage laag. Wat daar niet sluit, maakt elke vrede wankel.
En de tijd staat open tot februari 2028. Wat dan niet gesloten is, wordt een trage winding van ongeveer tien jaar.
De opgave die uit dit gesprek volgt, is daarom concreet. Niet een nieuw verhaal over de toekomst. Wel kringen op elke schaal, van wijk tot Europa, waarin een daad telt omdat een ander haar afmaakt.
| Uitspraak | Status |
|---|---|
| Inhoud van het FD-gesprek | Gemeten: volledige tekst, 15-10-2026 |
| Inhoud van de Sijthoff-lezing | Tweedehands: samenvatting en FD-verslag van 6-11-2024; vier van de vijf suggesties niet beschikbaar |
| Opbouw en kernstellingen van De dag na de bevrijding | Tweedehands: interview, Wynia’s Week, Gescinska, flaptekst; de boektekst zelf is niet geraadpleegd |
| Lucassens bezwaren tegen Het land van aankomst | Gemeten: volledige recensie, 2007 |
| Vertrouwen in Singapore en Nederland (Edelman 2026) | Gemeten |
| Effectief tarief 2,1 procent vermogensbelasting | Niet bevestigd; oud forfait 0,87–1,65 procent |
| Concentratie in box 2 bij de top 1 procent | Gemeten (IBO 2022, via ESB) |
| Laaggrenzen in februari 2028 | Gerekend, in dit essay nagerekend |
| 0,99²⁰ = 0,82 | Gerekend |
| Euroclear 193 van 210 miljard = 92 procent | Gerekend |
| Doorlaat Frans klimaatberaad ≈ 0,10 | Gemeten (telling Reporterre) |
| Superieur model als eindpunt, Singapore als korte kring, as zonder 0, herinnering als adres | Lezing in het model, geen uitkomst |
| Of Scheffer in zijn nieuwe boek op Lucassen ingaat | Open |
| De vorm van de kring waarin delen en beurtelings geven een vaste plek krijgen | Open |
Couwenbergh, P. en Geels, B. (2026). “Paul Scheffer en Dolf van den Brink: ‘Ons Europese model superieur? Dat is behoorlijk arrogant gedacht’.” Het Financieele Dagblad, 15 oktober 2026. Waarom lezen? De aanleiding. Een zeldzaam gesprek tussen een publicist en een topbestuurder die het over de diagnose eens zijn en over de remedie niet. Leesadvies: lees de passage over Singapore naast die over “wen er maar aan”. Daar zit de kern.
FD (2024). “Topman Heineken hekelt polarisatie en ziet verbindende rol voor bedrijfsleven.” Het Financieele Dagblad, 6 november 2024. Waarom lezen? Het verslag van de Sijthoff-lezing, met het deltaplan voor her- en bijscholing als enige uitgeschreven voorstel. Leesadvies: kort; lees het als de voorganger van het gesprek van 2026.
Scheffer, P. (2026). De dag na de bevrijding. Een drieluik over Europa. Amsterdam: Prometheus, 608 p. Waarom lezen? Een ideeëngeschiedenis van Europa sinds 1945, verweven met vijftig jaar eigen ervaring als correspondent en hoogleraar. Leesadvies: begin bij het deel over de herinneringsgemeenschap; daar ligt de trage laag onder de andere twee.
Wansink, H. (2026). “Een rijk boek over een halve eeuw bemoeienis met Europa.” Wynia’s Week, 1 oktober 2026. Waarom lezen? De uitgebreidste bespreking van het nieuwe boek. Laat zien hoe Scheffer van Havemann in Oost-Berlijn naar Matviichuk in Kyiv loopt. Leesadvies: de passage over Jalta geeft het begin van “de naoorlogse tijd”.
Gescinska, A. (2026). “Schandelijke eer.” De Morgen, 2 september 2026; herplaatst door het Humanistisch Verbond. Waarom lezen? De helderste weergave van Scheffers herinneringsgemeenschap, toegepast op Servië en Rusland. Leesadvies: lees de alinea over de beelden van Stalin naast die over Brandts knieval.
Lucassen, L. (2007). Recensie van P. Scheffer, Het land van aankomst. Tijdschrift voor Sociale en Economische Geschiedenis 4(4), 190–191. Waarom lezen? Twee pagina’s die drie zwakke plekken in een invloedrijk boek precies aanwijzen: de ontbrekende vergelijking, het verouderde beeld van ontworteling, en het effect van voorwaardelijk burgerschap. Leesadvies: de laatste alinea over “voorwaardelijke Nederlanders” is de kern.
Konstapel, J. (2026). “Vacuum.Net Theory: hoe massa, energie en ruimte één net vormen.” constable.blog, 28 september 2026. Waarom lezen? Het net zelf: draad, winding, knoop en maas, en de regel dat wat blijft op zichzelf sluit. Leesadvies: de eerste paragrafen volstaan voor dit essay.
Konstapel, J. (2026i). “Global Tensions 2026: February 2028 as a Turning Point.” constable.blog, 11 oktober 2026. Waarom lezen? De ladder van drie, de laaggrenzen van beide oorlogen, en de lezing van vier regio’s als één net. Leesadvies: paragraaf 3, “The clocks”; reken de twee data zelf na.
Konstapel, J. (2026h). “Waarom een belofte niet verder reikt dan de kring die haar draagt.” constable.blog, 12 oktober 2026. Waarom lezen? De sluitingshorizon toegepast op het werk van de Nobelprijswinnaars Hall en Woodford, met de meting dat de helft van de huishoudens binnen een maand leeft. Leesadvies: het statusgrootboek aan het eind scheidt bewezen van gemeten.
Konstapel, J. (2026a). “De Waarheid Achter Fukuyama’s ‘Einde van de Geschiedenis’.” constable.blog, 12 september 2026. Waarom lezen? Dateert de aanname van erkenning en laat zien waar het “superieure model” zijn eindpunt vandaan heeft. Leesadvies: de paragraaf “De las” over Augustinus.
Konstapel, J. (2026e). “Waarom 800 miljoen jongeren geen banen tekortkomen, maar een kring waarin hun werk telt.” constable.blog, 12 oktober 2026. Waarom lezen? Werk dat niet telt, de vier routes waarlangs spanning ontlaadt, en drie getoetste programma’s. Leesadvies: de paragraaf “Wat aantoonbaar werkt”.
Konstapel, J. (2026d). “The MAZE-Bank: A Radical Reimagining of Economic Systems.” constable.blog, 9 september 2026. Waarom lezen? De kring als geheugen: een daad telt als een ander haar bevestigt. Leesadvies: lees het als uitwerking van regel 8.
Mercy Corps (2015). Youth & Consequences: Unemployment, Injustice and Violence. Waarom lezen? Het bewijs uit drie landen dat onrecht, niet werkloosheid, jongeren naar geweld drijft. Leesadvies: de samenvatting volstaat.
Campbell, J. en Mankiw, G. (1989). “Consumption, Income, and Interest Rates.” NBER Macroeconomics Annual 4. Waarom lezen? De meting dat de helft van de consumptie het inkomen van nu volgt. Leesadvies: de schattingstabellen.
Konstapel, J. (2025a). “Fractale Democratie: Van Vertrouwenscrisis naar Wijkcirkels.” constable.blog, 2 oktober 2025. Waarom lezen? De paradox van 7,7 tegen 4,9, de twee blokken die allebei van bovenaf sturen, en het ontwerp van wijkcirkels. Leesadvies: paragraaf IV, met de voorbeelden wonen, energie en zorg.
Konstapel, J. (2026b). “Hoe het Volk de Macht weer krijgt.” constable.blog, 26 maart 2026. Waarom lezen? Consent, de dialoog als gezamenlijke inspanning, en panarchie als model voor de verhouding tussen volk, bedrijf en overheid. Leesadvies: de paragraaf over Kees Boeke.
Konstapel, J. (2026f). “Het Burgerberaad is een Versterker, geen Ventiel.” constable.blog, 18 augustus 2026. Waarom lezen? De doorlaat als maat voor elke kring die adviseert. Leesadvies: lees de cijfers over Frankrijk en Ierland naast elkaar.
Konstapel, J. (2026g). “Het Vergeten Manifest: Waarom de VVD Haar Eigen Diagnose Twintig Jaar Heeft Genegeerd.” constable.blog, 11 juni 2026. Waarom lezen? Een gecontroleerd experiment in politiek niet-leren, en waarom een akkoord een geheugen nodig heeft. Leesadvies: de paragraaf over het ene voorstel dat wel werd uitgevoerd.
Konstapel, J. (2026). “De Neutrale Staat en haar Grenzen.” constable.blog, 14 mei 2026. Waarom lezen? De fractale staat als antwoord op Frissen: condities scheppen zonder uitkomsten voor te schrijven. Leesadvies: paragraaf V.
Konstapel, J. (2026). “Democratie in Vrije Val: Zwemmen in plaats van Verzuipen.” constable.blog, 3 oktober 2026. Waarom lezen? Het overzicht van de hele democratielijn, met een lijst van de onderliggende stukken. Leesadvies: de lijst “Gebruikte blogs” als kaart.
Konstapel, J. (2026c). “The Mesh That Stays Open: How Russia Exploits Europe’s Weak Links.” constable.blog, 8 oktober 2026. Waarom lezen? De open-maastoets op Euroclear en Polen, en de twee strategieën als twee handen van één as. Leesadvies: paragraaf 5 met de tabel van Fiske.
Iven, M., Mansfield, E., Eichstaedt, N. en Sweijs, T. (2026). Europe’s Strategic Trap. Den Haag: HCSS. Waarom lezen? De bron van alle data over België en Polen, eerlijk over de grenzen van de eigen toeschrijving. Leesadvies: paragrafen 3.4 en 4.4.
Fiske, A. P. (1992). “The Four Elementary Forms of Sociality.” Psychological Review 99(4), 689–723. Waarom lezen? Delen, rangorde, beurtelings geven en prijs: de vier vormen van relatie die in elke cultuur terugkomen. Leesadvies: dit artikel volstaat; het boek uit 1991 is de lange versie.
McWhinney, W. (1997). Paths of Change. Thousand Oaks: Sage. Waarom lezen? De vier wereldbeelden en de regel dat verandering een gesloten pad door alle vier is. Leesadvies: hoofdstuk 1 tot 3.
Edelman Trust Institute (2026). 2026 Edelman Trust Barometer, met landenrapporten voor Nederland en Singapore. Waarom lezen? Vertrouwen in 28 landen, en het verschil tussen vertrouwen in de regering en vertrouwen in de volgende generatie. Leesadvies: leg de cijfers voor Singapore en Nederland naast elkaar.
Jacobs, B. (2015). “Partiële begrotingsanalyse belastingen.” ESB. Waarom lezen? De berekening van de effectieve vermogensbelasting onder het oude box 3-stelsel. Leesadvies: de passage over de drie schijven.
ESB (2025). “Volgend kabinet moet de belasting op vermogensinkomsten, vermogen en erfenissen pragmatisch hervormen.” Waarom lezen? Waar het vermogen in Nederland werkelijk zit, en hoe ongelijk de belasting op verschillende vormen uitvalt. Leesadvies: de passage over box 2.
Staatscommissie Demografische Ontwikkelingen 2050 (2024). Gematigde groei. Den Haag. Waarom lezen? Het advies over 19 à 20 miljoen inwoners, met de onderbouwing per scenario. Leesadvies: de samenvatting en hoofdstuk 3 over migratievarianten.
Handlin, O. (1951). The Uprooted. Boston: Little, Brown. Waarom lezen? Het klassieke beeld van migratie als ontworteling, waarop Scheffer in 2007 leunde. Leesadvies: lees het naast Bodnar.
Bodnar, J. (1985). The Transplanted. Bloomington: Indiana University Press. Waarom lezen? Het tegenbeeld: migranten die opnieuw wortelen. Leesadvies: de inleiding geeft het hele argument.
Gunderson, L. H. en Holling, C. S. (red.) (2002). Panarchy. Washington: Island Press. Waarom lezen? De cyclus van groei, vasthouden, loslaten en vernieuwen in natuur en samenleving. Leesadvies: de inleiding en hoofdstuk 1.
Boeke, K. en Endenburg, G. Sociocratische ontwerpprincipes; zie Endenburg, G. (1998). Sociocracy: The Organization of Decision-Making. Delft: Eburon. Waarom lezen? Consent als besluitvorm, en de kring als bouwsteen van bestuur. Leesadvies: de hoofdstukken over consent en dubbele koppeling.
De blog gaat over en bevat een gratis een boek dat de geschiedenis van het leven beschrijft.
kleine zelfstandige dingen (atomen, cellen) worden steeds onderdeel van een groter geheel (moleculen, organismen).
Ze verdwijnen daarbij niet: ze blijven bestaan als bouwsteen van dat grotere geheel.
Het boek zet al die stappen op één meetlat/tijdlijn, van heel klein naar heel groot, zodat je ze kunt vergelijken.

J.Konstapel,Leiden,15-10-2026
The history of life is one line of closures. Again and again, a form that once lived on its own became a letter of a larger whole. What closes, stays.
The book tells the history of life with numbers. Every case gets a date, a size and a duration. And every length and time gets a place on one ladder: a logarithmic scale with base 3. Lengths are measured against 4.56 × 10⁻⁸ m, times against 1.52 × 10⁻¹⁶ s.
One step up the ladder is a factor of three. The day sits at position 43.50. The year at 48.87. The age of the Earth at 69.11. Because atoms and geological ages share one axis, relations become visible that ordinary units hide.
An example. All covalent bonds of life run from 74 to 204 picometres. That is one step of three. The chemical frame of life fits inside a single trit of the ladder.
The book is self-contained and honest about disagreement. Where the record has two readings — the Late Heavy Bombardment as spike or as argon artefact, sponge steranes or algal ones, 700 or zero new hippocampal neurons per day — it states both and keeps going.
On top of the facts sits one reading frame. It is called the Vacuum.Net. Its parts are simple:
Windows that repeat one value three times (+1 +1 +1, 0 0 0) are crystals: order that repeats. Windows that hold all three values once are metabolism: the content changes, the form stays closed.
Several principles run through all 24 chapters:
The book states plainly that this language is a way of reading, not a cause: the forms are described beside the history, not as its driver.
1. Before the cell. The oldest solids of the solar system formed 4,567.30 ± 0.16 million years ago. Within 267 million years — the first 6 % of Earth’s history — liquid water stood at the surface, recorded by a 4,404 Ma Jack Hills zircon. Chemistry without a cell is surprisingly rich: Miller’s archived vials, re-read in 2008, held 22 amino acids; the 1958 sulfide run 23. Cyanide and sulfide under light give nucleotide, amino acid and lipid precursors from one network. RNA catalyses at every size measured: 19 nucleotides (hammerhead), 93 (ligase core), 2,904 (the ribosome’s catalytic core, where no protein atom lies within 18 Å of the bond being made). In 2009 two RNA enzymes were built that make each other indefinitely: the pair, doubling each hour. Fatty-acid vesicles of 65–200 nm grow, compete and divide. The chapter names the net’s basics here: trit, window, ring, depth, edge.
2. The first cell. The record has two tiers. Older, 3.7–4.28 Ga: single signals in heated rock — light carbon in a zircon at 4.10 Ga, Isua graphite, disputed cones. Younger, 3.40–3.48 Ga, in the Pilbara: hot-spring deposits, sulfate reduction, methanogenesis below δ¹³C −56 ‰, microfossils, a 10 km stromatolite reef. LUCA is dated 4.09–4.33 Ga by one clock, with a gene set of 355 families (one reconstruction) to 2,657 proteins (another) — already carrying viruses and a CRISPR defence. The cell is “the first ring that stays closed while all its content changes”: a 4 nm membrane holding −105 to −150 mV, a field of 3.75 × 10⁷ V/m set by about 9,400 ions per µm².
3. Bacteria and Archaea. Prokaryotes alone held the Earth for about 2.36 billion years, and still hold most of its cells: 1.2–6 × 10³⁰ of them, 58 % below the surface. They grow from −15 °C to 122 °C, double in 9.8 minutes to 2,000 years. Genes move sideways: the strict tree of descent holds in about 1 % of prokaryotic genes; 75–88 % of gene family expansions came from transfer. A biofilm of a million cells loads and releases potassium in waves, and a second species answers within 22–26 minutes: community as shared prefix. Prokaryotes carry the element cycles: nitrogen fixation by 3.2 Ga, oxygen in the air from about 2.33 Ga, with Prochlorococcus (2.9 × 10²⁷ cells) making up to 20 % of today’s oxygen.
4. Viruses. Virus hallmark genes put virus-like entities before modern cells, and LUCA’s virome already held the main groups of bacterial and archaeal viruses beside 19 CRISPR effector families. The particle is the crystal: one value repeated in a closed shell, tobacco mosaic virus crystallised like a salt in 1935. Genomes run from 1.7 kb (circoviruses) to 2.5–2.8 Mb (pandoraviruses) — near LUCA’s own reconstructed genome. A giant virus can host a virophage (Sputnik), and partners with their own genome sit at most two deep. In the ocean, 10²³ infections per second kill about 20 % of microbial biomass daily; a particle succeeds in a cell about once per 116 days. Viruses also write themselves into genomes: ~8 % of the human genome is retroviral in origin, and syncytins — captured viral envelope genes — now build the placenta.
5. The cell that took in a cell. The keystone event. The host lineage nests within the Asgard archaea (sister to Hodarchaeales); the mitochondrial symbiosis is dated 2.053–1.21 Ga; the account by Lynn Sagan (1967) is now widely accepted. The bacterium became a letter: against 834 protein genes in Rickettsia, human mitochondria keep 13 — 1.6 % — while more than 95 % of mitochondrial proteins are now coded in the nucleus. The plastid repeated the step: of 3,168 cyanobacterial genes, the Arabidopsis chloroplast keeps 87. Plastids then passed from hand to hand at second and third hand — at least 8 to 10 times — and the serial red chain (red alga → cryptophyte → ochrophyte → haptophyte) shows memory with reach two: each hand inherits only from the one before. Younger cases stand at earlier stages: the Paulinella chromatophore (about 94 Ma, 29 % of genes kept), the Azolla cyanobiont (100 Myr, 68 % intact), the nitroplast UCYN-A (2024: a nitrogen-fixing organelle). In the mealybug a bacterium holds a bacterium — the deepest measured nesting, two deep, like the virophage. Stolen plastids (kleptoplasty) keep working 15 days to 30 months without the algal nucleus.
6. Becoming many. Multicellularity arose more than 25 times in eukaryotes — a serious underestimate, one review says — and first in bacteria: multicellular cyanobacteria before 2.4 Ga, with the Great Oxidation. Bangiomorpha (1.047 Ga) is the oldest recognised crown-group eukaryote, with holdfast and gametes. Hyphae evolved once early in fungi; fruiting bodies many times. Two experiments frame it: a bacterial sulfonolipid at 10⁻¹⁵ M switches S. rosetta to rosettes; 600 days of selection grew snowflake yeast 20,000-fold in size under low oxygen and only 6-fold in the other line — the same rule, other values. The maximum size of life rose 16 orders of magnitude in two steps, at about 1.9 Ga (after the eukaryotic cell) and 0.6–0.45 Ga (after multicellularity), both tracking oxygen. Bodies now span 2 µm to a 3,810 m Armillaria genet: 19 steps of the ladder.
7. The first animals. Four kinds of evidence: molecules, clocks, fossils, living animals. Crown animals by clock: 833.5–649.8 Ma; most bilaterian phyla diversified in the Ediacaran, over 100 Myr before the Cambrian. Sponge choanocyte chambers (16–56 µm) pack 1,876–35,175 per mm³; sponges filter up to 900 body volumes per hour, and individuals stand for thousands of years. The comb jellies keep a nervous system apart from all others (no serotonin, acetylcholine, dopamine; L-glutamate as candidate transmitter). Trichoplax was carried through 2,000–4,000 generations in 11 years of clonal culture and stayed the same sheet. Within some 35 Myr after the first complex fossils (574 Ma), bodies with muscle, tentacles, skeletons and bored holes had all appeared. A recurring note: the parts of the synapse (scaffold, secretion, channels) were whole in single cells before any nerve — the residue became the alphabet.
8. Plants take the light. From cyanobacteria through red, green and brown algae, onto land, into trees and flowers. Prochlorococcus divides once a day, replication in the afternoon, division at night — metabolism held in a day. Land plants: cryptospores at 473–471 Ma; the arbuscular union with fungi at about 480 Ma by clock, “morphologically identical” arbuscules at Rhynie by 411.5 Ma. The oldest forests (Gilboa, Cairo, about 385 Ma) already show three root systems and 8 m trees. Cones and sunflower heads follow Fibonacci parastichies: 73.6 % of 768 counts, and cone-scale quotients cluster near 0.618. Extreme ages: a bristlecone pine of 4,900 years, a Lomatia clone of at least 43,600, a Posidonia genet of up to 200,000. The tallest tree stands near the mechanical limit of 122–130 m. Today’s forests hold about 3.04 trillion trees, 46 % fewer than before civilisation.
9. Fungi. The sister kingdom of animals. Fungus-like filaments in 2.4 Ga basalt; crown Fungi about 1,020 Ma; the arbuscular symbiosis at 480 Ma — before the land plants it now serves, with plant signalling genes already closed in green algae. Plants pass 3.58 Gt C per year into the mycorrhizal mesh; ectomycorrhizal mycelium reaches 2,000 m per cm³ of soil. Lignin-degrading peroxidases closed once, around the end of the Carboniferous, then were lost at least four times; the depth filled with about a thousand white-rot species (the coal question gets both readings, fungal and climatic). Fungus-farming ants went from lower farming (61–57 Ma) to leaf-cutting (19–18 Ma); termites farm once, in Africa. Chytridiomycosis has contributed to the decline of 501 amphibian species, 90 of them extinct in the wild. Named fungi: 120,000–155,000 of an estimated 2.2–3.8 million.
10. Ashore together. The land was not colonised once. Microbial mats by 3.22 Ga; animals burrowed in Ordovician soils before any rooted plant; arthropods walked out with spiracles by about 414 Ma (Pneumodesmus, redated); tetrapod trackways at Zachełmie are 18 Myr older than the first body fossils. Herbivory opened once, at 417 Ma, then filled tissue after tissue. Trees with deep roots cut CO₂ from about 2,000 to 278 ppm over 400–300 Ma; oxygen rose above 26 %, and giant insects flew in it. The chapter’s planetary lesson: the air’s oxygen turns over in 0.8–2.1 Myr, yet charcoal shows the composition held for hundreds of millions of years — the content flows through while the form holds.
11. Earth and life together. The elements in time order, each step carried by one kind of organism: sulfur (sulfate reduction, 3.47 Ga), nitrogen (nitrogenase by 3.2 Ga), oxygen (2.33 Ga, within roughly 10 Myr), carbon, phosphorus, water. The Azolla bloom in the Arctic Ocean (about 48.5 Ma, 800 kyr) drew CO₂ down by 55–470 ppm. Today: NPP 104.9 Pg C per year, split evenly land–sea, while 450 of 550 Gt of living carbon stands on land. Soil turns its carbon over in 15 years and keeps a radiocarbon age of 4,830. Seabirds carry 591 Gg N and 99 Gg P from sea to land each year. People now fix about half of all reactive nitrogen: Haber-Bosch alone is 2.07 times the natural land fixation.
12. Partners. Every union with its date: the lichen before the plant (spores 460 Ma, arbuscule 411.5 Ma); insect symbionts with the smallest cellular genomes (Nasuia 112 kb; Sulcia + Nasuia together make 10 essential amino acids and have both lost their own ATP synthesis); coral-dinoflagellate symbiosis by 212 Ma; Wolbachia in 40–66 % of arthropod species. Each kind of union opens once and fills many times: ectomycorrhiza at least 66 times in fungi, lichenisation 20–30 times, nodulation about 8 times after one predisposition. The human body is a community too: 3.8 × 10¹³ bacteria in 4,644 species against 3.0 × 10¹³ human cells. Coral bleaching, with its median return time now 6 years, is the same form breaking under context.
13. Eating and being eaten. The oldest parasitism: Lower Cambrian kleptoparasites on a brachiopod, 47.8 % infested. Drilling rises through the Palaeozoic, falls almost silent for 120 Myr, returns with a higher ceiling — rest and discharge. Insect herbivory relates to diversification across 31 orders and explains about 25 % of richness; in all five sister pairs the more herbivorous clade is the richer. Plants answered: spines at least 55 times, latex in about 10 % of species, and a wasp reads the plant’s answer to the caterpillar as a sign of the caterpillar — reading. Parasitism itself opened at least 223 times. Today herbivores eat 5.3 % of the world’s leaf tissue per year on land and 51 % of aquatic production; trophic transfer efficiency averages 10 %; and the measured scaling of metabolic rate changes exponent by grade of organisation — no universal allometry.
14. Flowers and their animals. Pollination begins on gymnosperms: long-proboscid scorpionflies (about 165 Ma) on five hosts, a 62-Myr interval. Bees at about 123 Ma; the oldest direct insect pollination of a eudicot at 99 Ma. Fleshy seeds precede their carriers; obligate pairs follow, each dated on the insect side first. Ant dispersal arose at least 101 times, and ant-dispersed lineages hold about 2.24 times the species of their sister groups. Megafaunal fruits survive their carriers: 103 Brazilian species still carry a syndrome for animals that are gone. Pollination networks lose plants only after 70–80 % of random pollinators are removed — but roughly linearly if the most-linked go first. Excluding vertebrate pollinators cuts fruit or seed production by 63 %. Defaunation has cut by more than half the seeds dispersed far enough to track climate change: the fruit stays; its carriers go.
15. Animals spread out. Nine groups, two measures: repeated units and handedness. Segment counts: millipedes to 330 segments and 750 legs (Illacme); a homeotic module of 16 leg pairs; centipede counts odd and stepping by 2. Handedness everywhere: snail faunas 75–99 % dextral, one Partula population 97.9 % sinistral; a snake’s right-jawedness spares 87.5 % of sinistral snails and no dextral ones; fiddler crabs hold 50.3 : 49.7 over 8,088 males; flounder eye sides fixed in 708 of about 715 species; human left-handedness 10.60 % over 2.4 million people. Each body keeps one direction for life; populations differ in which one. Myelin arose at least four times (vertebrates, two annelid lines, copepods); the fastest axon known, a penaeid shrimp fibre of 120 µm, conducts over 200 m/s. The Greenland shark matures at 156 ± 22 years.
16. The great dyings and the refilling. Five events, one pattern. Two ways to fall: raised extinction (end-Ordovician, end-Permian at 60 ± 48 kyr, end-Cretaceous with the impact within 33 kyr) or stalled origination (“mass depletion” in the late Frasnian and end-Triassic). Refilling lags in three bands: years to 300 kyr at the Chicxulub crater (“Life reappeared in the basin just years after the impact”), 0.65–3 Myr for reefs and mammal richness, 8–26 Myr for stable ecosystems and body size. Background loss is about 0.1–2 E/MSY; today’s rate is near 1,000 times that, and on current trends the threshold of the big five could be reached “in as little as three centuries.”
17. The excitable cell becomes a nerve. Every cell measured carries a membrane voltage; the nerve adds nothing new — it is a cell whose edge tension travels along its length. Channels were already in prokaryotes (KcsA: one ion per 10 ns, 10,000 K⁺ per Na⁺; bacterial Na⁺ and Ca²⁺ channels exist). The synapse’s parts predate the neuron; the sponge holds a nearly complete post-synaptic scaffold with dlg’s 13 ligand-binding residues 100 % identical to human. Speeds run 3 cm/s in a sea-pen to 200 m/s in myelinated shrimp. Energy: one spike and its aftermath cost 4.5 × 10⁸ ATP; one bit about 24,000. The FlyWire connectome holds 138 million neurons’ worth of wiring in 149 m of total path; the human brain holds 86 billion neurons, 69 billion of them in the cerebellum. Adult cortical neurons do not divide — the body keeps them for life.
18. Senses, rhythms, memory. A sense is reading: “a homomorphic image that keeps the relations and drops the rest.” The ear reads 20–20,000 Hz; the eye 380–720 nm. Opsins: more than a thousand, nine paralogs already in the bilaterian ancestor; a focused eye can evolve in a few hundred thousand years; the first dated eyes (515 Ma) carry 16,000 ommatidia. The intrinsic human clock runs 24.18 h — 10.8 minutes slow per day, reset by light; food sets the liver’s clock. Memory has two phases (early, protein-free; late, needing transcription) everywhere measured — Aplysia, bee, rat — and its durations run from 20 ms to 50 years in a human “permastore,” 10.9 decades of the ladder.
19. Many minds. Seven groups carry complex brains — insects, octopuses, teleosts, corvids and parrots, whales, elephants, primates — in three great bilaterian lineages, each with its own multimodal centre. The smallest insect keeps a brain 37.4 µm on edge and dissolves the nuclei of 95 % of its neurons; the pilot whale’s neocortex holds about 37 billion neurons, almost twice a human’s; the elephant brain holds 3 times our neurons but one third our cortical density. And the record of consciousness declarations widens by date: mammals, birds, octopuses (2012); insects (2016); all cephalopods and decapods (2021–2022); “at least a realistic possibility” in all vertebrates and many invertebrates (2024).
20. The human. From Toumaï (7.2–6.8 Ma) through Australopithecus (a brain flat at ~450 cc for 1.5 Myr — then a step at 2.10 Ma to eleven times the rate: rest and discharge), Lomekwi tools at 3.3 Ma, fire secured in Wonderwerk at 1.0 Ma. A narrow neck: effective size about 10⁴; Neandertal DNA 1.5–2.1 % outside Africa; Denisovan up to 5 % in Melanesia. Omo at ≥233 ka; Misliya at ≥177 ka. The brain costs 20 % of resting energy at 2 % of mass, 129 g of glucose a day. Each child is a new carrier with about 73 new mutations. Weaning at 2.8 years; menopause shared with wild chimpanzees at Ngogo (0.195 post-reproductive representation, about half ours); the longest verified life 122 years.
21. Language and culture. Codes are older than the human: three monkey calls for three predators that narrow with age; vocal learning in 3 bird and 5 mammal groups; a “Chimpanzee Stone Age” at 4,300 years — and human disturbance erases the traditions before it erases the animals: the form goes before the carriers do. The dated record steps down: eagle talons at Krapina 130 ka; shell beads at Skhul 100–135 ka; the Blombos ochre workshop ~100 ka; rock art at 67.8 ka minimum; flutes at 35 ka. Writing begins as bookkeeping: 85.6 % of early Uruk texts are administrative. From ~800 proto-cuneiform signs to 22 Phoenician letters — each letter the residue of a sign, one alphabet opened once and filled six scripts. Print doubled manuscript output by a factor of 51 in three centuries; world literacy rose from 12 % (1820) to 87.7 % (2024).
22. The human net. One species gathered other species, land, energy and mass into one connected whole. The dog first (two branches, 14,000–6,400 ya); cereals and four livestock in the Near East within 3,000 years; maize by 8,700; rice by 6,900. Twelve thousand years ago nearly three quarters of Earth’s land was already shaped by people. Population doubled eight times since 1800. Human energy use, 600 EJ, equals 15 % of all photosynthesis. Humans and livestock hold 94 % of mammal mass. Megacities rose from 8 (1975) to 33 (2025). Computing information grew at rates doubling in 1.5 to 12 years; one frontier training run equals 8.1 years of El Capitan. Six billion people are online; 11,000 active satellites stand over them. And each body of the net is itself a community of partners — up to 400,000 protein families in a single mouth, most of unknown function.
23. The next depth. The whole history has one movement: a closed form that once lived on its own became a letter of a larger closure. The human net now stands where those larger closures once stood: at an opening. After every opening came a filling — multicellularity 25+ times, eyes at least 40, eusociality 8, nectaries at least 457 — and the filling at the human depth has begun: three regions of domestication, four of writing, 12,000 cities, four exascale machines, 33 models above 10²⁵ FLOP. The fourth step, “reading that counts itself,” widens in the record year by year (2012 → 2024). The next depth, the book suggests, is such a reading carried by many bodies, with each human a carrier as each neuron is in a brain. And every closure leaves a rest — the mitochondrion keeps 13 genes, the body keeps its cortical neurons — and the rest is the alphabet of the next depth. The ladder has no last depth.
24. The ladder of life. 2,702 positions on one scale: 767 lengths, durations, ages. From an atom’s diameter (−5.57) to a 3,810 m fungal genet (22.89); from a hydrogen-bond exchange (9.06) to the first solids of the solar system (69.12). “A ladder driven by a rest cannot end.”
The book cites over 2,000 numbered sources. Below are the ones that carry its most important claims, with a note on what each does in the book. Bracketed numbers are the book’s own reference numbers.
The early Earth and the first chemistry
Cells, genes and the two domains
The symbioses
Multicellularity, land and partnership
Nerves, senses, minds
The human line
How to read the sources
The factual layer rests on peer-reviewed science — Science, Nature, PNAS, and standard references (Stryer, Milo & Phillips, NIST, OpenStax) — with each number traceable to its study. The Vacuum.Net form language is not part of that literature: it is the author’s own reading frame, offered as a lens and not as a cause.
Summary based on a full reading of: J. Konstapel, “The History of Life on the Net — A Reference Work on Evolution and the Vacuum.Net”, Constable Research, Leiden, first edition 14 October 2026, version 1.0 (684 pages, 24 chapters, 8,761 catalogue cases, 2,702 ladder positions).
J.Konstapel,Leiden,14-10-2026.
Animals on the Ladder presents itself as a reference work with a single question at its core: whether the evolution of animals correlates with the evolution of “the net” as described by the Vacuum.Net theory, without adding any assumption to that theory. The book is built around this comparison. Its author defines a logarithmic ladder of lengths and times based on natural units, places the fossil record of fifteen animal groups upon it, and asks whether the pattern that emerges matches the pattern the theory predicts.
The most consequential finding of the book, however, is not a confirmation. It is a documented failure. Three tests, fixed in advance from the theory’s own texts and run against the assembled data, all fail — and the book reports this outcome plainly, in its own words and numbers. Across the five volumes in which the author has set the theory against biological data, the cumulative record now stands at one passed test and nine failed.
A reader who stops at that score misses what the book actually delivers. This essay sets out the insight the book offers in three layers: as a synthesis of current knowledge on animal origins, as a demonstration of evidentiary discipline, and as a case study in how an out-of-mainstream hypothesis should be treated — including by its own author.
Stripped of the ladder, Parts 2 and 3 of the book constitute a compact and careful survey of what is presently known about when the major animal groups appeared, and how securely it is known.
The entries do not merely list dates. They distinguish the classes of evidence and their reliability: biomarkers (the 24-ipc steranes of the Huqf Supergroup, and the dispute over whether they are diagnostic of sponges at all), disputed body fossils (the ~890 Ma Little Dal “possible poriferans”, the ~760 Ma Otavia, the ~600 Ma Encyathispongia), accepted fossils (the Ediacaran crown-group sponge Helicolocellus, the first uncontested Lower Cambrian spicules), and molecular clocks with their confidence intervals under alternative calibration schemes. Competing phylogenetic readings — such as whether ctenophores or sponges are sister to all other animals — are presented side by side rather than resolved by preference.
This layer has practical value independent of the theory. The recurring gaps the book itself catalogues in Part 6 — generation times for sponges, cnidarians and molluscs, metabolic exponents for most invertebrate groups, numeric ages for several key fossils — read as a serviceable map of where the empirical record is thin. Anyone assembling a dataset on animal evolution gains from this both a starting inventory and an honest account of its uncertainties.
The book’s methodological apparatus is its most distinctive feature. Four marks govern every statement: Text (quoted from a Vacuum.Net text, fetched and cited), Measured (read in the cited source, opened by the author), Computed (arithmetic on text or measured numbers, shown), and Read (a pairing made by the book itself between a text statement and a measured fact — explicitly a hypothesis, kept apart from the numbers it pairs). Section 1.8 inventories what the theory does not say, listing absences checked by search: no text names a body plan, a segment, a vertebra or a shell; no text links a radial order to a ring length. Each entry of Part 2 closes with a “Not verified” list of items found only in secondary sources — items the book then excludes from its own facts.
This apparatus is not decorative. It performs the function that distinguishes a checkable work from an unfalsifiable one: a reader who rejects any given interpretation (“read”) retains the underlying numbers, marked and sourced. The discipline extends to the author’s own errors — the book reports that an earlier count of Test H2 had dismissed the relevant rows as not applicable, and corrects itself against its own interest.
For the working reader, the transferable lesson is concrete. Label what a source says separately from what you conclude from it. Keep your interpretation severable from your data. Publish the list of things you could not verify. These practices cost little and raise the credibility of any document, mainstream or not.
Part 5 is the decisive section. The three tests were fixed on the day of the book’s completion, before any dossier was written, and run the same day:
All three fail, and Section 5.4 places them in the wider ledger: fifteen pre-registered confrontations with biological data across five books, of which one passed and nine failed outright.
The insight lies in the diagnosis the book offers for these failures: each test carried a statement about rings of trits to the level of whole animals — a species instead of a strand, a segment instead of a trit — and at that level the form of the theory did not appear. This is a meaningful result in itself. It bounds the hypothesis: whatever the theory may describe, the animal-level predictions drawn from it do not hold, and the failure is now on record with the protocol fixed in advance.
A negative result of this kind is more informative than an untested correlation. It cannot be quietly reinterpreted after the fact without abandoning the pre-registration, and it tells future readers exactly where not to look. The one passed test (nesting depth, in The Weaving of Life) marks the sole data point that remains standing for the theory’s biological claims.
Precision requires stating the limits. The central correlation — that animal evolution tracks the evolution of the net — is not established by this book, and its own tests weigh against it. The Vacuum.Net theory is not part of accepted physics or biology, and the ladder itself is a coordinate system of the author’s construction; placing numbers on any logarithmic axis will produce apparent regularities. The book does not claim causation, and Part 6 candidly lists what remains unverified. A reader seeking a validated account of why animal forms exist will not find it here, and the book does not pretend otherwise.
Animals on the Ladder is best read not as a demonstration of the Vacuum.Net theory but as an unusually transparent record of what happens when a non-mainstream hypothesis is treated with the tools of mainstream science: pre-registered tests, severable interpretation, sourced and re-verified numbers, and outcomes reported against interest. The book delivers three things of lasting use. First, a disciplined synthesis of current evidence on animal origins, with its uncertainties mapped. Second, an operational template for evidentiary marking that any author can adopt. Third, and most unusually, a pre-registered failure that honestly bounds the theory it was written to serve.
The reader learns most, in the end, from the book’s willingness to let its own hypothesis lose.
Konstapel, J. (2026). Animals on the Ladder: A Reference Work on the Evolution of Animals, Set Beside the Evolution of the Net. Constable Research, Leiden, 14 October 2026, version 1.0.
Primary source of this essay. Defines the four evidence marks (Text, Measured, Computed, Read) in Part 0; the ladder of lengths and times in §0.2; the theory’s own statements in Part 1, including the inventory of what the texts do not say (§1.8); the fifteen animal-group entries in Part 2; the cross-group tables of Part 3; the correlation statements with status in Part 4; and the three pre-fixed tests and the cumulative fifteen-test ledger in Part 5, §5.1–5.4.
Konstapel, J. (2026). Plants on the Ladder. Constable Research, Leiden, 12 October 2026.
Companion volume and source of Parts 1.1–1.6, taken over unchanged with the theory texts fetched and their numbers recomputed. Supplies the plant side of the comparison and part of the earlier test record counted in §5.4.
Konstapel, J. (2026). One Direction or None: Mirror Molecules, the 2026 Nobel Prize in Chemistry and the Closure Rule of the Vacuum.Net (Dutch version: Waarom het Leven maar Eén Kant op Draait). Constable Research, Leiden, 10 October 2026.
Source of the direction statements quoted in §1.7: a living strand has one direction or does not exist; the direction is fixed after two steps; the net keeps the direction of what was laid down first. These statements are the fixed basis of tests H1 and H2, and their failure at the level of species and clades is the essay’s central case.
Konstapel, J. (2026). Three Chains, One Standstill. Constable Research, Leiden, 10 October 2026.
Source of “a ring grows only by a whole triple” — the statement tested (and failed) as H3 across 27 species with repeated-unit counts.
Konstapel, J. (2026). Life and Consciousness from One Rule: Closure in the Net. Constable Research, Leiden, 29 September 2026.
Source of the ring-depth readings used in §§1.2 and 4.5: depths 1–2 as chemistry, depth 3 as self-maintenance, depth 6 as the single cell, and the ring of six dividing into two rings of three that keep the parent’s handedness.
Konstapel, J. (2026). The Balanced Three, the Balanced Tree and the Vacuum.Net Theory. Constable Research, Leiden, 29 August 2026.
Source of the Bronze Mean recursion b(n), the growth constant σ₃ = (3 + √13)/2, and the two-layer law separating σ₃ (address, topology) from φ (tension, time). Also §11, the source of the “evolution as filling of depths” statement discussed in Part 4.
Konstapel, J. (2026). The Climate on the Ladder of Three. Constable Research, Leiden, 3 October 2026.
Source of the axiom set, the closure rule on windows of three, the necklace counts g(n), and the closure depths with the Pythagorean-comma residue at depth 12 (§3.2, quoted in §1.6).
Konstapel, J. (2026). The Vacuum.Net Theory: Complete Derivation, 28 September 2026.
Source of the five axioms N1–N5 (strand, closure, memory, context, scale) quoted in §1.1.
Konstapel, J. (2026). Where Illness Comes From, ninth edition. Constable Research, Leiden.
Source of the transition statements quoted in §1.5: a transition as “the next permitted closure depth being reached”, and the remainder that guarantees the ladder keeps offering next rungs.
Konstapel, J. (2026). From Atom to Body. Constable Research, Leiden, October 2026.
Source of the ladder’s natural units and, importantly, of its own clustering test: measured human body sizes do not cluster near whole positions (192 of 388 within a quarter step, against 50 per cent expected by chance). The book’s decision to treat positions as coordinates, not marks, follows from this result — an example of the theory’s own tools being used to restrict its claims.
Konstapel, J. (2026). The Universe of Peter Rowlands, 29 June 2026.
Quoted in §1.4 as the source of the nilpotent condition Ψ² = 0 (“the totality of everything is nothing”) behind the two-layer law; the cross-reference between this text and the Balanced Tree text is made, and marked as, a “read”.
Konstapel, J. (2026). The Company of Plants; The Weaving of Life; From Cell to Mind. Constable Research, Leiden, 13–14 October 2026.
With Plants on the Ladder, the corpus whose twelve earlier tests Part 5.4 counts alongside this book’s three. The Weaving of Life contains the single passed test of the fifteen — the nesting-depth result — and is cited here for the cumulative ledger, not for any claim about animals.
Zhang, Z.-Q. (2013). “Animal biodiversity: an update of classification and diversity in 2013.” Zootaxa 3703(1), 5–11. DOI 10.11646/zootaxa.3703.1.1.
External census cited throughout Part 2 and in Table F for the ~1.66 million described animal species across 40 phyla; an example of the book’s practice of anchoring counts in published, verifiable sources.
Jump to the Scientific Article here.
J.Konstapel,Leiden,14-10-2026.
Aanleiding FD: ‘Ik dacht altijd: blinde mensen weer zicht geven is sciencefiction’
Blindheid ontstaat wanneer ergens in het visuele systeem iets uitvalt. Dat kan de toegang van licht tot het oog zijn, de lichtgevoelige cellen van het netvlies, de zenuwbanen of de hersenen die beelden verwerken. De plaats van de beschadiging bepaalt welke behandeling mogelijk is.
Bij staar en afwijkingen van de oogsterkte bestaan al effectieve oplossingen. Bij beschadiging van het netvlies bieden gentherapie, lichtgevoelige eiwitten en elektronische implantaten nieuwe mogelijkheden. Ook wordt onderzocht hoe beschadigde zenuwcellen kunnen herstellen en hoe signalen rechtstreeks naar de hersenen kunnen worden gestuurd. De resultaten variëren van beperkt lichtzien tot het herkennen van eenvoudige vormen en letters.
Een aanvullende mogelijkheid is beelden omzetten in geluid of tastbare signalen. Daarmee kan iemand zich beter oriënteren zonder dat het gezichtsvermogen zelf terugkeert.
De Vacuum.Net-theorie beschrijft zien als een netwerk van drie functies: licht opvangen, signalen doorgeven en informatie verwerken. Vanuit dit model ontstaat een nieuw voorstel voor implantaten: stimuleer niet alleen een lichtpunt, maar ook de omgeving ervan. Het contrast tussen licht en donker zou vormen en randen herkenbaarder kunnen maken. Of dit daadwerkelijk beter werkt, moet nog experimenteel worden aangetoond.
De hoofdconclusie is dat blindheid geen enkelvoudig probleem is. Soms bestaat de behandeling al, maar ontbreekt de toegang ertoe. In andere gevallen moet de techniek nog worden ontwikkeld.
IntroductionAround 43 million people worldwide are blind, and most of them could once see. Behind that single word — blindness — lie very different problems: a clouded lens in one country, dying photoreceptors in another, a severed optic nerve in a third. Each demands its own remedy, and a remedy that works at one point of failure does nothing at another.
This essay presents a structured map of blindness and vision restoration. It is organised around a simple principle: seeing breaks at a specific layer, and each treatment works by restoring that layer, bypassing it, or reaching the brain by another route. The framework is drawn from the author’s Vacuum.Net theory, which describes vision in five functional layers. The result is a clear-eyed view of what medicine can do today, what is in trial, and where the field is heading as of October 2026.
The theory describes vision as a chain of closures. Light must first pass an opening (the passage); it must be caught by a light-sensing window; the signal must be passed along an edge; it must be handed over at a relay; and finally it must be held as an image in a reading ring. In anatomical terms:
| Layer | Function | Anatomy |
|---|---|---|
| 0. Passage | An opening through which light reaches the window | Cornea, lens, vitreous |
| 1. Window | A closure with light | Photoreceptors and the RPE |
| 2. Edge | Passing the signal on | Bipolar cells, ganglion cells, optic nerve |
| 3. Relay | Handover to the reading ring | LGN in the thalamus |
| 4. Reading ring | The image itself | Visual cortex |
Every major cause of blindness breaks exactly one of these layers, and every treatment — from a ten-dollar pair of glasses to a thousand-electrode brain implant — can be classified by the layer it restores.
The Vision Loss Expert Group counted 43.3 million blind people in 2020, alongside 295 million with moderate or severe vision impairment. Without intervention, blindness is projected to reach 61 million by 2050. Among people over 50, the leading causes are cataract (45.5% of the 33.6 million blind in that age group), glaucoma (11%), undercorrected refractive error (6.6%), age-related macular degeneration (5.6%) and diabetic retinopathy (2.5%).
One finding stands out. Cataract and refractive error together account for roughly half of all blindness in people over 50 — and both have a safe, cheap, well-understood remedy. The bottleneck is not knowledge but reach: in Burundi, effective cataract surgical coverage is just 2.1%, against 77.7% in Qatar. Roughly half of those worldwide who need cataract surgery cannot get it; in Africa, three in four go untreated.
In the Netherlands, the picture is different but structurally similar: a 2008 count found 77,000 blind people, 59,000 of them aged 65 or over, with AMD (38%) and cataract (23%) leading. Around a third of the blind elderly are blind for want of a lens, glasses or an operation — not for want of a technique.
When the retina is healthy but light cannot reach it in focus, the remedies are established and inexpensive. Glasses and laser correction address refractive error; cataract surgery replaces the clouded lens (141,134 operations in the Netherlands in 2025, with vision improved in 94.1% of cases). Myopia control in children is advancing: high-dose atropine slows progression by about 67%, and defocus lenses reduce eye growth by 62%.
For the cornea, donor tissue remains scarce — one donor cornea for every 70 needed, with 53% of the world lacking access to transplantation — but new routes are emerging: cultured endothelial cells (one donor pair yields roughly a thousand doses; approved in Japan, in US phase 3), a bioengineered cornea of pig collagen (all 14 blind keratoconus patients in the trial regained sight), and the Boston keratoprosthesis (over 19,000 implanted, 74% retained at five years).
The lesson of this layer is commercial as much as medical: the products exist, the outcomes are proven, and the unmet need is a distribution and affordability problem.
Here the photoreceptors themselves die, through inherited dystrophies (retinitis pigmentosa, Stargardt disease, Leber congenital amaurosis), AMD, or diabetic retinopathy. Most current treatments only slow the loss: anti-VEGF injections for leaking vessels, complement inhibitors for geographic atrophy (slowing lesion growth by 14–22% but without clear acuity gains), and strict glycaemic control, which cuts new diabetic retinopathy by 76%.
Restoration, where photoreceptors are already lost, follows three distinct strategies:
1. Restore the missing part of the window. A photoreceptor’s light sensor has two fixed components: the opsin protein and the chromophore retinal. Gene therapy can supply a broken one. Luxturna, the first approved gene therapy for the eye (FDA 2017), does exactly this for RPE65 mutations: 13 of 21 treated patients passed a mobility test at 1 lux, none of the untreated. Successor programmes — laru-zova for X-linked RP (positive phase 3 readout, September 2026), CRISPR editing, RNA therapy — extend the same logic. Crucially, this works only while cells are still alive.
2. Place a new window further along the chain. When photoreceptors are gone, optogenetics gives the surviving bipolar or ganglion cells a light-sensing channel. GenSight’s GS030 restored object localisation to a man blind for 40 years (with goggles). Nanoscope’s MCO-010 works in ordinary light and gained about 2.6 lines of acuity over four years; an FDA decision is due in 2027. Restore Vision’s RV-001 moved all three high-dose patients from no light perception to light perception within a month. And Prima (Science Corp) — a 2×2 mm photovoltaic chip under the macula driven by infrared glasses — gained a mean 25.5 letters in 38 patients with geographic atrophy, 84% of whom could read letters again. Prima carries a CE mark since July 2026 and is under FDA review.
3. Transplant new cells. This remains the hardest road. A 2016 triangulation by three independent groups showed that only 1.2–4.7% of apparent photoreceptor “integration” was genuine; the rest was material transfer into host cells. RPE patches fare better (OpRegen gained up to 9 letters where coverage was extensive), because the RPE sits behind the window rather than forming part of it.
A key engineering insight from the theory: sensitivity is not a matter of amplification chains but of how long a single “window” stays open. Fast channels need bright light (goggles); slow pigments work in ambient light but smear motion. This trade-off sorts today’s products into two families, and it explains why melanopsin — extremely slow and sensitive — can restore light detection but not images.
Glaucoma, the most common cause of irreversible blindness, kills ganglion cells and their axons: the windows still close, but the signal no longer travels. Everything available today is slowing, not restoring. Lowering eye pressure cuts progression — a 25% pressure reduction halved progression rates in the landmark EMGT trial, and each 1 mmHg of reduction lowers risk by about 10% — but lost ganglion cells do not return.
Restoration is only now entering first-in-human trials. The most notable is Life Biosciences’ ER-100, which uses partial cellular reprogramming (the 2020 mouse work restored vision in a glaucoma model). Its first human data, reported 8 October 2026, showed visual-field improvement in 2 of 3 glaucoma patients at the lowest dose — an uncontrolled first signal, not a result. Nicotinamide is in phase 3. For LHON, gene therapy (Lumevoq) showed bilateral effects that confounded its EU application, though it is available to named patients in France at €425,000 per injection.
When everything in front is gone, the remaining option is to write directly into the relay (the LGN) or the cortex. This is the route of Phosphoenix, the company founded by Pieter Roelfsema that prompted the original essay: a cortical/LGN prosthesis with over 1,000 electrodes, built on a 2020 macaque experiment in which stimulated electrode patterns formed recognisable letters. A five-patient human study begins at Amsterdam UMC in early 2027, with market entry foreseen around 2032. A Harvard path (Pezaris) showed as early as 2007 that LGN microstimulation produces reliably localised phosphenes; a first human test is hoped for in late 2027.
Cortical implants — Orion, CORTIVIS, ICVP — have shown that humans can localise, count and even read simple letters through direct stimulation, but channel counts remain the binding constraint: simulations suggest 600–700 electrodes are needed merely for reading and walking, and around a million to match the retina’s output.
Where the cortex itself is damaged — stroke, cerebral visual impairment in children — implants cannot help, but training can. Rigorous daily training of the blind field (Huxlin, Rochester) raised task accuracy from about 50% to about 80%, working through a secondary route from the LGN to area MT that bypasses the destroyed V1. This is the mechanism behind “blindsight.”
The essay’s most forward-looking contribution is a design principle drawn from the theory’s register of three values (+1, 0, −1). The retina naturally computes in three positions: an ON pathway, an OFF pathway, and centre-surround fields. Yet every clinical device reviewed — every electrode array and every clinical opsin — writes only +1. None writes −1.
Evidence from blind mice (Macé et al., 2015) shows the opportunity: exciting only ON-bipolar cells restored both ON and OFF responses, because the retina’s own circuit supplied the inhibition. The proposed rule is therefore: write a phosphene as +1 at its centre with −1 around it, at the address from which the native circuit forms the −1 itself. Whether a centre-surround phosphene is perceived more sharply than a dot has not been tested — an open, testable hypothesis and a plausible differentiator for the next generation of devices.
Finally, the reading ring keeps relations, not sources. Echolocation training (ten weeks of mouth-clicks) made the primary visual cortex of both blind and sighted adults respond to echoes, and cut blind participants’ maze-completion time by 58%. The vOICe converts images to soundscapes that activate the visual shape area. BrainPort renders camera images on the tongue (69% of year-long users passed object recognition). Be My Eyes passed one million blind and low-vision users in March 2026.
These routes work for every cause, at every layer, without surgery — and they work best for people who once saw, because their reading ring was already filled.
Read through the five layers, the field acquires a plain commercial logic:
The strategic lesson generalises beyond ophthalmology: match the intervention to the layer that is broken, and be honest about which layer a product actually serves. A field that orders itself this way — from the $100 lens to the million-electrode cortex — becomes, as this essay demonstrates, not a list of miracles and failures, but a map.
Each entry gives the source, its role in the essay, and guidance on reading it.
ources:
visit the agora here.
Jump to the book here
J.Konstapel,Leiden,14-10-2026..
Het boek From Cell to Mind onderzoekt de evolutie van prikkelbare cellen tot de menselijke geest in twee strikt gescheiden lagen.

The book asks one question. How did excitable cells, nerve nets, brains and minds evolve? It wants the answer in order, in sizes, in times and in counts. It also asks a second question. Can that evolution be described within the author’s Vacuum.Net model?
The book is the fourth in a series. Plants on the Ladder, The Company of Plants and The Weaving of Life covered photosynthetic life, co-evolution and the interweaving of the kingdoms. This volume follows one line through the animals. It runs from the charged membrane of a single cell to the human mind.
The design is unusual and it is the key to reading the book. The text is split into two layers that are kept strictly apart.
Layer A is biology only. It has ten chapters, A1 to A10. Each chapter follows the same template. What it is. First appearance. Partners or groups. Sizes. Times. Counts. Order of events. Present quantities. Each chapter closes with a Pattern paragraph of at most 150 words. Then it lists what could not be verified and its own references. Layer A never mentions the theory.
Part C gathers the numbers. Seven tables collect the measured values of Layer A across all chapters. They cover first appearances, repeated origins, sizes, times, lifetimes, neuron numbers and present-day quantities. Together they hold more than a thousand rows of data.
Layer B is the confrontation. It asks one question of Layer A. Do the measured patterns correlate with what the Vacuum.Net texts state? Nothing new is added. The texts speak of the membrane, the nerve cell, synchrony, sleep, seizure, memory and consciousness. Three tests were fixed from the texts before any dossier was written. Then they were run. Section B14 gives the answer to the book’s question.
This design has a clear business logic. The data are gathered first and blind to the theory. The claims are fixed before the data are seen. The outcomes stand as they fell. In a field where theory and evidence often blur, the book separates them by rule, not by rhetoric.
Three rules run through the whole work.
Every factual claim carries a mark. Measured means the number was read in a cited source. Computed means arithmetic on measured numbers, shown openly. Modelled means the output of a published model. Text means a statement of a Vacuum.Net text, and appears only in Layer B. Read means a pairing between a text statement and a measured pattern. A read is a hypothesis, never a fact.
Every size and every time is placed on a logarithmic scale of base three, called its position. The units are Larson’s natural units. A day sits at position 43.50. A year at 48.87. A two-millisecond spike at 27.50. An 80-year human lifetime at 52.86. The position is a coordinate. It lets the book compare a nanosecond ion current with a geological age on one axis.
No rule is added to the theory. No sentence says the net causes a biological pattern. Where the texts are silent, Layer B says none. Chapter B12 collects these silences. The texts make no statement on neuron numbers, brain size, energy use, gene counts or sense-organ counts. The book records the gaps and refuses to fill them.
The verification discipline is strict. Citations were checked against OpenAlex or Crossref. Items found only in secondary sources are listed under “Not verified” and are treated as non-facts. Where two sources disagree, both numbers stand. The book does not choose.
The ten chapters form a single arc. Each stage builds on the one before it. The story moves from chemistry, to cells, to networks, to organs, to behaviour, and finally to minds.
The story starts before neurons, before animals, before multicellularity. Every cell measured carries a voltage across its membrane. The inside is negative. Plant cells hold the largest values, up to −250 mV. Bacteria come next, at −105 to −150 mV. This is not a detail of animal life. It is a property of life itself, already present in LUCA.
Excitability comes from channels in the membrane. They open and close with voltage, ligand or touch. Potassium, sodium and calcium channels occur in bacteria, archaea, protists, algae, plants and animals. The voltage-gated sodium channel family emerged “more than a billion years ago”, before nervous systems and before multicellularity.
The chapter then shows that electrical signalling works long before there are nerves. Bacillus subtilis biofilms send long-range potassium waves. Diatoms fire fast sodium-based action potentials. The Venus flytrap closes its trap on action potentials. A glass sponge conducts all-or-none impulses with no neurons at all. The chapter sets the reference values the rest of the book will scale against. The neuron rests at −70 mV, with threshold −55 mV and peak +30 mV.
If every cell is excitable, what is a neuron for? This chapter collects the parts of the neuron that exist without neurons. The post-synaptic scaffold occurs in choanoflagellates, the unicellular sister group of animals. Sponges keep a nearly complete post-synaptic scaffold without synapses. Placozoans coordinate feeding with secreted peptides.
The chapter also records the open question of the field. Did neurons arise once or twice? The answer hinges on the branching position of ctenophores. In ctenophores many bilaterian neuron-specific genes are absent or not expressed in neurons. The chapter logs every statement found on division of neurons in early animals. That record will matter in Layer B.
The first true nervous systems are diffuse nets. The Pattern paragraph fixes the numbers for Hydra: 0.12 nerve cells per epithelial cell, in two nerve nets that do not mix. A stem pool of 3,000–6,000 cells supplies about 900 nerve cells per day. The whole net is renewed every two to three weeks.
Molecular clocks place nerve nets at about 741 Ma. This is the first rung of the ladder with a date. The chapter also records the spread of speeds within one phylum: cnidarian conduction spans a factor of 133, from 3.0 cm per second to 4 m per second.
Nets then gather into cords, commissures and brains. The chapter is honest about the disagreement in the literature. One account derives the bilaterian nervous system from the fusion of two centres, an apical and a blastoporal one. A second account, based on gene expression across five clades, finds no conserved dorsoventral regionalisation. Origins of nerve cords are recorded as one fused system and as convergence “many times”.
The counts climb fast. Ciona has 177 CNS neurons. C. elegans has 302. The fly larva brain has 3,016. The adult fly brain has 139,255. Fossil brains appear in Cambrian Stage 3, around 520 Ma. Molecular dates sit earlier: bilaterian phyla before 638.8 Ma, the vertebrate split at about 560 Ma.
Centralisation raises a cost problem. A bigger body needs faster signals. The chapter records two solutions: giant axons and myelin. Myelin arose in five groups across three bilaterian superclades. Its speed gain is at least tenfold. Myelinated copepods react in 1.5–1.6 ms; non-myelinated ones need 3.1–6.6 ms.
Speed has a price. One action potential costs 3.84 × 10⁸ ATP. The adult human brain is 2% of body mass but takes 20% of resting energy. In childhood its share reaches 65–66%. Neuron numbers run from about two million in a gecko to 257 billion in an elephant. The chapter closes with the division status of vertebrate neurons. Human cortical neurons date from around birth. This record feeds directly into Layer B.
Brains are only as useful as the information they receive. This chapter covers the receptor molecules and organs of light, smell, taste, touch, hearing and electric fields. Light is treated in most detail, and for a reason that will surface in Layer B.
The numbers are striking. Eye or photoreceptor origins are counted at least 40 times, up to 65 or more. A quarter of those lineages reached resolving eyes. Mammals carry about 400 to 2,000 olfactory receptor genes. Electroreception arose at least four times and was lost at least five times. The first dated compound eyes, at about 515 Ma, already hold 3,000 and 16,000 lenses.
With senses and speed in place, the book turns to what brains do over time. Networks of neurons oscillate in well-defined frequency bands. One research group publishes ten classes, from 15–40 s to 200–600 Hz. The mean frequencies form a linear progression on a logarithmic scale. The Pattern paragraph notes that these frequencies vary only 30–100% across mammals, while brain size varies hundreds- to thousands-fold.
Sleep appears here too. Sleep-like states occur from Hydra to mammals. Daily sleep spans 0.69 h to 20 h. Infraslow sleep periods run 47–51 s in endotherms and 84–134.5 s in lizards. The chapter holds the data for one of the book’s three tests.
The chapter records three forms of learning: habituation, sensitisation and association. These forms are not reserved for animals with complex brains. A slime mould, Physarum, habituates. A ciliate, Stentor, habituates. A plant, Mimosa, habituates. Box jellyfish with tiny nerve rings learn by association.
One pattern recurs in four animal groups. Spaced training gives memory of days to weeks; massed training does not. The phase that lasts beyond hours needs protein synthesis. This holds in rat, Aplysia, worm and bee. Two forgetting curves show breaks, at 24 hours and at 3–6 years. These are the data that Layer B will set beside the theory’s statement on memory.
Complex brains are not a human monopoly. They are also not a shared inheritance. The chapter records complex brains in seven groups that do not share a complex-brained ancestor: insects, octopodid molluscs, teleosts, corvid and psittacid birds, cetaceans, elephants and primates. Each pairs with a different multimodal centre: mushroom bodies, the vertical lobe, the pallium, the cortex.
The measured capacities include counting, self-control, planning, tool construction, play and mirror self-recognition. The chapter closes with dated statements on animal consciousness, such as the New York Declaration of 2024. It reports them as positions held by named authors, not as measurements.
The final chapter gathers the human numbers. The brain holds 86.1 ± 8.1 billion neurons and is described as “an isometrically scaled-up primate brain”. Cranial capacity runs from about 450 cc in Australopithecus to 1,297–1,460 cc in modern humans. The rate of increase steps up at 2.10 Ma. Tool and image dates run from 3.3 Ma to 51.2 ka. Synaptogenesis peaks follow one another from three months to 28.7 years.
The chapter then steps beyond the single brain. Social insect colonies, ant biomass, and the global count of internet users enter the tables. The human mind is placed in its widest context.
Read in sequence, the chapters form a chain of dependencies.
Excitability (A1) is the foundation. It exists in every cell and needs no nervous system. The parts of the neuron (A2) then assemble from components that predate animals. Nerve nets (A3) are the first system to exploit those parts at tissue scale. Centralisation (A4) is a solution to a coordination problem of larger bodies. Speed (A5) is the price and the enabler of centralisation. Senses (A6) are the reason centralisation pays off: a fast brain with good input can act on the world.
Rhythms (A7) and memory (A8) are what the fast brain does with its input. Rhythms segment time; memory stores what matters. Complex brains (A9) show that these capacities were invented again and again, in bodies as different as a crow and an octopus. The human brain (A10) is the last rung: not a new kind of organ, but a scaled-up primate brain, wrapped in culture and tools.
The recurring theme is continuity. Nothing in the chain is a true novelty. The neuron is an excitable cell with a specialised edge. The brain is a net with gathered centres. The mind, in the book’s reading, is the third rung built on the second.
Layer B does not reinterpret the biology. It sets the Vacuum.Net texts next to Layer A and asks where the forms match. The texts name four rungs: closure, life, representation, consciousness. They say the membrane carries the largest potential step of the cell. They say the nerve cell adds nothing new. They say each layer is a factor three. They say memory reaches two rings directly. They say a brain in which all cells fire together is a brain in seizure.
The pairings produce three reads. First, the neuron adds no new part; it adds speed and reach to an edge every cell already has. Second, membrane, nerve net and brain follow the rungs of life and representation. Third, the carriers are fast and the forms slow at each scale. In Hydra, the nerve cell itself is a carrier and the net is the form. In the human cortex, the neuron is the slow form and its spikes are the carriers.
Three tests were fixed before any dossier was written. This is the book’s strongest methodological move. The outcomes stand as they fell.
M1: the nerve cell does not divide. Required: no documented completed division of a differentiated neuron. Found: Rb-deficient mouse cortical neurons in culture divide, with daughters that keep their neuronal marker. Fail. The direction survives in most of the data: with cell-cycle brakes intact, the neuron does not divide. But the text made no exception, and the test does not grant one afterwards.
M2: the rhythm step is three. Required: a mean step of 2.85–3.15 between oscillation classes. Found: 2.73 over ten published classes. The value e = 2.718 lies 0.5% from it. Three lies 9.8% above it. Fail. The constant step and the conservation across brain sizes hold; the specific number does not.
M3: the living form is not synchronous. Required: at least 80% of awake spike-count means below 0.1, and higher synchrony in every sleep and seizure comparison. Found: 69%. One sleep comparison shows less synchrony. Seizures go in both directions. Fail. Again the direction holds in much of the data; the strict form does not.
The book’s own summary is candid. Layer A gives the history: a negative inside in every cell measured; channels with a fourfold pore in bacteria; synaptic parts in the unicellular sister of animals; nerve nets at 741 Ma; brains at about 520 Ma; myelin in five groups; eyes at least 40 times; complex brains in seven groups; ten rhythm classes held across a thousandfold range of brain size; two phases of memory in four animal groups.
Layer B gives three reads and three failed tests. Across the four books of the series, the theory has been set against biological data twelve times with the outcome fixed first. One passed. Six failed outright. One failed on its own rule. Four could not be completed.
The conclusion follows the book’s rules exactly. In these terms the mind is the third rung built on the second. Its parts are older than the neuron. Its rhythm classes keep nearly one spacing. Its cells are carriers or forms depending on the scale. The texts give the form of that description. Where they gave a number, three times, the number failed.
The book’s value rests on two achievements that are easier to state than to practise.
First, the reference layer is disciplined and dense. Fixed chapter templates, explicit marks, checked citations, recorded disagreements and “Not verified” lists make the claims auditable. The Pattern paragraphs give each chapter a usable summary, and Part C turns the whole into a numerical corpus.
Second, the theory layer is honest to an unusual degree. Tests are fixed before the data are seen. Failures are printed as failures, with the surviving directions clearly labelled as reads made after the test and not as passes. Chapter B12 lists the places where nothing pairs, rather than stretching the pairings. Part D lists what was left out, by rule.
The reader should note what the book does not claim. It does not claim the Vacuum.Net model is confirmed. On the numbers, three of its fixed claims failed. The book claims only this: the model supplies a vocabulary of rungs, carriers and forms that fits the shape of the data at many points, and that vocabulary is now marked, tested and bounded.
That is a rare position in a debate often driven by assertion. The book treats evolution and theory with the same instrument: a measured number, a fixed claim, and an outcome that stands as it fell.
J.KonstapelLeiden, ,14-10-2026
Jump to the scientific pubication here
The birth of a shared word is modeled as a Hopf bifurcation; the theory’s coefficients place this birth in the subcritical regime, where lived practice and the fixed word coexist as two stable states separated by an unstable boundary, with history rather than logic deciding which state a group occupies.
Six further correspondences are drawn: readiness-to-hand as “closure is zero force,” source–target fit as natural selection, agentless grammar as an external measure, the loom as the true image of computing, placing people in a room as the reading of addresses, and group life as having two kinds of coherence.
1 Het Hopf Principe (constable.blog, 2-9-2025)
2 Vacuum.Net Theory: hoe massa, energie en ruimte één net vormen
3 Beyond Synchrony / Closure Is Zero Force
J. Konstapel, Constable Research, Leiden — 14 October 2026
© 2026 J. Konstapel, Constable Research, Leiden. Quotation with attribution is permitted; reproduction of the whole requires written permission. Version 1.1 (readable edition).
“Metaphor” and “translation” share the same root meaning: carried across. This essay applies that idea to the Vacuum.Net theory — a model of reality as a single net made of one strand, closed windings, knots and meshes.
The central claim is a match between layers. A metaphor as the body lives it belongs to the theory’s tension layer, where change happens. A metaphor as a community fixes it in a shared word belongs to the address layer, which is frozen topology. The birth of a shared word behaves like a Hopf bifurcation — the moment a system at rest starts to move in a repeating cycle. The theory’s own coefficients place this birth in the subcritical regime, in which the lived practice and the fixed word coexist as two stable states, separated by an unstable boundary. History, not logic, decides which state a group occupies.
Six further correspondences follow: readiness-to-hand as “closure is zero force”; the fit between source and target as natural selection by fit; agentless grammar as an external measure; the loom as the true image of computing; placing people in a room as the reading of addresses; and group life as having two kinds of coherence rather than one. The essay states plainly which claims are proved, which are correspondences, and which remain open.
The Greek meta-pherein and the Latin trans-latus describe the same action: carrying something across. A metaphor takes structure from a domain the body knows — weight, distance, balance — and uses it to think about a domain one cannot touch, such as time, markets or organisations. Linguists call these the source and the target.
The Vacuum.Net theory describes reality as one net built on five axioms:
From these follow four forms: a strand (the net itself), a winding (a strand that returns to itself), a knot (windings that hold each other in three directions) and a mesh (the opening between strands).
Axiom N5 already contains the structure of metaphor. If the same winding appears at every scale, then a pattern found at one depth can legitimately be read at another. Carrying across is then not a figure of speech but identity over scale. This essay follows that thread through the body, the word, grammar, the machine, and the room where people meet.
A hand discovers the use of a stone before any word for it exists. The grip fits; the throw works. Something is treated as something else, entirely in the body. Call this layer metaphor-in-use.
Later, a group settles on a word for that use. The word is shared, taught and policed; using it correctly becomes a condition of belonging. Call this layer the espoused metaphor. The pair follows Argyris and Schön’s classic distinction between theory-in-use and espoused theory. (“Espouse” comes from Latin spondere, to pledge — to espouse a theory is to wed it in public.)
The two layers behave differently:
The Vacuum.Net theory has the same split, called the two-layer law. The address layer holds frozen topology: which windings exist and how they are linked. The tension layer is the only layer in which anything happens. Exhaustive computation supports the frozen character of the address layer: every admissible local rule on a ring of five sites (1,594,323 sign-symmetric rules and 144 conserving flux-form rules) turned out to be either the identity or a shift. In the address layer there is only passage; change lives in the tension layer.
The correspondence is direct: metaphor-in-use ↔ tension layer; espoused metaphor ↔ address layer. The gap that organisational science observes between what people do and what they profess is the gap between the two layers. Nobody has to lie for it to open.
When does lived use become a word? When the use repeats and is shared. A one-time grip leaves no trace; a grip that returns, and that others recognise as the same grip, becomes a thing with a name. In net terms: a thing is a turn that keeps coming back.
Dynamical systems theory has a precise description of the birth of a repeating cycle: the Hopf bifurcation. Its normal form, in polar coordinates, is
ṙ = μr − ar³, θ̇ = ω
where r is the amplitude, θ the phase, μ the control parameter and a > 0.
Exactly at μ = 0, the equation becomes ṙ = −ar³, whose solution is r(t) = r₀/√(1 + 2ar₀²t). With r₀ = 1, a = 1 and t = 100, the amplitude falls to 1/√201 ≈ 0.071. A system sitting precisely on the threshold does not gain a living rhythm; it fades slowly. This matters for the attractive idea of a “permanent Hopf bifurcation”: sitting exactly on the point gives slow decay, not life.
The subcritical form. The net’s coefficients point elsewhere. Its free-energy functional F(A) = αA² + βA⁴ + γA⁶, combined with the tension relation γ = 2π, forces the quartic coefficient negative — a cancellation of (2π − 1)/2π = 5.2832/6.2832 = 84.1%. Under gradient dynamics, a negative quartic term in F yields a positive cubic term in the amplitude equation:
ṙ = μr + ℓr³ − cr⁵, ℓ > 0, c > 0
This is the subcritical Hopf bifurcation, sitting near the Bautin point where ℓ changes sign. Its equilibria are r = 0 plus the solutions of r² = (ℓ ± √(ℓ² + 4μc))/2c, real for μ ≥ −ℓ²/4c.
Worked example. Take ℓ = 1, c = 1, μ = −0.1 (inside the window −0.25 < μ < 0):
Rest and a finite winding are both stable at the same μ, separated by an unstable cycle. This is the dynamical form of the gap between lived use and fixed word: a group can sit in either state under identical conditions, and which one it occupies depends on its history — hysteresis. Note that the window has width ℓ²/4c. It is a range, not a point; the net need not hit an exact threshold to stay in it.
Not every source fits every target. A metaphor for time built from the taste of lemons carries nothing, because taste lacks what time requires: direction, sequence, distance. The body limits which carryings are available, and only a source whose structure fits the target survives. This is selection by fit: what returns in phase stays; what does not fit does not close. No mechanism is needed — nothing pushes the right metaphor into place; the ill-fitting ones simply fail to close.
The limit does not fix a single answer. Speakers of Aymara place the future behind and the past in front, for a bodily reason: one sees what lies ahead, and only the past is known. English uses the opposite map. Both are coherent; both close. In the net’s balanced-ternary register this is the mirror pair: +1 and −1 sit symmetrically around 0, each a full closure with the opposite orientation. Axiom N3 keeps orientation as memory — a culture’s choice of map is such an orientation, laid once and kept.
Heidegger observed that a tool in use does not appear as an object: a hammer while hammering is invisible, and shows up as a separate thing only when the use breaks down.
The net has a proved counterpart. Its phase register uses three values (−1, 0, +1); a local window holds three consecutive crossings and is closed when its sum is 0 modulo 3. Two kinds of closure exist: homogeneous (all three values equal, e.g. (1,1,1)) and heterogeneous (all three different, e.g. (−1,0,1)). The closure test is the discrete Laplacian tᵢ₋₁ − 2tᵢ + tᵢ₊₁ (mod 3) — the same operator that appears in linearised coupling between neighbouring oscillators. Restricting the phases to the three trit values, the coupling force on the centre of the window is zero exactly when the window is closed. Closure is zero force; an open window carries residual tension.
The correspondence with Heidegger is then exact in form:
The object is the open window.
The Latin condicio comes from con-dicere, to speak together. A condition is the residue of a conversation; it exists because it circulates between parties. In net terms, a condition is a closure between people.
Grammar, however, requires a subject, and “It rains” supplies one from nowhere — nothing in the sky does the raining. The same habit hides human choices: “The market moved.” “It had to happen.” “The system won’t let us.” The sentence has no actor, so an objection has no addressee. The same applies to founding speech that fixes a state of affairs with no second party present: nothing was spoken together, and the cause stands outside every conversation that follows.
This is what the Vacuum.Net work calls the external measure. An inventory of 58 silent assumptions in modern science finds that 32 trace back to it; agentless grammar (“one subject per event”) is a second terminal assumption in the same inventory. Rosen’s analysis of living systems offers the alternative: when the chain of production closes on itself, an external driver is no longer needed — the system is its own fixed point. Bayesian reasoning is the formal version of the same stance: every cause stays provisional, today’s estimate being tomorrow’s prior, with no first cause at which the process stops.
A practical consequence follows for anyone who works with groups. The question “why” asks for a cause and lands as a demand for defence. Questions about what happened, what changed and what would need to differ keep the condition open: they stay inside the closure instead of reaching for a driver outside it.
“The market is difficult” asserts an identity between two domains. “The market is like a difficult negotiation” restores the comparison. The second sentence reopens what the first closed.
Vaihinger built a philosophy on this: causation, the unified self and scientific laws work as if — as useful fictions — and the danger begins when the fiction is taken as literal and unconditioned. The Vacuum.Net foundational paper makes the same discipline operational: every claim carries one of five statuses (assumed, conditionally proved, corresponded, predicted, open). “Corresponded” is the status of “is like”; “conditionally proved” is the status of “is”, under named hypotheses. Keeping the two apart is Vaihinger’s warning made routine.
Text, textile, texture and context all come from Latin texere, to weave. A text is a woven thing; making sense and making cloth share a root.
Computing had a weaving origin too. Jacquard’s loom of 1804 ran on punched cards; Babbage adapted the cards for his Analytical Engine; Lovelace wrote in 1843 that the Engine weaves algebraic patterns as the loom weaves flowers and leaves. Later the calculator became the governing image and the loom was buried.
The net is a loom in the strict sense. Its first theorem identifies the elementary mark with a crossing, and the smallest stable knot — the trefoil — holds by its crossings alone and needs exactly three (any diagram with fewer crossings can be undone). Strength in a fishing net does not come from any single thread but from how the threads cross; the same holds for a text, a group and the vacuum.
The difference between calculator and loom is the difference between an external measure and a relation. A calculator returns one correct number against a fixed scale. A loom holds a pattern made of crossings — and in a loom, the weaver is also a thread.
One method in group work places people silently in a room, each standing for a party in a real case. They know nothing of the case and receive only a stance: left or right, near or far, facing or turned away. Reports are consistent: people placed this way soon speak the situation, often using the same words as the real parties — words they never heard.
The net needs no mechanism to read this. A position in the room is an address; the pull a person feels at that position is the tension at that address. Whoever stands on the same address meets the same tension. This is correspondence and identity over scale, not transmission. The sequence of the method matches the two layers: first the stance, then the feeling, then the words. Tension comes before address; the lived layer before the fixed one. The same holds for objects placed in a circle: a group that has just placed its own objects cannot easily say “it just happened” about the pattern — it saw its own hands make it.
Conventional coherence is measured by the order parameter R: represent each participant’s phase as an arrow on a circle and average the arrows. Arrows pointing the same way give R near 1; arrows spread out give R near 0, which is usually read as disorder.
The trit register shows why that reading fails. Map the three trit values to the cube roots of unity: 1, e^(2πi/3), e^(4πi/3).
Both are exact closures — one is alignment, the other structured difference. Their stability differs. For a ring of N oscillators with coupling K and phase step Δ, perturbation modes grow at λₘ = −4K cos(Δ) sin²(πm/N). For homogeneous closure Δ = 0, so cos Δ = 1 and the state is stable for positive coupling. For heterogeneous closure Δ = 2π/3, so cos Δ = −½ and λₘ = 2K sin²(πm/N): the state is stable only for K < 0. Heterogeneous closure needs the differences to be maintained, not pulled together.
The meaning for groups is plain. A team in which everyone thinks alike shows high coherence. A team in which three people hold three different, mutually necessary roles shows R = 0 — and is no less closed. Measured by alignment alone, the second team looks broken. It is not. The paradoxes of group life — belonging versus individuality, trust versus disclosure, closeness versus distance — do not resolve, and do not need to. They are heterogeneous closures. The work is to keep the window closed while the parts stay different; forcing them into alignment would destroy the closure.
Older contemplative traditions name the same pair: Sufi metaphysics distinguishes jam’ (gathering into unity) from farq (separation into multiplicity), described as simultaneous rather than sequential. In the trit register, jam’ is homogeneous closure and farq is heterogeneous closure, and the subcritical window of section 3 is the dynamical form in which both can hold at once.
The net’s ladder runs strand → winding → knot, a knot being closed in three directions. Dynamical systems have a parallel ladder:
A 3-torus is motion closed in three independent directions. Newhouse, Ruelle and Takens proved in 1978 that quasi-periodic flow on a torus of dimension three or more is fragile: arbitrarily small perturbations can turn it into a strange attractor. Read against the net, three closures are the last stable rung before the edge of chaos — and the knot sits on that edge, at the level the net identifies with mass. This fits the trefoil (three crossings, the minimum for a knot) and the trit register (three values, the minimum for a heterogeneous closure). The number three returns at each depth.
The name Hopf belongs to two mathematicians. Eberhard Hopf described the bifurcation in 1942; Heinz Hopf described the fibration in 1931. Their work is unrelated in origin, but in the net it meets. The net’s state is a rotor represented by a unit quaternion; unit quaternions form the 3-sphere S³, and the Hopf fibration maps S³ onto the 2-sphere S² with a circle S¹ above each point. Any two such circles are linked exactly once — the Hopf invariant, which the net uses as its conserved topological charge Q ∈ π₃(S²) = ℤ.
Read together: the 2-sphere carries direction and the circle above it carries phase. The cycle born in Eberhard Hopf’s bifurcation is a fibre of Heinz Hopf’s fibration. Every winding is linked to every other winding exactly once — every lived use is threaded through every other one. No word stands alone.
A large language model learns the conditional probability of the next token given all previous tokens, over a corpus that others have already argued over. Its words arrive pre-negotiated. In the terms of this essay, the corpus is a frozen address layer: the model reproduces the espoused metaphor with great fluency, but has no tension layer of its own — no hand that found a fit, no stake in being wrong, no group that had to reach agreement.
Two consequences follow for people. The first is practice: fluent, correct language becomes cheap, and the capacity to feel a new fit before it has a name is exercised less; capacities that are not exercised weaken. The second is visibility: a weakening of the lived layer would not appear on any measure, because formal fluency is what institutions are built to count and the lived layer does not announce itself.
Roles that work with people in a room become the place where this layer is kept in practice. The concrete work is simple: let people write before they speak; use their own words back to them; bring an object instead of a question; leave silence after a concrete question. The first answer after a pause usually comes from the lived layer.
Proved or computed in the text
Correspondences
Open
Argyris, C. & Schön, D. A. (1974). Theory in Practice: Increasing Professional Effectiveness. Jossey-Bass, San Francisco.
Source of the distinction between theory-in-use and espoused theory, on which section 2 builds its pair of metaphor layers. Read the first three chapters: they define both terms and show how the gap stays hidden.
Argyris, C. (1990). Overcoming Organizational Defenses. Allyn and Bacon, Boston.
Shows how organisations defend the gap between what they profess and what they do — the organisational face of the two-layer law. The chapters on defensive routines are the core; read them with section 6 in mind.
Bateson, G. (1972). Steps to an Ecology of Mind. Chandler, San Francisco.
Contains the double bind and the definition of information as “a difference that makes a difference”; both bear on agentless grammar. Start with “Toward a Theory of Schizophrenia” and “Form, Substance and Difference”.
Bautin, N. N. (1949). The Behaviour of Dynamical Systems near the Boundaries of the Stability Region. Gostekhizdat, Moscow (in Russian).
Origin of the analysis of the degenerate Hopf point where the cubic coefficient changes sign; section 3 places the net near this point. For most readers Kuznetsov (2004) gives the same result in accessible form.
Geary, J. (2011). I Is an Other: The Secret Life of Metaphor and How It Shapes the Way We See the World. Harper, New York.
A broad survey of metaphor across thought, money, science and politics; estimates about six metaphors a minute in ordinary speech. Read the chapters on etymology and on the body — they supply the material for sections 1 and 2.
Heidegger, M. (1927). Sein und Zeit. Niemeyer, Halle. English: Being and Time, transl. Macquarrie & Robinson, Harper & Row, 1962.
Introduces readiness-to-hand: a tool in use does not appear as an object; section 5 matches this to zero force. Paragraphs 15 and 16 are enough — they contain the hammer example.
Hong, H. & Strogatz, S. H. (2011). “Kuramoto Model of Coupled Oscillators with Positive and Negative Coupling Parameters.” Physical Review Letters 106, 054102.
Shows that negative coupling stabilises non-aligned states — the established mathematics behind the K < 0 result in section 10. Short and self-contained; read the whole paper.
Hopf, E. (1942). “Abzweigung einer periodischen Lösung von einer stationären Lösung eines Differentialsystems.” Berichte der Mathematisch-Physischen Klasse der Sächsischen Akademie der Wissenschaften zu Leipzig 94, 1–22.
The original proof of the bifurcation that bears his name; section 3 rests on it. An English translation with commentary appears in Marsden & McCracken (1976).
Hopf, H. (1931). “Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche.” Mathematische Annalen 104, 637–665.
Introduces the Hopf fibration and the Hopf invariant; section 12 uses both. Demanding; a modern algebraic-topology textbook gives the same content in current notation.
Konstapel, J. (2025). “Het Hopf Principe: Een Principe op het Snijvlak van Wetenschap en Mystiek.” constable.blog, 2 September 2025.
Proposes that reality sits permanently on the Hopf threshold and links this to contemplative traditions; section 3 sharpens that claim. Read the sections on walking as near-falling and on jam’ and farq.
Konstapel, J. (2026a). “Closure Is Zero Force: The Oscillator Framework Read as the Phase Register of the Vacuum.Net Theory.” Constable Research, Leiden.
Proves within the trit model that closure is zero coupling force and introduces homogeneous and heterogeneous closure; sections 5 and 10 rest on it. The proofs are short; read the stability section with a pen.
Konstapel, J. (2026b). “The Vacuum.Net Theory: Foundational Paper.” Constable Research, Leiden.
States the axioms N1–N5, the theorems, the five epistemic statuses and the open computations; every net term in this essay is defined there. Read the axioms and the status section first; the theorems can follow later.
Konstapel, J. (2026c). “The Assumptions Nobody Declares.” constable.blog, 26 July 2026.
An inventory of 58 silent assumptions in modern science, five of them terminal; section 6 uses the external measure and the one-subject-per-event assumption. Read the five terminal assumptions; the rest serves as reference.
Kuznetsov, Y. A. (2004). Elements of Applied Bifurcation Theory, 3rd ed. Springer, New York.
The standard reference for Hopf and Bautin normal forms and their coefficients; all formulas in section 3 can be checked here. Chapter 3 for Hopf, chapter 8 for the Bautin point.
Lakoff, G. & Johnson, M. (1980). Metaphors We Live By. University of Chicago Press, Chicago.
Shows that abstract thought borrows its structure from bodily experience; “argument as war” and “time as space” come from here. Short; read it whole. It is the basis for sections 1 and 4.
Lovelace, A. A. (1843). “Notes by the Translator.” In: L. F. Menabrea, “Sketch of the Analytical Engine Invented by Charles Babbage.” Scientific Memoirs 3, 666–731.
Contains the comparison of the Analytical Engine with the Jacquard loom — computing’s first and buried founding image. Note A contains the loom passage; Note G contains the first program.
Marsden, J. E. & McCracken, M. (1976). The Hopf Bifurcation and Its Applications. Springer, New York.
Gives the full theorem, an English translation of Hopf’s 1942 paper and many applications. Section 1 and the translation are enough for this essay.
Newhouse, S., Ruelle, D. & Takens, F. (1978). “Occurrence of Strange Axiom A Attractors near Quasi Periodic Flows on Tᵐ, m ≥ 3.” Communications in Mathematical Physics 64, 35–40.
Proves that motion closed in three independent directions is fragile; section 11 places the knot on that edge. Six pages; the theorem statement and the introduction carry the point.
Núñez, R. E. & Sweetser, E. (2006). “With the Future Behind Them.” Cognitive Science 30, 401–450.
Documents the Aymara construal of time, with the future behind; section 4 reads it as the mirror pair. Read the gesture data: they show that the map lives in the body before it lives in words.
Reddy, M. J. (1979). “The Conduit Metaphor.” In: A. Ortony (ed.), Metaphor and Thought, 284–324. Cambridge University Press, Cambridge.
Shows that English talk about communication itself runs on a metaphor (ideas as objects, words as containers): there is no metaphor-free place from which to describe metaphor. Read the first half and the appendix of examples.
Rosen, R. (1991). Life Itself. Columbia University Press, New York.
Argues that living systems are closed to efficient causation, making an external driver unnecessary; section 6 uses this. Chapters 10 and 11 hold the argument; the earlier chapters prepare the notation.
Smith, K. K. & Berg, D. N. (1987). Paradoxes of Group Life. Jossey-Bass, San Francisco.
Shows that the tensions of group life are structural and do not resolve; section 10 reads them as heterogeneous closures. Read the chapters on belonging and engaging.
*Vaihinger, H. (1911). Die Philosophie des Als Ob. Reuther & Reichard, Berlin. English: The Philosophy of ‘As If’, transl. C. K. Ogden, 1924.*
Treats causation, the self and scientific laws as useful fictions, warning that the danger begins when the fiction is taken as literal and unconditioned; section 7 uses this. The introduction and Part I are sufficient.
Watzlawick, P., Beavin Bavelas, J. & Jackson, D. D. (1967). Pragmatics of Human Communication. Norton, New York.
States the axiom that one cannot not communicate: behaviour carries message before words do, matching the order tension before address. Chapter 2 holds the axioms.
Jump to the book here
J.Konstapel,Leiden,14-10-2026.
This blog is written in english ans is related to a podcast on the Agora.
“The Weaving of Life” betoogt dat de drie domeinen van het leven (Bacteria, Archaea en Eukaryoten) diep met elkaar verweven zijn, niet alleen via afstamming maar vooral via horizontale genoverdracht en endosymbiose. Het boek laat zien dat samenwerking en symbiose op alle niveaus terugkomen: van genen die van soort naar soort springen tot cellen die andere cellen opnemen en meercelligheid die meer dan 25 keer onafhankelijk ontstond. Uiteindelijk vormt het leven één groot netwerk waarin elke nieuwe verbinding voortbouwt op eerdere samenwerkingen, met de mens als recent knooppunt dat bijna alle zoogdierbiomassa beheert.

The book opens with the deepest question. All cellular life falls into three groups: Bacteria, Archaea and eukaryotes. How are they connected?
The grouping began in 1977, with ribosomal RNA. That comparison found “three aboriginal lines of descent”. In 1990 the rank of domain was proposed: Archaea, Bacteria and Eucarya. In 2013 newer methods shook this picture. Eukaryotic core genes fell inside the Archaea. The authors wrote that the three-domains tree “may be incorrect”.
Since 2015 the Asgard archaea settled the matter. The first Asgard genome carried eukaryote-like proteins. In 2023, 63 new genomes placed eukaryotes “as a well-nested clade within Asgard archaea”. And in 2019 the first Asgard cell was cultured after twelve years of work: Prometheoarchaeum syntrophicum, a slow organism of about 550 nm that doubles in two to three weeks.
How old is the common ancestor? The book gives three answers side by side. One study says about 4.2 Ga. Another says more than 3.9 Ga. A third says 3.5–3.8 Ga. The book does not average them. It records the spread and moves on.
The rock record tells the same story in stone. A 4.10 Ga zircon from Jack Hills holds graphite with a carbon signature of possible life. Putative microfossils in Quebec may be 3,770–4,280 million years old. Isua sediments in Greenland hold isotopically light carbon from about 3.7 Ga. Younger records cluster in Australia: hot-spring deposits at 3.48 Ga, sulphate reduction at 3.47 Ga, methanogenesis before 3.46 Ga.
LUCA itself has been reconstructed twice. One study traced 355 gene families to it. Another models a genome of 2,657 proteins. Both describe the same organism: anaerobic, CO₂-fixing, thermophilic.
The book’s sharpest finding is that the tree of life is mostly not a tree. Genes move between lineages.
The numbers are stark. In 181 prokaryotic genomes, “at least 81 ± 15 %” of each genome’s genes took part in lateral transfer. In E. coli, 17.6 % of genes entered by transfer since it split from Salmonella. Between domains, bacteria-to-archaea flow is more than five times the reverse. Against this traffic, the tree-like core is tiny: about 1 % of an average prokaryotic proteome.
The second connection is the deepest union of all. One cell took in another and kept it.
The mitochondrion dates between 2.05 and 1.21 Ga. The plastid, taken from a cyanobacterium, carries five different dates spread over 0.85 Gyr. Both events happened once. Two later primary uptakes are known: Paulinella and UCYN-A, which has gained organelle status.
Each uptake follows the same pattern. The bacterium loses genes to its host. Rickettsia, a free-living relative, has 834 protein genes. Human mitochondria keep 13. Synechocystis has 3,168 proteins; the Arabidopsis plastid keeps 87, with about 4,500 moved to the nucleus.
Plastids then passed “from hand to hand” through further eatings. Red and green nucleomorphs — tiny remnant nuclei — both hold three chromosomes. Insect bacteria show the same shrinking: Buchnera in aphids keeps 583 genes, and the smallest symbiont, Nasuia, only 112 kb.
Some animals steal chloroplasts outright. Sea slugs keep stolen plastids working for months. An Antarctic dinoflagellate keeps them for at least 30 months.
Multicellularity arose again and again. The book counts more than 25 origins across eukaryotes. At least seven arose by aggregation. Many arose by clonal growth, in red and green algae and once in brown algae.
The dates run from cyanobacteria at 2.45–2.22 Ga to red algae at 1.047 Ga, animals at 574–558 Ma, land plants at 515–470 Ma, and volvocine green algae at 250–50 Ma.
Every animal carries a microbial load. A human holds about as many bacterial cells as human cells — 3.8 against 3.0 × 10¹³ — almost all in 0.4 litres of colon. Microbial fermentation supplies about 10 % of human energy. In a ruminant it supplies about 70 %.
The partnerships are old and specific. Hominid-gut bacteria cospeciation is dated at 15 Myr. Coral photosymbiosis is about 212 Myr. Bioluminescence in deep-sea fish, powered by housed bacteria, is about 150 Myr. The bacterium Wolbachia lives in 40–66 % of all arthropod species.
Squid flush their light-organ symbionts each dawn and regrow them within hours. Bees build a gut community of a billion bacteria in ten days.
Fungi sit between animals and plants and connect both. Clocks date fungi at roughly 1,000–1,760 Ma. Fossils run from 1,010–890 Ma to glomalean spores at ~460 Ma.
The partnerships multiply. Arbuscular mycorrhiza form one phylum that touches most plants. Ectomycorrhiza arose 66–82 times in fungi and 30 times in plants. Lichens arose 20–30 times. Wood-rot fungi split the work: white rot dates to ~300 Ma; brown rot arose at least four times.
Animals even farm fungi. Ants, ambrosia beetles and termites evolved this agriculture at least twelve times, with ant agriculture dated at about 66.65 Ma.
Life did not colonise land alone. It went as a community.
Microbial mats stood on land from 3,220 Ma — 2,747 million years before plant spores. By clock, fungi lost their flagellum at ~720 Ma, still before plants. Arthropod tracks appear at the Cambrian–Ordovician boundary. Vascular plants follow at 426.9 Ma. Charcoal — proof of burning vegetation — appears at 423 Ma.
Then comes the jewel: the Rhynie chert, 411.5 Ma. It preserves a whole community. Plants of 10–40 cm with arbuscular mycorrhiza inside them. A lichen. About ten fungi. Nematodes. Seven arthropod groups of 0.29–20 mm. The book reads it as the first snapshot of a working land ecosystem.
The oldest predation trace is a hole in the oldest mineralised animal tube: 2.7 % of more than 500 tubes. The oldest parasitism is Cambrian: 47.8 % of 429 brachiopods bore encrusting parasites.
Predation intensified in steps. Drilling frequency rose from 10–20 % to 100 %. Eleven of 13 shell-breaking groups arose in the Triassic–Cretaceous.
The modern numbers are sharp. Predators average 42 times their prey’s mass. Parasitoids average 0.76 times their host’s. Mean energy transfer between levels is 10 %. Food chains run 3.5 to 5 levels. Parasitism arose at least 223 times in animals and 12 times in flowering plants. And plants outweigh animals 225 to 1.
Insects appear before flowers. Rhyniognatha, the earliest insect fossil, precedes the angiosperm clades by about 276 Myr. Pollination is recorded on gymnosperms at about 165 Ma, and on angiosperms from 100–99 Ma.
Today about 87.5–90 % of the 295,383 known angiosperm species are animal-pollinated, by about 350,000 pollinator species. Vertebrates are only 0.42 % of pollinators — but excluding them cuts seed set by 63 %.
Seed dispersal runs from 1 m, carried by ants, to 5.3 km, carried by elephants. Three-quarters of 52 measured mutualistic networks are nested: specialists attach to generalists, like branches to a shared trunk.
The elements that life needs are passed between kingdoms in loops.
The dates: sulphate reduction at 3.47 Ga. Nitrogen fixation at 3.2 Ga by isotopes. Free oxygen at 2.46–2.33 Ga — the Great Oxidation.
No eukaryote carries the nitrogenase genes. Eukaryotes solve this by housing the fixers: in root nodules of about 10 of 380 angiosperm families, and in UCYN-A, which travelled from symbiont to organelle.
At sea, 10–50 % of production passes through bacteria. The carbon pump shrinks at each step: export is 5.8–8.6 % of global production, only 0.62 % reaches 1,000 m, and 0.19 % is buried. Animals pump elements upward and landward — from zooplankton to whales and seabirds, moving 99 Gg of phosphorus per year. That carrying capacity is now 5–8 % of its former value.
The book closes with the totals. Estimated species: plants 0.30–0.37 million, fungi 0.6–3.8 million, animals 7.8 million, all eukaryotes 8.7 million. Bacteria may number 1–6 billion species; virus particles 10³⁰–10³¹.
Described shares differ by group. Plants are nearly complete. Insects are about 20 % described. Fungi only 3.2–5.5 %.
The measured links are few: 1.18 pollinators per angiosperm, 3.0 hosts per plant virus, 4.3 viruses per plant. And one figure stands out: humans and their livestock now hold 94–96 % of all mammal mass.
The book’s second layer sets these patterns beside the author’s Vacuum.Net texts. Four pairings (“reads”) are made. One became a fixed test and passed: in 24 cases, no cell holds a chain of more than two nested partners, each with its own genome. A second test — that each supplier must be older than the one it supplies — failed: 5 of 14 cases. Across the author’s three books, the theory has been tested nine times with outcomes fixed in advance. One passed. The book prints the full score.
Read as biology, the book tells one story: life connected itself by every available route. Genes crossed lineages. Cells took in cells. Cells became bodies. Bodies took partners. Partners became farmers, pollinators, parasites and prey. The elements moved in loops through them all. Each connection arrived on ground that an earlier connection had prepared — microbes before fungi, fungi before plants, plants before pollinators, and finally humans, holding almost all the mammal mass on Earth.
Note: the sources for chapters A3–A10 in the primary work are numbered per chapter; the entries above are the principal studies named in the text. The five background books (Quammen; Dawkins & Wong; Beerling; Sheldrake; Begon, Townsend & Harper) framed the topics only — no number in the primary work is taken from them.

J.Konstapel.Leiden,13-10-2026.
A Reference Work on the Co-evolution of Plants and the Rest of Life
An essay on J. Konstapel’s The Company of Plants (Constable Research, Leiden, 2026), with an annotated reference list.
The Company of Plants is a 100-page reference work. It documents how plants evolved together with the rest of life. Ten chapters cover ten interplays: insects and pollination, fungi and mycorrhiza, bacteria and nitrogen, animals and seed dispersal, soil life, herbivores and defence, decomposers, climate and atmosphere, competition and forests, and viruses and pathogens.
The book follows an earlier work, Plants on the Ladder (12 October 2026). That earlier book treated fifteen groups of photosynthetic life. This one treats what that book left out: the partners.
The structure is unusual and disciplined. The book is built in two layers, kept strictly apart.
Layer A is biology only. Ten chapters, A1 to A10. Each chapter has the same nine sections: what the interaction is; first appearance; partners; sizes; times; counts; order of events; present quantities; and a closing Pattern of at most 150 words. Part C gathers the numbers into eight tables. Layer A and Part C mention no theory. They stand on their own.
Layer B asks one question of Layer A: do the measured patterns correlate with the structure of the Vacuum.Net theory, as its texts state them? Each pairing carries a status. Three tests were fixed before the data were seen. Their outcomes stand as they fell.
Every statement of fact carries a mark. Measured means read in a cited source. Computed means arithmetic on measured numbers, shown. Modelled means the output of a named published model. Text means a statement of a Vacuum.Net text. Read means a hypothesis pairing a text statement with a measured pattern.
The result is a rare thing: a self-published work with the evidentiary hygiene of a peer-reviewed monograph.
Most popular science books sell a story and let the reader trust the author. This book does the opposite. It sells verification.
Layer A holds 457 numbered references. Every number in the book traces to a source. Every size and time carries a position: the logarithm of the value over a natural unit of length or time. Positions are coordinates, not rounded scores. Items found only in secondary sources are listed under “Not verified” at the end of each chapter and are excluded from the book’s facts.
This is a method a business reader should recognize. It is the same discipline as an audited dataset. Each record has provenance. Each derived figure shows its arithmetic. Each uncertain item is flagged rather than absorbed. In a market where AI training data and curated scientific datasets are becoming paid products, provenance discipline is the asset.
The book’s patterns are striking even stripped of all theory.
Insects are far older than flowers. The insect fossil record begins at 396–407 Ma. A molecular clock places the origin of insects at about 479 Ma. The main angiosperm clades diversified only 135–130 Ma. The gap is about 275 million years. Insects did not evolve to serve flowers. Flowers arrived into a world already full of insects.
Herbivory appears in pulses, always after the tissue. Plant tissue is eaten 54 to 98 million years after it first appears. Leaves, seeds, wood, roots: each is colonized in turn. The pattern repeats across the fossil record.
Pollination began on gymnosperms. The oldest definitive pollinating insects, with siphonate proboscides, date to about 165 Ma. Four gymnosperm pollination modes are counted between 125 and 90 Ma. Pollination of flowering plants is recorded only from 100 Ma. The partnership predates the flower.
The fungal side is older still. Fungus-like mycelial fossils occur in 2.4 Ga basalt. The oldest unambiguous fungus dates to 1,010–890 Ma. Crown Fungi sit at about 1,020 Ma on a six-gene clock. Arbuscular mycorrhiza in rock appears at about 460 Ma — before roots. Today 72% of vascular plant species form arbuscular mycorrhiza. The plant-fungus contract is the oldest standing agreement in the biosphere.
Obligate pairs recur, and the animal side comes first. Fig wasps and figs, yucca moths and yuccas, orchid bees and perfume orchids: each pair is 7 to 60 million years old. In each, the insect side is dated first or together with the plant. The service provider existed before the client.
The present-day balance is measurable. 295,383 angiosperm species. 349,368 known pollinator species — 1.18 per plant species. 87.5% of flowering plants are animal-pollinated. Herbivory explains 25–35% of diversification variance across 31 insect orders. Insect body lengths span a factor of 4,079, from a 139-micrometre wasp to a 567-millimetre stick insect.
These are facts a specialist can use. They are also facts a non-specialist can check, because the book shows every step.
An independent check of twelve core references from chapters A1 and A2 confirmed titles, venues, years and key figures without exception. Christenhusz & Byng (2016) is the accepted plant species count. Ollerton, Winfree & Tarrant (2011) is the source of the 87.5% animal-pollination figure and the 308,006 species estimate. Misof et al. (2014) is the phylogenomic study dating insect origins to about 479 Ma. Ren et al. (2009) documents the pre-angiosperm scorpionfly pollinators. Cai et al. (2018) documents the 99 Ma cycad-pollinating beetle. Brundrett & Tedersoo (2018) is the source of the 72% arbuscular mycorrhiza figure. Bengtson et al. (2017) reports the 2.4 Ga fungus-like fossils. Redecker, Kodner & Graham (2000) reports the 460 Ma Ordovician glomalean spores.
Two caution flags are worth recording, and the book’s own “Not verified” discipline makes this easy. Melittosphex burmensis, called the oldest bee at 100 Ma, has been reclassified by later work as incertae sedis within the Aculeata — its bee status is contested. Ourasphaira giraldae, dated about one billion years, is argued by its discoverers to be an early fungus, but the fungal affinity is not universally accepted. The book’s phrasing (“oldest unambiguous fungus”) is stronger than the literature supports. Neither flag affects the book’s patterns; both are entry points for a second edition.
The content is not operational data. No farmer plants a crop differently tomorrow because insects are 275 million years older than flowers. The value is strategic. Three user groups stand out.
Plant breeders. Breeding is applied co-evolution. Resistance genes come from wild relatives, which hold the defences won in millions of years of arms races with herbivores and pathogens. Mycorrhiza responsiveness is now a selectable trait. Pollination biology governs hybrid seed production. The book does not hand a breeder a gene. It hands the breeder a map: which interactions are ancient and stable, where resistance will likely hold, and where an arms race will likely break it.
Biologicals and pollination-services companies. The mycorrhizal inoculant market is young and troubled with quality problems. The pollination-services market is large and growing. Both industries sell exactly the partnerships chapters A1 and A2 document. A verified synthesis of the underlying biology is a credible foundation for white papers, staff training, and product strategy.
Education and research-data users. The eight tables of Part C form a clean, machine-readable dataset: first appearances, sizes, times, counts, shares. Every record carries a source mark and a computed position. Institutions increasingly license structured scientific content with provenance. This material fits that market directly.
Layer B — the Vacuum.Net pairings — serves none of these markets. That is not a criticism. The book itself keeps the layers apart precisely so that Layer A and Part C can be used without Layer B. Commercial deployment should follow the book’s own architecture: sell the verified layer, keep the theoretical layer in a separate track.
The total addressable market is small but real. The book will not sell in the tens of thousands. Its buyers are specialized: breeders’ strategy and education teams, biologicals companies, university libraries, data curators, and the audience for disciplined natural-history synthesis.
The value lies in three separable assets:
The recommended route is the book’s own structure in commercial form: Part C as a licensed dataset, Layer A as an educational and advisory foundation, and the patterns as content. The theoretical layer stays in its own channel, where its audience is.
The Company of Plants is a modest, rigorous, and unusual book. It does what expensive data products promise: every number has a source, every derivation is shown, and every uncertain item is quarantined. Its biology is sound on independent sampling. Its patterns are genuinely instructive — about pollination, symbiosis, defence, and the deep antiquity of the partnerships agriculture now depends on.
Its commercial potential is modest in scale and high in credibility. The knowledge is gold for those who work with the living partnerships themselves — breeders, biologicals firms, and educators — provided it is delivered as a map and a dataset, not as a monograph. The book’s own two-layer discipline points the way: the verified layer is the product; the theory is the author’s own journey.
A selection of the book’s 457 Layer-A references, annotated for the business reader. Each annotation states what the source establishes and why it matters commercially.
[1] Christenhusz, M.J.M. & Byng, J.W. (2016). “The number of known plants species in the world and its annual increase.” Phytotaxa 261: 201–217.
The accepted census of known plant species: 295,383 angiosperms, 1,079 gymnosperms, roughly 374,000 plants overall, with about 2,000 new species named per year. Independently verified in this essay’s sample. Why it matters: the baseline denominator for any biodiversity claim, product claim, or dataset.
[2] Ollerton, J. (2017). “Pollinator diversity: distribution, ecological function, and conservation.” Annual Review of Ecology, Evolution, and Systematics 48: 353–376.
Counts about 350,000 known pollinator species across insects, birds, mammals and lizards. Why it matters: the size of the service-provider pool behind the pollination-services industry.
[3] Ollerton, J., Winfree, R. & Tarrant, S. (2011). “How many flowering plants are pollinated by animals?” Oikos 120: 321–326.
Establishes that 87.5% of flowering plant species (308,006 species) are animal-pollinated; community means run from 78% in temperate to 94% in tropical sites. Independently verified. Why it matters: the single most quoted dependency figure in pollinator-sector communication and policy.
[6] Misof, B. et al. (2014). “Phylogenomics resolves the timing and pattern of insect evolution.” Science 346: 763–767.
A phylogenomic analysis of 1,478 genes placing the origin of insects at about 479 Ma and insect flight at about 406 Ma. Independently verified. Why it matters: anchors the book’s central asymmetry — insects long predate flowers — and underpins the argument that pollinators were available before the client existed.
[10] Labandeira, C.C. & Currano, E.D. (2013). “The fossil record of plant-insect dynamics.” Annual Review of Earth and Planetary Sciences 41: 287–311.
Documents the two pre-angiosperm herbivory pulses and the recovery intervals after mass extinctions: 24 Myr after the Permian–Triassic, about 10 Myr after the K–Pg. Why it matters: the template for how fast plant-herbivore systems rebuild after collapse — relevant to resilience thinking in crop protection.
[11] Ren, D. et al. (2009). “A probable pollination mode before angiosperms: Eurasian, long-proboscid scorpionflies.” Science 326: 840–847.
Eleven species in three extinct families fed on gymnosperm ovular secretions across a 62-million-year interval. Independently verified. Why it matters: proves the pollination service predates the flower — the biological licence for managed pollination beyond bees.
[13] Cai, C. et al. (2018). “Beetle pollination of cycads in the Mesozoic.” Current Biology 28: 2806–2812.
A 99 Ma boganiid beetle with cycad pollen, including measured pollen grain dimensions. Independently verified. Why it matters: a data point with physical measurements — the kind of record that makes Part C usable as a dataset rather than a story.
[15] Poinar, G.O. & Danforth, B.N. (2006). “A fossil bee from Early Cretaceous Burmese amber.” Science 314: 614.
Describes Melittosphex burmensis, about 100 Ma, long treated as the oldest bee. Verified as published; later work reclassifies the lineage as incertae sedis within Aculeata. Why it matters: a caution example — the book’s “Not verified” discipline exists precisely for cases like this.
[33] Estimated insect diversity (about 5.5 million species, roughly 80% undescribed).
As cited in the book from the entomological literature. Why it matters: the discovery gap is a market signal — most of the pollinator and herbivore cast remains formally unknown.
[34] Herbivory shares by insect order (Lepidoptera ~100%, Orthoptera ~94%, Hemiptera ~80%, Coleoptera ~26%, Hymenoptera ~7%); herbivory explains 25–35% of diversification variance across 31 orders.
As cited from the macroevolutionary literature. Why it matters: quantifies the herbivore pressure that crop defence breeding works against.
[47] Brundrett, M.C. & Tedersoo, L. (2018). “Evolutionary history of mycorrhizal symbioses and global host plant diversity.” New Phytologist 220: 1108–1115.
Establishes that 72% of vascular plant species form arbuscular mycorrhiza, 2.0% ectomycorrhiza, 1.5% ericoid, 10% orchid. Independently verified. Why it matters: the market-size basis for the mycorrhizal inoculant industry, and the breeder’s case for mycorrhiza-responsive cultivars.
[49] Bengtson, S. et al. (2017). “Fungus-like mycelial fossils in 2.4-billion-year-old vesicular basalt.” Nature Ecology & Evolution 1: 0014.
Reports mycelium-like filaments in 2.4 Ga South African basalt. Independently verified; the fungal interpretation remains cautious (“fungus-like”). Why it matters: the deepest anchor of the book’s timescale — the fungal occupation of rock is older than most multicellular life.
[50] Loron, C.C. et al. (2019). Ourasphaira giraldae, about 1,010–890 Ma.
As cited in the book from the Canadian Arctic microfossil work. Verified as published; the fungal affinity is argued rather than settled. Why it matters: the second caution example — deep-time fungal claims carry interpretive risk, and the book flags rather than hides it.
[51] Six-gene molecular clock on 199 fungi (crown Fungi ~1,020 Ma; Glomeromycota ~659 Ma; embryophytes ~482 Ma).
As cited in the book from the fungal phylogenomics literature. Why it matters: the clock that makes the mycorrhiza story coherent — the symbiosis machinery existed long before land plants needed it.
[52] Redecker, D., Kodner, R. & Graham, L.E. (2000). “Glomalean fungi from the Ordovician.” Science 289: 1920.
Fossil hyphae and spores from about 460 Ma Wisconsin rocks, resembling modern Glomales. Independently verified. Why it matters: the physical evidence that the mycorrhizal service predates roots — the founding datum of the inoculant industry’s pitch.
Closure-Horizon Economics (CHE) breidt de economische theorieën van Hall en Woodford uit met het principe dat verwachtingen een begrensde tijdshorizon hebben. Onvolledige afsluiting van economische processen veroorzaakt restbelasting (loading), die zich opbouwt en crises mede voorspelbaar maakt. Het model verklaart consumptiegevoeligheid, begrenst de invloed van toekomstig monetair beleid en laat parameters veranderen met de economische toestand. De auteur rapporteert dat kredietgroei financiële crises voorspelt: de gemeten voorspelkracht bedraagt AUC 0,751 en 0,698 in twee testperioden.
Wat de Nobelprijs Economie 2026 goed zag, en waar het model ophoudt
J.Konstapel,Leiden,12-10-2026.
Aanleiding: Overheden zijn beter voorbereid op economische crises dankzij het werk van deze Nobelprijswinnaars
Op 12 oktober 2026 kregen Robert E. Hall en Michael Woodford de Nobelprijs voor Economie. Het comité prees hun werk aan de “micro-economische grondslagen van macro-economische stabilisatie”. NRC vatte het samen: overheden zijn beter voorbereid op crises. Recessies duren korter.
Die prijs is verdiend. Na de oliecrisis lag het keynesiaanse model in scherven. De overheid greep in, en toch stegen werkloosheid en inflatie tegelijk. Hall en Woodford bouwden de theorie opnieuw op. Niet vanuit het totaal, maar vanuit wat huishoudens en bedrijven werkelijk doen.
Hun werk laat drie verschijnselen open. Alle drie krijgen een plaats zodra één regel wordt toegevoegd. Die regel komt uit de Vacuum.Net-theorie.
Hall, 1978. Een huishouden dat zijn uitgaven over het hele leven spreidt, stopt alles wat het weet al in de uitgaven van vandaag. De uitgaven van morgen zijn dan niet te voorspellen. Alleen nieuw nieuws verandert ze.
Woodford, 2003. Bedrijven passen hun prijzen af en toe aan. Bij elke aanpassing kijken ze vooruit. De inflatie van vandaag is daardoor de optelsom van alle verwachte spanning in de toekomst. Wie die verwachtingen beïnvloedt, beïnvloedt de inflatie. Daarom praten centrale banken tegenwoordig over hun toekomstige rente. Dat heet forward guidance.
Het model rekent met een weegfactor van 0,99 per kwartaal. Een belofte voor over vijf jaar weegt dan nog 0,99²⁰ = 82 procent. De horizon van het model is 100 kwartalen: 25 jaar.
De helft van de huishoudens volgt het model niet. Campbell en Mankiw maten in 1989 dat ongeveer de helft van de consumptie meebeweegt met het inkomen van deze maand. Volgens Hall zou dat nul moeten zijn.
Beloften werken veel zwakker dan het model zegt. In het model werkt een renteverlaging die voor over vijf jaar wordt aangekondigd sterker dan een verlaging vandaag. In de praktijk gebeurt dat nergens. Economen noemen dit de forward-guidance-puzzel.
Crises kondigen zich aan. Krediet groeit jaren voor een bankencrisis harder dan de economie. In het model komen grote crises van buitenaf, als schok. Een schok is per definitie niet te zien aankomen.
Voor elk van de drie bestaat een aparte reparatie. Elke reparatie voegt een getal toe dat wordt afgesteld tot het past.
De Vacuum.Net-theorie beschrijft de werkelijkheid als een net. Wat blijft bestaan, is een draad die op zichzelf terugkomt: een winding. Elke winding heeft een sluitingstijd. Een aandelentransactie sluit in dagen. Een prijs blijft een jaar staan. Een lening sluit in jaren.
Daaruit volgen drie regels voor de economie.
Dat is alles. De rest is rekenwerk.
Stel dat een huishouden H maanden vooruit rekent. Dan beweegt zijn consumptie voor een deel 1/H mee met tijdelijk inkomen. Bij H = 1 volledig. Bij een onbeperkte horizon niet. Dat laatste is Hall.
Over alle huishoudens samen is de meebeweging het gemiddelde van 1/H. De gemeten waarde is 0,5. Eén verdeling die daarbij past: de helft van de huishoudens kijkt niet verder dan de volgende maand, de andere helft plant onbeperkt.
Dat getal gaat over mensen. Over wie aan het eind van de maand de huur betaalt en dan pas weet wat er over is. Voor hen bestaat een rentebelofte voor volgend jaar niet. Er is geen kring waarin zij kan landen.
In het Engelse artikel staat een exacte voorwaarde. Een rentebelofte voor ver in de toekomst dooft uit als de sluitingstijd van de prijzen kort genoeg is. Met de gangbare getallen ligt de grens bij 6,8 kwartaal. Gemeten prijzen staan gemiddeld 8 tot 11 maanden stil, dus drie à vier kwartalen. Ze vallen ruim binnen die grens.
Het verschil is groot. Neem een renteverlaging van één procentpunt, aangekondigd voor over vijf jaar.
| Effect vandaag, vergeleken met een verlaging nu | |
|---|---|
| Model van Woodford | 8,5 keer zo groot |
| Met de sluitingsregel | 0,08 keer zo groot |
Het oude model geeft een belofte voor 2031 meer kracht dan een besluit vandaag. Met de sluitingsregel houdt een belofte over vijf jaar 8 procent van de kracht van een besluit nu. De effectieve horizon is 1,1 jaar, geen 25 jaar.
De puzzel verdwijnt. Er is geen getal afgesteld. De horizon volgt uit hoe lang prijzen in winkels werkelijk stilstaan.
Als crises van buitenaf komen, zegt geen enkel cijfer van vorig jaar iets over de crisis van dit jaar. Een voorspeller scoort dan precies 0,5 op de gangbare schaal: muntgooien.
Met belading ligt dat anders. De driejaarsgroei van krediet ten opzichte van het bbp is gemeten over achttien landen, van 1870 tot 2020. Het model werd vastgezet op de jaren tot 1960 en daarna niet meer aangepast. In twee latere perioden scoorde het 0,75 en 0,70.
De basiskans op een bankencrisis in een gewoon jaar is 3,9 procent. Bij een kredietgroei van 52 procentpunt in drie jaar is die kans vier keer zo groot.
De voorspelling van het standaardmodel, 0,5, valt in beide perioden af. De voorspelling van de sluitingsregel klopt in beide.
Hoe korter prijzen blijven staan, hoe sterker de inflatie op spanning reageert. Bij prijzen die vier kwartalen staan is de reactiefactor 0,086. Bij twee en een half kwartaal is hij 0,27: drie keer zo sterk.
In 2021 en 2022 gebeurde precies dat. Winkels en leveranciers pasten hun prijzen veel vaker aan. De inflatie schoot omhoog. Op zo’n moment werkt een belofte nog minder. Wat dan telt, is het besluit van vandaag.
Een rentebesluit heeft drie standen: omhoog, gelijk, omlaag. In stappen van 25 basispunten is dat het drietallige register van het net: +1, 0, −1.
De ECB laat zien wat er gebeurt als het register breekt. Van juli 2022 tot september 2023 ging de depositorente van −0,50 naar 4,00 procent. Dat zijn 18 stappen in 10 vergaderingen. Acht keer werd een dubbele of driedubbele stap gezet. De verwachtingen lagen niet vast.
Van juni 2024 tot juni 2025 ging de rente van 4,00 naar 2,00 procent. Dat ging in acht enkele stappen van −25. Elke stap was aangekondigd.
Hall had gelijk: het pad van de consumptie is niet te lezen. De sluitingsregel voegt toe: de ontlading wel.
Woodford had gelijk: beleid werkt via verwachtingen. De sluitingsregel voegt toe: een verwachting reikt zo ver als de kring die haar draagt.
Het comité zegt dat crises korter duren. Dat klopt. Maar de rest verdwijnt niet als de ontlading wordt gedempt. Zij schuift door naar de diepere winding: het krediet. Of dat zo is, is per land af te lezen aan de kredietgroei sinds 2008.
Er zitten mensen achter die cijfers. De helft van de huishoudens leeft binnen een maand. Voor hen is stabiliteit geen belofte over 2031. Het is een maand die sluit.
| Uitspraak | Status |
|---|---|
| Hall en Woodford zijn grensgevallen van de sluitingsregel | bewezen |
| Meebeweging consumptie = gemiddelde van 1/H | bewezen onder regel 1, gecontroleerd met simulatie |
| Grens voor uitdovende beloften | bewezen, getallen nagerekend |
| De puzzel is het geval zonder sluiting | bewezen |
| Bij crises van buitenaf is voorspellen muntgooien | bewezen |
| Kredietbelading scoort 0,75 en 0,70 | gemeten, in twee blinde perioden |
| Horizon volgt uit de gemeten prijsduur | regel 1; nog te toetsen tegen gebeurtenisstudies |
| Reactiefactor stijgt met belading | richting bevestigd in 2021–2022; vorm open |
J. Konstapel — Closure-Horizon Economics: How the Vacuum.Net closure rule extends the Hall–Woodford theory of stabilisation (2026). Waarom lezen? Het Engelse artikel achter deze blog. Het bevat de vier stellingen met volledige bewijzen en alle tabellen. Leesadvies: zelfbevattend; paragraaf 6 bevat de grens voor uitdovende beloften.
Robert E. Hall — Stochastic Implications of the Life Cycle–Permanent Income Hypothesis (Journal of Political Economy, 1978). Waarom lezen? Het artikel waarmee de prijs begon. Hall draaide de vraag om: niet wat de consumptie voorspelt, maar dat niets haar voorspelt. Leesadvies: de eerste twee secties. Let op dat Hall zelf al vond dat aandelenkoersen wel iets toevoegden.
Michael Woodford — Interest and Prices (Princeton University Press, 2003). Waarom lezen? Het standaardwerk van het nieuwkeynesiaanse model. Hier staan de twee vergelijkingen die de sluitingsregel aanpast. Leesadvies: hoofdstukken 3 en 4. Technisch, maar helder geschreven.
Michael Woodford — Monetary Policy Analysis When Planning Horizons Are Finite (NBER Macroeconomics Annual, 2019). Waarom lezen? Woodford zag het probleem zelf en voerde een eindige planningshorizon in. Dat ligt dicht bij regel 1. Het verschil: bij hem wordt de horizon gekozen, hier volgt hij uit een gemeten sluitingstijd. Leesadvies: de inleiding en de paragraaf over forward guidance.
John Campbell en Gregory Mankiw — Consumption, Income, and Interest Rates (NBER Macroeconomics Annual, 1989). Waarom lezen? De meting dat de helft van de consumptie het inkomen van nu volgt. Dat getal wordt in de sluitingsregel een gemiddelde horizon van twee perioden. Leesadvies: de schattingstabellen zijn de kern.
Marco Del Negro, Marc Giannoni en Christina Patterson — The Forward Guidance Puzzle (Federal Reserve Bank of New York, 2012). Waarom lezen? De nauwkeurige beschrijving van de puzzel. Wie hem eenmaal ziet, ziet hoe ver het model van de praktijk af ligt. Leesadvies: de eerste twee secties.
Xavier Gabaix — A Behavioral New Keynesian Model (American Economic Review, 2020). Waarom lezen? Gabaix voerde een “cognitieve korting” van ongeveer 0,85 per kwartaal in. De sluitingsregel komt uit op 0,75 tot 0,78, maar dan uit gemeten prijsduur in plaats van afstelling. Leesadvies: de eerste secties en de resultaten over forward guidance.
Emi Nakamura en Jón Steinsson — Five Facts about Prices (Quarterly Journal of Economics, 2008). Waarom lezen? De metingen van hoe lang prijzen werkelijk stilstaan: acht tot elf maanden. Dat is de sluitingstijd waaruit de horizon volgt. Leesadvies: het eerste feit en de bijbehorende tabel.
Pierpaolo Benigno en Gauti Eggertsson — It’s Baaack: The Surge in Inflation in the 2020s (NBER, 2023). Waarom lezen? Laat zien dat de Phillipscurve steil wordt als de economie onder druk staat. Bevestigt de richting van regel 3. Leesadvies: de empirische delen over 2021–2022.
Moritz Schularick en Alan Taylor — Credit Booms Gone Bust (American Economic Review, 2012). Waarom lezen? Het onafhankelijke bewijs dat kredietgroei crises aankondigt, over 140 jaar. Leesadvies: de sectie over voorspelling.
Òscar Jordà, Moritz Schularick en Alan Taylor — Macrofinancial History (macrohistory.net). Waarom lezen? De database van achttien landen sinds 1870 waarop de kredietbelading is getoetst. Vrij beschikbaar. Leesadvies: begin bij de documentatie van de crisisdata.
Robert Lucas — Econometric Policy Evaluation: A Critique (1976). Waarom lezen? De vaststelling dat de getallen in een model meebewegen met het beleid. Dat is regel 3 in economische taal. Leesadvies: kort; in één keer te lezen.
J. Konstapel — The Comma in the Market (constable.blog, 5 september 2026). Waarom lezen? De dubbelblinde toets achter de kredietbelading: twee meters die standhielden, zes die afvielen. Leesadvies: secties 4 en 5 bevatten de getallen.
J. Konstapel — Vacuum.Net Theory: hoe massa, energie en ruimte één net vormen (constable.blog, 28 september 2026). Waarom lezen? Het net zelf: draad, winding, knoop en maas, en de sluitingsregel waaruit regel 1 komt. Leesadvies: de eerste paragrafen volstaan.
Het artikel betoogt dat de 800 miljoen jongeren zonder duidelijke baan geen tekort aan werk hebben, maar dat hun werk niet telt omdat het geen rendement voor kapitaal oplevert. Waar deze spanning niet in een gesloten kring wordt opgevangen, ontlaadt ze via drugs, criminaliteit, migratie of mentale terugval. Drie bewezen programma’s en drie conceptuele lussen (werk, energie, kennis) laten zien hoe werk wél kan tellen zonder afhankelijk te zijn van buitenlands kapitaal. De kern is dat een daad pas sluit als een ander haar afmaakt, en dat de tijd dringt: buffers raken uitgeput tussen oktober 2027 en 2028.

0. The MAZE-Bank: A Radical Reimagining of Economic Systems
1 Transmutation: Chemical Elements on Demand
2 Waarom ziekte geen raadsel is
3 Waarom Stijgen de Mentale klachten Wereldwijd?
4 Global Tensions 2026: February 2028 as a Turning Point

J.Konstapel,Leiden,12-10-2026.
Aanleiding: Wereldbank-president: ‘Wat gaan jongeren zonder hoop doen? Drugs? Criminaliteit? Migreren?’
Wereldbank-president Ajay Banga rekent het voor. In ontwikkelingslanden bereiken de komende tien jaar 1,2 miljard jongeren de werkende leeftijd. Er komen ongeveer 420 miljoen banen bij. Er blijven bijna 800 miljoen jongeren over zonder duidelijke weg.
Zijn antwoord is banen, gefinancierd met privaat kapitaal. De Wereldbank haalde in het boekjaar 2026 een record op: $112 miljard, ruim drie keer zoveel als in 2022.
Deel dat bedrag door de 800 miljoen jongeren. Dat is $140 per persoon, voor één jaar. Daarmee sluit je de kloof niet.
De kloof is ook geen tekort aan werk. Werk is er genoeg: daken, oogsten, water, zorg voor ouderen. Het telt alleen niet. Werk telt pas als baan wanneer iemand met kapitaal er rendement op verwacht. Wat niet rendeert, wordt niet afgewezen. Het wordt niet gezien.
Dat is de kern. Banga’s jongeren zijn geen mislukte werknemers. Ze zijn ongelezen werk.
Het beeld door dit hele werk is een visnet in water. Eén draad loopt overal en kruist zichzelf. Waar een lus in fase terugkomt, sluit ze en blijft ze. Waar ze niet sluit, blijft spanning staan. Die spanning verdwijnt niet. Ze ontlaadt ergens.
Een daad sluit pas als een ander haar afmaakt. Een gerepareerd dak sluit als de eigenaar zegt: klopt. In de geldeconomie sluit het pas als een belegger in Londen rendement ziet.
Banga noemt zelf hoe het geld binnenkwam:
Elke stap past het werk aan de belegger aan. Het water in Kenia komt er als het een vorm heeft die een fonds kan kopen. Daarna gaat de opbrengst de regio uit.
Opvallend is dat Banga zelf de les trekt die dit omkeert. Uit de energiecrisis leerde hij dat afhankelijkheden binnen een regio beter te beheersen zijn dan lange ketens door smalle corridors. Zijn voorbeeld: Ethiopian Airlines bleef vliegen dankzij een raffinaderij in Nigeria. Hij past die les toe op raffinaderijen en havens. Nog niet op geld, werk en kennis.
Banga noemt drie routes: drugs, criminaliteit en migratie. De metingen laten zien hoe ze werken.
Migratie. In 24 Afrikaanse landen dacht in 2024 47% van de mensen aan vertrek. De helft daarvan noemt werk als reden. Niet de armsten vertrekken. Emigratie stijgt met het inkomen tot ongeveer $10.000 per hoofd. Wie niets heeft, kan de reis niet betalen.
Op 30 en 31 juli 2026 zwommen ongeveer 60.000 mensen van Marokko naar Ceuta. Op hun telefoons stond een bericht dat wie de overkant haalde een verblijfsvergunning kreeg. Het was niet waar. Minstens 57 mensen verdronken. Ruim 48.000 gingen binnen enkele dagen terug. In Marokko is 35,8% van de jongeren werkloos.
In Nepal zette een verbod op 26 sociale-mediaplatforms in september 2025 het land in brand. Voor jonge Nepalezen zijn die platforms vacaturebank, nieuwsbron en werkplaats. Een kwart tot een derde van het nationaal inkomen komt van migranten in het buitenland.
Geweld. Een grote jonge generatie verhoogt het risico op conflict. Maar werkloosheid alleen is niet de aanleiding. Onderzoek in Afghanistan, Colombia en Somalië vond dat onrecht de doorslag geeft: corruptie, discriminatie, geweld door politie en leger. Een jongere wordt dan wel gezien, maar verkeerd.
Drugs. In Bangladesh gebruiken 8,2 miljoen mensen drugs, bijna 5% van de bevolking. Bijna allemaal begonnen ze voor hun 26e. Negen op de tien zeggen dat drugs makkelijk te krijgen zijn. Eén op de acht heeft toegang tot behandeling. In Ghana slikken chauffeurs en bijrijders tramadol om de dienst vol te maken. In Amerika lag de sterfte aan overdoses vijf jaar na de sluiting van een autofabriek 85% hoger dan verwacht.
Een vierde route, naar binnen. Banga noemt hem niet. In rijke landen valt dezelfde generatie naar binnen uit. In Nederland groeit de WIA het snelst bij twintigers, vooral met psychische klachten. Een wereldwijd onderzoek onder een miljoen mensen vindt dat 41% van de jongvolwassenen in een crisis zit die het dagelijks functioneren aantast. Opvallend: jongeren in Afrika ten zuiden van de Sahara doen het het best, jongeren in rijke landen het slechtst. Daar zijn familiebanden en zingeving dunner.
Het patroon onder alle vier heeft een naam: waithood, wachten op volwassenheid. De overgang naar een eigen huis, een gezin en erkend werk komt niet. Waar familie sterk is maar werk ontbreekt, gaat de spanning naar buiten. Waar familie dun is maar een vangnet bestaat, gaat ze naar binnen.
Drie programma’s zijn goed genoeg getoetst om op te bouwen.
Geen van de drie geeft inkomen op zich. Alle drie geven een daad die telt, iemand die haar ziet, en tijd om te herhalen. Dat is precies een gesloten lus.
De vraag is of zo’n sluiting op de schaal van 800 miljoen kan. Daarvoor moeten drie lussen dicht.
Werk. De MAZE-bank draait al. Het is geen bank maar het geheugen van een kring. Eén regel is een zin: Karim hielp Fatima met het dak, dinsdag. Fatima tikt “klopt”, en dan telt het. Er is geen rente. Een stand die niemand gebruikt, zakt langzaam naar nul en wordt een gift aan de kring. Geld komt alleen aan de rand voor. De kring is nog niet een jaar lang in een echte gemeenschap getoetst. Die toets ligt klaar.
Energie. Banga’s kapitaalbehoefte zit grotendeels in energie: raffinaderijen, netten, datacenters. In 2021 mat een groep in Boulder stroom uit een laagje van enkele nanometers, zonder brandstof en zonder aangelegde spanning. Omgerekend is dat 70 watt per vierkante meter, dag en nacht. Dat is ruim drie keer een zonnepaneel in Nederland. Een Nederlands huishouden heeft er 4,9 vierkante meter aan genoeg. In vijf jaar heeft niemand het onafhankelijk herhaald. Of lagen optellen is onbekend. Maar als het standhoudt, is energie geen reden meer om kapitaal van buiten te halen.
Kennis. Banga’s “kleine AI” laat een boer zijn telefoon op een blad richten. Het systeem noemt de ziekte en het gif, en de boer drukt op kopen. Eén blad, één product, het geld de regio uit. Een AI met een poort die alleen kan teruggeven wat onderbouwd is, of zeggen “weet ik niet”, beschermt juist de boer die het antwoord niet kan controleren. Die poort draait al. De andere helft, die meet of een geheel in de pas loopt, is nog niet gebouwd.
Banga’s derde zorg is de prijs van kunstmest. Toen de Straat van Hormuz dichtging, daalde de uitvoer van ureum uit de Golf in april 2026 met 83%. Kunstmest is drie problemen.
Er is één route die niemand heeft onderzocht. Een Japans industrielab meldde dat een gelaagde film met zwaar waterstof het ene element in het andere omzet, telkens vier plaatsen hoger in het periodiek systeem. Pas dezelfde stap toe op keukenzout. Natrium wordt dan fosfor. Chloor wordt kalium. De rekensom klopt precies. Het verschijnsel is niet aanvaard, en de proef met zout is nooit gedaan. Die proef is klein en beslissend.
Banga’s zorg heeft een datum. Als de crisis nog één à twee jaar duurt, zegt hij, zijn de buffers op. Dat is tussen oktober 2027 en oktober 2028. Op de ladder van drie bereiken beide huidige oorlogen in februari 2028 dezelfde grens. Wat dan niet gesloten is, wordt een trage spanning.
Voor een jongere in Caïro of Dhaka betekent dat iets concreets. Bestaat er vóór die tijd geen kring waarin zijn werk telt, dan ontlaadt de spanning langs de routes die Banga zelf noemt.
Gemeten: de kloof, het geld, de routes, de drie werkende programma’s, de stroom uit één laag, de kunstmeststromen.
Open: een jaar MAZE-bank in een echte gemeenschap, de herhaling van de laag uit Boulder, de tweede helft van de AI, kleine stikstoffabrieken, en de proef met zout.
Elk van die open punten is goedkoper te beslissen dan één jaar van de kloof.
De Boer, M. en Jongsma, M. (2026). “Wereldbank-president: ‘Wat gaan jongeren zonder hoop doen?'” Het Financieele Dagblad, 12 oktober 2026. Waarom lezen? Het interview waar dit blog op reageert. Leesadvies: lees de passage over regionale afhankelijkheden naast die over gebundelde waterprojecten. Ze wijzen in tegengestelde richting.
Konstapel, J. (2026). The Unread Generation. Constable Research, Leiden, 12 oktober 2026. Waarom lezen? Het Engelse artikel achter dit blog, met alle berekeningen, de status van elke bewering en ruim 40 geannoteerde bronnen. Leesadvies: paragraaf 5 voor wat werkt, paragraaf 7 voor kunstmest.
Wereldbank (2026). Persbericht over $112 miljard privaat kapitaal, 17 september 2026. Waarom lezen? Hoe de Bank succes meet: in opgehaald geld, niet in banen.
Afrobarometer (2024). Bijna de helft van de Afrikanen overweegt emigratie. Waarom lezen? Wie weg wil en waarom, in 24 landen.
Mercy Corps (2015). Youth & Consequences: Unemployment, Injustice and Violence. Waarom lezen? Het bewijs dat onrecht, niet werkloosheid, jongeren naar geweld drijft.
Blattman, C. e.a. (2023). “Cognitive Behavior Therapy Reduces Crime and Violence over Ten Years.” American Economic Review: Insights. Waarom lezen? Tien jaar volgen, gehalveerd crimineel gedrag, $530 per persoon.
Heller, S. B. (2014). “Summer jobs reduce violence among disadvantaged youth.” Science. Waarom lezen? Acht weken werk met een mentor, 43% minder geweld, vooral daarna.
Honwana, A. (2012). The Time of Youth. Kumarian Press. Waarom lezen? Het begrip waithood, uit gesprekken met jongeren in vier Afrikaanse landen. Leesadvies: begin met haar Lugard-lezing van 2013, twintig pagina’s.
Sapien Labs (2026). Global Mind Health in 2025. Waarom lezen? Een miljoen mensen, 84 landen, en de verrassende uitkomst dat Afrikaanse jongeren het mentaal het best doen. Leesadvies: lees de notitie over representativiteit erbij; alleen mensen met internet doen mee.
Konstapel, J. (2026). “Waarom Stijgen de Mentale klachten Wereldwijd?” constable.blog, 31 juli 2026. Waarom lezen? De vierde route, naar binnen, met de cijfers uit Nederland, Engeland en Finland.
Konstapel, J. (2026). “Hoe de MAZE Bank traditionele banken uitdaagt.” constable.blog, 8 september 2026. Waarom lezen? De kring, het verval en de drie getallen.
Konstapel, J. (2026). “Waarom ziekte geen raadsel is.” constable.blog, 16 september 2026. Waarom lezen? De toets met drie uitkomsten, waaruit dit blog de “ongelezen” jongere haalt.
Moddel, G. e.a. (2021). “Optical-Cavity-Induced Current.” Symmetry 13, 517. Waarom lezen? De meting achter elk energiegetal in dit blog. Leesadvies: figuur 4 voor de curve, paragraaf 3.2 voor de controles.
Konstapel, J. (2026). “Transmutation: Chemical Elements on Demand.” constable.blog, 9 oktober 2026. Waarom lezen? Wat er gemeten, gemeld en verworpen is over het veranderen van elementen. De bron van de zoutroute.
Konstapel, J. (2026). “Global Tensions 2026: February 2028 as a Turning Point.” constable.blog, 11 oktober 2026. Waarom lezen? De klok achter de datum van februari 2028.
U.S. Geological Survey (2026). Mineral Commodity Summaries 2026: Phosphate rock; Potash. Waarom lezen? Wie de fosfaat en het kalium van de wereld bezit.

De evolutie van planten en bomen naast de evolutie van het net
J. Konstapel, Leiden, 12 oktober 2026.
© 2026 J. Konstapel, Constable Research, Leiden. Alle rechten voorbehouden. Citeren met bronvermelding is toegestaan; overname van het geheel vereist schriftelijke toestemming.
De vraag: hoe hangt de evolutie van planten en bomen samen met de evolutie van het net uit de Vacuum.Net-theorie?
De regel: er wordt niets aan de theorie toegevoegd. Wat de theorie over haar eigen groei zegt, komt uit haar teksten. Wat over planten bekend is, komt uit metingen. Een verband is een paar van die twee met dezelfde vorm. Waar geen paar bestaat, staat dat er.
Elke uitspraak draagt een merk. Tekst: staat in een Vacuum.Net-tekst. Gemeten: gelezen in een genoemde bron. Berekend: rekenwerk, uitgeschreven. Gelezen: een koppeling die hier wordt gelegd. Een lezing is een hypothese.
Het net is één draad. Bij elke kruising staat zij in één van drie standen: +1, 0, −1. Drie buren vormen een venster. Het venster sluit als de drie standen optellen tot een drievoud. Van de 27 vensters sluiten er negen (tekst).
Een ring sluit helemaal alleen als elke stand gelijk is aan die drie plaatsen terug. Ringen met alle drie de standen bestaan alleen op diepten die deelbaar zijn door drie. Op diepte 3 zijn er twee, in tegengestelde richting. Op 4 en 5 geen. Op 6 weer twee, en een ring van 6 deelt in 3 + 3 (tekst). De teksten lezen diepte 3 als zelfhandhaving zonder deling en diepte 6 als de vorm van een eencellige (tekst).
Het net groeit volgens b(n) = 3·b(n−1) + b(n−2): 1, 3, 10, 33, 109, 360. De verhouding nadert σ₃ = (3 + √13)/2 (tekst), 3,3028 (berekend). De tweede term is het geheugen van het net (tekst).
Dan de twee-lagenwet (tekst). “σ₃ is de wet van het adres.” “φ is de wet van de spanning.” De afleiding van φ is drie zinnen. Tegenwinding op de eigen winding is ontwinding: Ψ² = 0, de sluiting verdwijnt. In de tijd heeft een bestaande sluiting daarom twee standen, laden en niet laden, en zij kan niet twee keer achter elkaar laden zonder eerst te ontladen. Dat is precies de voorwaarde die Fibonacci voortbrengt: x² = x + 1. Samengevat: adres is topologie, σ₃, groei in diepte, drietallig. Leven is spanning, φ, groei in de tijd, tweetallig. Twee lagen, één draad, nooit in één formule.
Ψ² = 0 is de nilpotente voorwaarde. “De algebra van de sluiting is de nilpotente voorwaarde Ψ² = 0” (tekst). Een aparte tekst zegt waar die vandaan komt: het stelsel van Rowlands, waarin de operator kwadrateert tot nul en het totaal van alles niets is (tekst).
Evolutie, in de teksten: “Een soort is een deelboom; een organisme is een sluiting op een diepte.” “Evolutie is geen selectie op frequentie, maar het vullen van diepten tot de volgende wordt afgedwongen.” De ruimte van diepte n is (3ⁿ − 1)/2: 1, 4, 13, 40, 121, 364. “Een groter getal dwingt de volgende diepte af” (tekst).
Ten slotte: waar drie twee ontmoet (tekst). De adresladder verdrievoudigt; de dimensieladder verdubbelt. Zij komen dicht bij elkaar waar 3^q ≈ 2^p. Dat zijn de convergenten van log₂3: 2/1, 3/2, 8/5, 19/12, 65/41, 84/53, 485/306. De noemers 1, 2, 5, 12, 41, 53, 306 zijn de sluitingsdiepten. Het quotiënt 3^q/2^p is de rest. Op diepte 12 is zij 1,01364: de komma van Pythagoras. In cents: −498, +204, −90, +23,5, −19,8, +3,6, −1,8 (berekend). De rest wordt nooit één. Elders: “geen sluiting is ooit exact: elke diepte laat een rest”; “een ladder die door een rest wordt gedreven, kan niet eindigen” (tekst).
Over planten zeggen de teksten niets. Geen blad, geen bladgroen, geen boom behalve als datastructuur en als naam naast laag 18 en 19 van de maatladder (tekst, nagezocht).
De oudste aanvaarde bewijzen, met de positie op de tijdladder (berekend uit de ouderdom in seconden en T₀ = 1,520655 × 10⁻¹⁶ s):
| Stap | Datering | Positie |
|---|---|---|
| Grote Oxidatie | 2.501–2.434 Ma; elders 2,33 Ga | 68,57–68,50 |
| Oudste thylakoïden in een fossiele cel | 1,78–1,73 Ga | 68,24 |
| Oudste zekere meercellige alg | 1,047 Ga | 67,78 |
| Oudste meercellige groenalg | ~1,0 Ga | 67,73 |
| Oudste landplantsporen | 473–471 Ma | 67,05 |
| Oudste Cooksonia | 433–427 Ma | 66,97 |
| Rhynie: huidmondjes, wortelassen | 407,1 ± 2,2 Ma | 66,92 |
| Oudste hout | 407–397 Ma | 66,90 |
| Oudste bos | 393–388 Ma | 66,88 |
| Bomen van 8 m | ~385 Ma | 66,86 |
| Oudste zaden | Laat-Devoon, 383–359 Ma | 66,85–66,80 |
| Genoomverdubbeling zaadplanten | ~319 Ma | 66,69 |
| Genoomverdubbeling bloemplanten | ~192 Ma | 66,23 |
| Oudste hele bloemplanten | ≥ 124,6 Ma | 65,84 |
| Oudste aanvaarde grassen | 67–65 Ma | 65,26 |
| Eerste C4-fotosynthese | 32–25 Ma | 64,5 |
De maten: cellulosevezel 4 nm op −2,21; thylakoïdmembraan 4,0 nm; granumherhaling 16,3 nm op −0,94; Prochlorococcus 0,5–0,7 µm op 2,2–2,5; tracheïde 10–42 µm op 4,9–6,2; vatlengte tot 27 cm op 14,19; Wattieza 8 m op 17,28; hoogste gemeten boom 112,7 m op 19,69 (gemeten; posities berekend). Tweeëntwintig posities. Het menselijk lichaam, van Bohrstraal tot langste man, beslaat er ook tweeëntwintig, ongeveer vier lager aan beide einden (berekend).
De tellingen (gemeten). In de lichtreactie: vier ladingen voordat zuurstof vrijkomt; Mn₄CaO₅; 35 chlorofyllen per kern van fotosysteem II, 96 per fotosysteem I; 14 eenheden in de ring van het ATP-synthase; 8 tot 12 lichtkwanta per O₂. In de wand: zes lobben van drie synthasen, 18 ketens per vezel; drie monolignolen in lignine; vier klassen hemicellulose. In het bouwplan: de eerste vaatplanten vertakken in twee gelijke dochters; de levenscyclus heeft twee fasen; twee bevruchtingen; twee oude genoomverdubbelingen; vier onafhankelijke oorsprongen van het platte blad; 62 oorsprongen van C4; secundaire groei in minstens zeven lijnen; meercelligheid tweemaal in elk van de drie fotosynthetische groepen. In het blad: parastichietellingen zijn opeenvolgende Fibonaccigetallen in 73,6 procent van 657 zonnebloemen; 8 en 13 in 6.000 dennenappels; en dezelfde Fibonacci-orde ontstaat in een natuurkundige proef waarin elk nieuw element wordt gelegd waar de vorige de meeste ruimte laten.
De theorie houdt twee lagen uit elkaar: het adres, drietallig, groei in diepte; en de spanning, tweetallig en φ, groei in de tijd (tekst).
De groei van de plant in de tijd telt in tweeën en in φ (gemeten). De stengel vorkt in tweeën. De generaties wisselen in tweeën. Het genoom groeide door verdubbeling, tweemaal. De bladeren volgen Fibonacci.
De staande vorm van de plant telt op twee plaatsen in drieën (gemeten). De vezel wordt gesponnen door zes drietallen. Lignine bestaat uit drie alcoholen.
De rest van de tellijst is geen van beide. Vier, vijf, veertien, 35, 96, 62. Een lijst planttellingen is gemengd, en de tweeën en drieën eruit halen is selectie achteraf. Het paar rust dus op de vier feiten aan de tijdkant, niet op de lijst. Gelezen: matig aan de tijdkant, zwak aan de vormkant.
Dit is het paar dat staat.
De sluitingsdiepten van het net zijn de convergenten van log₂3. Elk is de beste rationale benadering van een irrationaal getal op zijn grootte; elk laat een rest; de rest wordt nooit één (tekst, berekend). Op diepte 12 is zij de komma.
Het blad is dezelfde rekensom (berekend, gelezen). De convergenten van 1/φ² zijn 1/2, 1/3, 2/5, 3/8, 5/13, 8/21: de klassieke bladbreuken. De convergenten van 1/φ zijn 1/1, 1/2, 2/3, 3/5, 5/8, 8/13: de gemeten parastichieparen, met 8/13 als zesde. De hoek die volgt, 360/φ² = 137,508°, is irrationaal in omwentelingen, dus geen blad staat ooit precies boven een eerder blad. Douady en Couder maakten dit buiten de biologie na en noemden de reden: het stelsel vermijdt rationale, periodieke schikkingen en wordt naar de gulden snede gedreven (gemeten).
De theorie leidt φ af uit Ψ² = 0: een sluiting kan niet twee keer achter elkaar laden (tekst). De plant legt elk nieuw blad waar de vorige ruimte laten, nooit op het laatste (gemeten). Dat zijn twee beschrijvingen van één beperking: de volgende stap kan de vorige niet herhalen. In het net geeft dat de Fibonacciregel voor groei in de tijd. In de plant geeft dat het Fibonacciblad. De gelijkstelling is een lezing. Zij voegt geen regel toe, want beide helften staan al op papier, de ene in de theorie, de andere in de meting.
En de rest is dezelfde rest. De ladder van het net “kan niet eindigen” omdat elke diepte een rest laat (tekst). De spiraal van het blad kan niet sluiten omdat 1/φ² geen laatste convergent heeft (berekend). De komma op diepte 12, 23,5 cents, en de afstand tussen 8/13 en 1/φ, 0,0026 (berekend), zijn hetzelfde soort getal: wat overblijft als drie tegen twee wordt gemeten, of het ene blad tegen het volgende.
De teksten noemen evolutie “het vullen van diepten tot de volgende wordt afgedwongen” en een soort een deelboom (tekst). Het fossiele archief zegt dat dezelfde vormen vele malen onafhankelijk ontstonden: C4 62 keer, het platte blad vier keer, hout minstens zeven keer, meercelligheid tweemaal per groep (gemeten).
Gelezen: als een diepte wordt bereikt zodra de diepte eronder vol is, verschijnt dezelfde vorm in veel deelbomen rond dezelfde tijd en heeft zij geen enkele uitvinder. Dat is wat de tellingen laten zien.
Maar de gangbare verklaring leest dezelfde tellingen als convergente evolutie onder één druk, en voor C4 volgen de dateringen de daling van CO₂ in het Oligoceen (gemeten). De tellingen onderscheiden de twee lezingen niet. Het paar staat; het beslist nog niets.
De diepten 3 en 6. De teksten lezen diepte 3 als stofwisseling en diepte 6 als de eencellige. Het eerste organisme in de plantenlijn, de cyanobacterie van twee miljard jaar geleden, is al een delende cel met erfelijkheid (gemeten). Haar op diepte 6 zetten is een lezing; maar dan ligt de hele plantenlijn op of boven diepte 6, en de teksten geven geen ringdiepte voor alg, landplant of boom. De reeks 3 → 6 → 3 + 3 beschrijft de stap naar de cel. Niet de stappen van de cel naar de boom. Geen verband in de zin van ringdiepte. In de andere zin van diepte, de laag van het klimaatartikel, heeft elke plantmaat er wél een: dat is de positie, en de plantenlijn vult de posities 2 tot 20 (zie boven).
De sluitingsdiepten. Diepte 12 is 24 mm en 81 ps; diepte 41 is 92 minuten; diepte 53 is 93 jaar. Geen enkele geverifieerde plantgrootheid ligt daar. Ladingsscheiding 3 ps, de stap naar het chinon 200–250 ps, het huidmondje 45–60 minuten, de naald 45 jaar, de eerste eikels van de eik na 50 tot 200 jaar (gemeten). Geen verband.
De ladder. De plantenlijn beslaat 22 posities in maat en 49 in procestijd, van 1 ps tot 4.900 jaar. De dateringen beslaan vier posities. Dat zijn coördinaten. Het boek From Atom to Body toetste de maten van het lichaam op ophoping bij hele posities en vond niets; de plantlijst hier is te kort om te toetsen. Geen bewering.
Drie proeven zijn vastgelegd vóór er naar gegevens is gekeken, en op 12 oktober 2026 door Claude Code gedaan op de vooraf genoemde gegevens. De verantwoording is van de auteur. De uitslagen staan zoals ze vielen.
Proef 1, de tellijst. Bron vooraf gekozen: OpenStax Biology 2e, hoofdstukken 8, 30 en 32. Vereist: drievouden oververtegenwoordigd bij de staande vorm, tweeën en Fibonaccigetallen bij groei in de tijd, elk op één op honderd. Gevonden: 134 tellingen; 116 vorm, 11 tijd. Drievouden: 28 procent van de vormtellingen, 55 procent van de tijdtellingen. Tweeën en Fibonacci: 45 procent van de tijdtellingen, 61 procent van de vormtellingen. Beide p-waarden boven 0,9. Mislukt, in omgekeerde richting. In die tekst is twee de gewoonste telling van de staande vorm (twee sluitcellen, twee zaadlobben, twee spermacellen, twee fotosystemen) en drie de gewoonste telling van een proces (drie stadia, drie omlopen van de Calvincyclus). Het eerste paar overleeft zijn eigen proef niet.
Proef 2, de convergenten. Vereist: in de gegevens van Swinton en Fierz daalt de frequentie van elk Fibonaccipaar met zijn plaats in de reeks, en blijven niet-convergente paren onder de ruis van de auteurs of onder 10 procent. Gevonden: Swintons tellingen per waarde staan in een gegevensbestand dat niet te bereiken was; de volgordeproef kon daar niet. Het aandeel niet-convergent over alle 768 tellingen is 17,8 procent, boven de lat, al is het 5 procent bij de hoofden die de auteurs eenduidig noemen. Fierz: 0,40 procent niet-convergent in 6.000 dennenappels en 3,85 procent in 1.506 lariksappels, onder de lat; maar elk monster bevat één Fibonaccipaar, 8/13 of 5/8, zodat een volgordeproef over meerdere paren daar onmogelijk is. Mislukt volgens de regel zoals opgeschreven. De regel was slecht gemaakt: zij vroeg monsters van één soort om een reeks die zij niet kunnen bevatten. Wat de gegevens wél laten zien is smal: 97,3 procent van de dennenappels zit op één convergent van 1/φ, 8/13, en 99,6 procent op een paar van het convergententype. Dat is geen proef van het paar met het net; het is de gemeten helft ervan, bevestigd.
Proef 3, vullen tegen druk. Vereist: voor de gedateerde C4-oorsprongen past een Poissonfit van oorsprongen per 5 miljoen jaar tegen de opgehoopte C3-lijnen twee AIC-eenheden beter dan tegen CO₂, of omgekeerd. Gevonden: 53 oorsprongen met dateringen uit Christin 2008 en 2011; 92 procent in de laatste 20 miljoen jaar, mediaan 8,9 Ma, oudste 28,5 Ma. De CO₂-fit wint 50 AIC-eenheden van het nulmodel, helling −0,72 per 100 ppm. De gedateerde grassenboom die voor de lijnenkromme nodig is, was niet te bereiken, dus de vulkant is niet gebouwd. Niet gedaan. De CO₂-kant is zo sterk als de gangbare verklaring zegt; of de vulkant daaraan kan tippen, is niet bekend.
Wat na de proeven overblijft is één ding. De theorie leidt φ af voor groei in de tijd uit Ψ² = 0. Het blad groeit in de tijd op φ, tot 97,3 procent op één paar in de gemeten appels. De twee uitspraken hebben dezelfde vorm. Of het dezelfde uitspraak is, staat open, en de proef die dat sluit moet opnieuw worden gebouwd, op gegevens met meer dan één Fibonaccipaar per monster.
Konstapel, J. (2026). The Remainder in the Leaf. Constable Research, Leiden, 11 oktober 2026. Waarom lezen? Het Engelse essay waarvan dit stuk de Nederlandse uitleg is; dezelfde paren, dezelfde getallen, met het dossier van gedateerde, gemeten en getelde feiten erachter. Leesadvies: deel 4.2 voor de rest, deel 6 voor de proeven.
Konstapel, J. (2026). The Balanced Three, the Balanced Tree and the Vacuum.Net Theory. Constable Research, Leiden, 29 augustus 2026; pdf Balanced Ternary and the Balanced Tree. Waarom lezen? De bron van alles wat hier over de groei van het net staat: b(n), σ₃, de twee-lagenwet, Ψ² = 0 → φ, en “het vullen van diepten tot de volgende wordt afgedwongen.” Leesadvies: §2, §4, §5 en §11.
Konstapel, J. (2026). The Climate on the Ladder of Three. Constable Research, Leiden, 3 oktober 2026. Waarom lezen? De sluitingsregel voluit, de periode-3-stelling, de ruimte (3ⁿ − 1)/2, en §3.2: waar de ladder van drie de ladder van twee ontmoet, met de komma.
Konstapel, J. (2026). Life and Consciousness from One Rule. Constable Research, Leiden, 29 september 2026. Waarom lezen? De ringen per diepte, de twee levende ringen op diepte 3, de kloof op 4 en 5, de deling op 6. De reden dat boven de cel niets wordt gevonden.
Konstapel, J. (2026). The Universe of Peter Rowlands. Constable Research, Leiden, 29 juni 2026. En Rowlands, P. (2007). Zero to Infinity: The Foundations of Physics. World Scientific, Series on Knots and Everything 41. Waarom lezen? Waar Ψ² = 0 vandaan komt: een operator waarvan het kwadraat nul is, en een totaal dat niets is.
Konstapel, J. (2026). From Atom to Body. Constable Research, Leiden, eerste druk. Waarom lezen? De ladder, de natuurlijke eenheden, de vier merken, en de proef die liet zien dat de ladder ordent maar niet kiest.
Douady, S., en Couder, Y. (1992). “Phyllotaxis as a physical self-organized growth process.” Physical Review Letters 68, 2098–2101. Waarom lezen? Fibonacci-orde gemaakt in een schaal ferrovloeistof: elke nieuwe druppel waar de vorige ruimte laten, en de gulden snede als ontsnapping aan elke rationale schikking. De gemeten helft van het sterkste paar.
Swinton, J., Ochu, E., en het MSI Turing’s Sunflower Consortium (2016). “Novel Fibonacci and non-Fibonacci structure in the sunflower.” Royal Society Open Science 3, 160091. Waarom lezen? 657 zonnebloemen; 565 van 768 tellingen Fibonacci. Het getal achter “73,6 procent”, en de minderheid die Proef 2 nodig heeft.
Fierz, V. (2015). “Aberrant phyllotactic patterns in cones of some conifers: a quantitative study.” Acta Societatis Botanicorum Poloniae 84, 261–265. Waarom lezen? 6.000 appels van één den, 8/13 overheersend, en de afwijkende patronen gerangschikt naar hun afstand tot 0,618.
Nixon, B. T., e.a. (2016). “Comparative structural and computational analysis supports eighteen cellulose synthases in the plant cellulose synthesis complex.” Scientific Reports 6, 28696. En Hill, J. L., Hammudi, M. B., en Tien, M. (2014). Plant Cell 26, 4834–4842. Waarom lezen? Zes lobben van drie: de ene telling van drie in de vorm van de plant die tot op het molecuul is gemeten.
Vanholme, R., Demedts, B., Morreel, K., Ralph, J., en Boerjan, W. (2010). “Lignin biosynthesis and structure.” Plant Physiology 153, 895–905. Waarom lezen? De drie monolignolen, bij naam.
Edwards, D., Davies, K. L., en Axe, L. (1992). “A vascular conducting strand in the early land plant Cooksonia.” Nature 357, 683–685. Waarom lezen? De eerste vaatplant: gelijk vertakkende assen, twee gelijke dochters, en de eerste tracheïden.
Jiao, Y., e.a. (2011). “Ancestral polyploidy in seed plants and angiosperms.” Nature 473, 97–100. Waarom lezen? De twee verdubbelingen van het plantengenoom, rond 319 en 192 miljoen jaar.
Niklas, K. J., en Kutschera, U. (2010). “The evolution of the land plant life cycle.” New Phytologist 185, 27–41. Waarom lezen? De twee generaties, en de voorouder die er maar één had.
Sage, R. F., Christin, P.-A., en Edwards, E. J. (2011). “The C4 plant lineages of planet Earth.” Journal of Experimental Botany 62, 3155–3169. En Christin, P.-A., e.a. (2008). “Oligocene CO₂ decline promoted C4 photosynthesis in grasses.” Current Biology 18, 37–43. Waarom lezen? Tweeënzestig onafhankelijke oorsprongen, en de datering die de eerste aan de CO₂-daling bindt. De gegevens voor Proef 3.
Boyce, C. K., en Knoll, A. H. (2002). “Evolution of developmental potential and the multiple independent origins of leaves in Paleozoic vascular plants.” Paleobiology 28, 70–100. Waarom lezen? Vier oorsprongen van het platte blad, uit 641 fossiele soorten.
Demoulin, C. F., Lara, Y. J., Lambion, A., en Javaux, E. J. (2024). “Oldest thylakoids in fossil cells directly evidence oxygenic photosynthesis.” Nature 625, 529–534. Waarom lezen? De oudste fotosynthese die rechtstreeks is gezien, 1,75 miljard jaar oud, en het oudste aanvaarde cyanobacteriefossiel op 2,0.
Rubinstein, C. V., Gerrienne, P., de la Puente, G. S., Astini, R. A., en Steemans, P. (2010). “Early Middle Ordovician evidence for land plants in Argentina.” New Phytologist 188, 365–369. Waarom lezen? De oudste landplantsporen, 473–471 miljoen jaar.
Stein, W. E., Mannolini, F., VanAller Hernick, L., Landing, E., en Berry, C. M. (2007). “Giant cladoxylopsid trees resolve the enigma of the Earth’s earliest forest stumps at Gilboa.” Nature 446, 904–907. Waarom lezen? De eerste bomen van acht meter, 385 miljoen jaar geleden: 88 miljoen jaar na de eerste sporen.
Morris, J. L., e.a. (2018). “The timescale of early land plant evolution.” PNAS 115, E2274–E2283. Waarom lezen? De moleculaire-klokmarges voor groene planten, landplanten en vaatplanten, naast de fossiele dateringen gezet.
J.Konstapel,Leiden,12-10-2026.
© 2026 J. Konstapel, Constable Research, Leiden. All rights reserved. Quotation with attribution is permitted; reproduction of the whole requires written permission.
Aanleiding: Energiewereld roept om nieuw klimaatfonds, maar zo’n miljardenpot lijkt politiek onhaalbaar (FD, 12-10-2026).
De energiewereld wil een nieuw klimaatfonds. Het oude fonds van €35 miljard is leeg. Na 2030 raken ook de andere potten op. Het Nationaal Plan Energiesysteem rekent met €40 tot €60 miljard aan investeringen per jaar. Dat is twee tot drie keer zoveel als nu. Duitsland heeft een fonds van €500 miljard. De sector is jaloers.
Het PBL laat zien waarom de druk zo hoog is. Nederland komt in 2040 uit op 65% minder uitstoot dan in 1990. In het gunstigste geval 72%. Het doel is 90%.
Haagse bronnen zeggen dat een nieuw fonds politiek onhaalbaar is. Er zijn andere prioriteiten: defensie, woningbouw, sociale zekerheid, box 3.
Het debat gaat dus over één vraag: hoeveel geld komt er? Dat is de verkeerde vraag. De cijfers laten zien waarom.
Het energiesysteem is te lezen als een visnet. Er zijn draden, knopen en mazen. Een knoop houdt alleen als hij op zichzelf sluit. Een knoop die alleen blijft zitten omdat iemand hem vasthoudt, valt uit elkaar zodra die hand loslaat.
Een fonds is zo’n hand. Het houdt van buitenaf open wat niet zelf sluit. De vraag is daarom niet hoe groot de hand moet zijn. De vraag is welke knopen zelf houden.
De subsidieregeling SDE laat het patroon goed zien.
Wat geen brandstof nodig heeft, blijft steeds vaker zelf staan. Volgens de evaluatie van de SDE++ is een groeiend deel van de zon- en windprojecten op land rendabel zonder subsidie.
Wat brandstof nodig heeft, valt weg. Voor biomassa bestaan aparte regelingen om installaties na afloop van hun subsidie overeind te houden. De biomassafabriek van Primco in Duiven had recht op maximaal €65 miljoen over twaalf jaar. Toen de geldstroom haperde, lag het werk stil.
Veel van wat wordt toegezegd, komt er nooit. Van de SDE++-rondes 2020–2022 was na twee jaar 14% gerealiseerd. Voor €756 miljoen werden beschikkingen ingetrokken. In 2022 leverden de projecten samen 23 kiloton CO₂-reductie op. Bij de rondes van 2019 en voorjaar 2020 werd meer dan de helft van de projecten nooit gebouwd. In 2021 werden aanvragen voor CO₂-opslag van €6,1 miljard ingetrokken.
Het patroon is eenduidig. Wat sluit, blijft. Wat wordt opengehouden, verdwijnt zodra het geld stopt. Een nieuw fonds verlengt het openhouden. Het maakt niets gesloten.
De voorzitter van de NVDE zegt in het FD dat Nederland een gat van 25% al eerder heeft gedicht. In 2016 voorspelde het PBL 24% reductie voor 2030. Nu komen we rond 50% uit.
De cijfers van het CBS vertellen een ander verhaal.
De grootste stap kwam van buiten. Van een prijsschok en van het weer. Het PBL zei al in 2019 dat de kolen- en gasprijs wereldwijd worden bepaald en de CO₂-prijs in Europa.
Ook het Klimaatakkoord van 2019 was minder breed dan het lijkt. Greenpeace, Milieudefensie, Natuur & Milieu, FNV en MVO Nederland tekenden niet. Hun bezwaar: de industrie werd niet gehouden aan haar beloofde 19,4 megaton, en de deur bleef open voor CO₂-opslag.
Wat in het FD-artikel ontbreekt, is het net.
De wachtrij van bedrijven bij de regionale netbeheerders groeide eind 2025 tot ruim 15.000 aanvragen. Een nieuwe aansluiting kostte gemiddeld 45 weken wachten. De maatschappelijke schade wordt geschat op €10 tot €40 miljard per jaar. De netbeheerders investeren nu €8,5 miljard per jaar. Richting 2040 kan netuitbreiding oplopen tot €270 miljard.
Dat betekent: het vastgelopen net kost per jaar ongeveer evenveel als het hele Klimaatfonds in zijn bestaan. Wie een nieuw fonds vult zonder het net te veranderen, vult een emmer met een gat.
Het elektriciteitsnet is ontworpen rond de stoomturbine. Grote centrales draaien op 50 hertz. De stroom gaat via vele transformaties naar het stopcontact.
Een gascentrale zet 55 tot 60% van de brandstof om in stroom. Een kolencentrale ongeveer 40%. De rest verdwijnt als warmte. Bij elke transformatiestap gaat nog eens ongeveer 1,5% verloren. Een studie van KEMA voor de NMa kwam uit op 5.400 gigawattuur netverlies per jaar, ter waarde van €400 miljoen.
Reken de keten door. Bij gas komt 0,58 × 0,95 ≈ 0,55 van de brandstof aan. Bij kolen 0,40 × 0,95 ≈ 0,38. Bijna de helft gaat verloren voordat er iets gebeurt.
Wind en zon passen slecht in dat ontwerp. Ze leveren in pieken. Het net is gebouwd voor gelijkmatige centrale levering. Daar komt de congestie vandaan.
Er is een tweede rekening die niemand opmaakt: water.
Gemeten op land. In Chinese graslanden daalde het bodemvocht binnen windparken met 4,4%. Benedenwinds was de afname gemiddeld tot 2,85%, bovenwinds 0,21%. In Texas warmde de grond boven vier grote windparken met ruim 2.350 turbines op met 0,72 °C per decennium, vooral ‘s nachts. Warmere grond verdampt meer water.
Berekend op zee. Het Helmholtz-Zentrum Hereon rekende in 2021 dat parken op de Noordzee elkaar de wind afnemen. Hoe groter en dichter op elkaar, hoe meer de opbrengst daalt: met 20% of meer bij de parken benedenwinds. In 2022 vond dezelfde groep dat de wind achter de parken ongeveer 1 meter per seconde afneemt. Boven de parken valt 5% meer regen.
In augustus 2026 volgde de volgende stap. Bij grootschalige uitbreiding regent de lucht uit boven zee. Aan de kust komt minder aan. Voor delen van Denemarken, Duitsland, Nederland en het Verenigd Koninkrijk rekent het model tot 15% minder neerslag aan de kust. Het gaat om een bewust extreem scenario, boven de 300 gigawatt die voor 2050 wordt besproken. Een andere modelstudie voor Midden-Europa vond op land juist een zeer klein effect.
De richting is wel duidelijk. Op de Noordzee wordt de grootste bouwopgave van Europa gepland. Langs de kust wonen en werken de mensen die het water nodig hebben: boeren in Noord-Holland, Friesland en Zeeland, drinkwaterbedrijven, natuurbeheerders in de duinen. Nederland worstelt al met droogte. In het FD-artikel, het Klimaatfonds en het pleidooi voor een nieuw fonds komt water niet voor.
Waarom ziet niemand dit? Het antwoord ligt in hoe de sector beweegt. Iedereen loopt dezelfde kant op, in dezelfde maat. In de natuurkunde heet dat fase-vergrendeling: losse ritmes die in elkaars pas vallen tot ze één ritme zijn.
Op de Noordzee is dat letterlijk te zien. Alle landen bouwen op dezelfde plek. De parken nemen elkaar de wind af. De zwerm verlaagt zijn eigen opbrengst.
In de subsidie ook. De gerealiseerde projecten uit de SDE++-rondes 2020–2022 waren vrijwel uitsluitend zonnepanelen.
En in wat níet wordt gedaan. Voor vroege, nieuwe technologie lag bij het PBL €4,2 miljard aan aanvragen op tafel. Er was nog €228 miljoen vrije ruimte. Van de €13,2 miljard die vrij is in het Klimaatfonds, zit €13 miljard bij kernenergie.
Er bestaat een andere route. Ze staat in een vakblad, niet in een fonds.
In 2021 bouwde de groep van Garret Moddel in Boulder een laagje van enkele nanometers met een spiegel ervoor. Zonder aangelegde spanning leverde het stroom. Er gingen acht controles op meetfouten overheen, meer dan duizend exemplaren werden gemaakt en de opbrengst werd zes maanden gevolgd. De gemeten waarde: 1,4 picowatt op 0,02 vierkante micrometer. Dat is 70 watt per vierkante meter per laag.
In de VS haalde het bedrijf Casimir Inc. in mei 2026 $12 miljoen op voor een chip op dezelfde basis. Die moet in 2028 op de markt komen. De chip is ontworpen voor 1,5 volt bij 25 microampère op 5 bij 5 millimeter.
Reken het om:
| Vermogen per m² | Per m² per jaar | |
|---|---|---|
| Zonnepaneel in Nederland | ~23 W gemiddeld | ~200 kWh |
| Casimir-chip (37,5 µW op 25 mm²) | 1,5 W, dag en nacht | ~13 kWh |
| Moddel, één laag | 70 W, dag en nacht | ~613 kWh |
Bij 70 watt per vierkante meter levert één laag ongeveer drie keer zoveel als een zonnepaneel. Zonder net. Zonder ruimtebeslag. Zonder effect op wind of regen. Een huishouden met 3.000 kilowattuur per jaar gebruikt gemiddeld 342 watt. Dat is 4,9 vierkante meter van één laag.
In het beeld van het visnet is dit een maas die doorlaat. Hoe kleiner de maas, hoe meer er doorgaat. Er wordt niets verbrand en niets vervoerd. De voorziening hoort bij het huis, niet bij een centrale.
Nederland heeft groepen die drie van de vier benodigde stappen al beheersen: in Groningen, Twente, Eindhoven, Amsterdam en Delft. De vierde stap, hoeveel van wat de maas sluit als stroom naar buiten komt, wordt nergens in Nederland onderzocht.
Geen groter fonds. Een andere vraag.
Gemeten: de lage realisatie en de intrekkingen in de SDE, de rol van gasprijs en weer in de daling van de uitstoot, de netcongestie en haar kosten, het verdrogen van bodem in Chinese windparken, de nachtelijke opwarming in Texas, de stroom uit het laagje van Moddel.
Berekend: de windverliezen en neerslageffecten op de Noordzee. Dat zijn modelresultaten, het sterkste effect in een extreem scenario.
Open: of de stroom van Moddel standhoudt bij herhaling elders. Vijf jaar na publicatie is er geen onafhankelijke herhaling. Een theoretische analyse uit 2024 verwerpt het voorgestelde mechanisme, maar laat de meting staan. Of lagen optellen is onbekend.
Juist dat open punt is goedkoop te beslissen. Het kost minder dan één jaar aan netverlies.
Rooijers, E. en Selderbeek, E. (2026). “Energiewereld roept om nieuw klimaatfonds, maar zo’n miljardenpot lijkt politiek onhaalbaar.” Het Financieele Dagblad, 12 oktober 2026. Waarom lezen? De stand van het debat: het lege fonds, de €40–60 miljard per jaar, de jaloezie op Duitsland en de spagaat van de minister. Leesadvies: lees het met de vraag wat er níet in staat: het net en het water.
Solar Magazine (2026). “Planbureau slaat alarm: kernenergie pakt nagenoeg heel het Klimaatfonds.” 17 september 2026. https://solarmagazine.nl/nieuws-zonne-energie/i44806/planbureau-slaat-alarm-kernenergie-pakt-nagenoeg-heel-het-klimaatfonds-en-laat-energietransitie-met-kruimels-achter Waarom lezen? De PBL-quickscan in cijfers: €13 van de €13,2 miljard vrije ruimte bij kernenergie, €228 miljoen tegenover €4,2 miljard aan aanvragen voor nieuwe technologie.
Ministerie van KGG (2024). Tussentijdse evaluatie SDE++ (2020–2022). https://zoek.officielebekendmakingen.nl/blg-1131349.pdf Waarom lezen? De harde cijfers over realisatie: 14% gebouwd, €756 miljoen ingetrokken, 23 kiloton reductie in 2022. Leesadvies: de samenvatting volstaat; de passage over projecten die zonder subsidie rendabel zijn is de kern.
RVO. Feiten en cijfers SDE(+)(+). https://www.rvo.nl/subsidies-financiering/sde/aanvragen/feiten-en-cijfers Waarom lezen? Per aanvraagronde wat gebouwd, in ontwikkeling of ingetrokken is. Laat zien dat bij sommige rondes meer dan de helft nooit werd gebouwd.
CBS (2023, 2024, 2025). Jaarlijkse berichten over de uitstoot van broeikasgassen. https://www.cbs.nl/nl-nl/nieuws/2024/11/uitstoot-broeikasgassen-6-procent-lager-in-2023 · https://www.cbs.nl/nl-nl/nieuws/2025/11/daling-uitstoot-broeikasgassen-vlakt-af-in-2024 Waarom lezen? Per jaar wat de daling deed: gasprijs, weer, wind en zon. Leesadvies: leg 2021, 2022 en 2023 naast elkaar; het patroon spreekt voor zich.
PBL (2019). “Recente marktontwikkelingen verhogen raming broeikasgasemissies 2020.” https://www.pbl.nl/recente-marktontwikkelingen-verhogen-raming-broeikasgasemissies-2020 Waarom lezen? Het planbureau zelf over hoe wereldprijzen van kolen en gas de Nederlandse uitstoot sturen. Kort en helder.
Greenpeace e.a. (2018). “Klimaatakkoord niet gedragen door milieu- en vakbeweging.” 21 december 2018. https://www.greenpeace.org/nl/algemeen/12649/klimaatakkoord-niet-gedragen-door-milieu-en-vakbeweging/ Waarom lezen? Wie niet tekende en waarom. Corrigeert het beeld van een breed gedragen akkoord.
ACM (2025). Schriftelijke inbreng deskundigenbijeenkomst netcongestie, 23 september 2025. https://www.eerstekamer.nl/bijlage/20250918/position_paper_autoriteit/document3/f=/vmqwkwtmkcrn.pdf Waarom lezen? De €10–40 miljard aan maatschappelijke kosten per jaar en de €8,5 miljard aan netinvesteringen, uit de mond van de toezichthouder.
Solar Magazine (2026). “Wachtrij stroomnet groeit naar 15.000 aanvragen.” 3 april 2026. https://solarmagazine.nl/nieuws-zonne-energie/i43390/wachtrij-stroomnet-groeit-naar-15-000-aanvragen-oplossing-stikstofproblematiek-in-zicht Waarom lezen? De stand van de wachtrij en de maatregelen van het kabinet. Laat zien hoe het probleem groeit terwijl de oplossingen in jaren worden gemeten.
KEMA Nederland (2011). Verdeling van de kosten van netverliezen. Rapport voor de NMa. https://berthub.eu/tkconv/getraw/2011D26421 Waarom lezen? De 5.400 gigawattuur en €400 miljoen netverlies per jaar, technisch onderbouwd. Leesadvies: hoofdstuk 2.
Klimaatstichting HIER (2026). Lokale Energie Monitor 2025. https://www.hier.nu/lokale-energie-monitor-2025 Waarom lezen? 696 coöperaties, 143.000 leden, 9.000 vrijwilligers, en de terugval in 2025. Het gezicht van de energietransitie van onderop, en waar die vastloopt.
Wang, G. e.a. (2023). “Wind farms dry surface soil in temporal and spatial variation.” Science of the Total Environment 857, 159293. https://pubmed.ncbi.nlm.nih.gov/36209881/ Waarom lezen? Gemeten verdroging van de bodem binnen en rond windparken, per seizoen en windrichting. Leesadvies: de samenvatting en de figuren met bovenwinds tegen benedenwinds.
Zhou, L. e.a. (2012). “Impacts of wind farms on land surface temperature.” Nature Climate Change 2, 539–543. https://tethys.pnnl.gov/publications/impacts-wind-farms-land-surface-temperature Waarom lezen? De eerste satellietmeting van opwarming boven windparken: 0,72 °C per decennium, vooral ‘s nachts. Kort artikel, goed leesbaar.
Akhtar, N., Geyer, B., Rockel, B. e.a. (2021). “Accelerating deployment of offshore wind energy alter wind climate and reduce future power generation potentials.” Scientific Reports 11. https://doaj.org/article/c8bb766548d14226af1c3f403ff1f97a Waarom lezen? Hoe parken op de Noordzee elkaar de wind afnemen, tot 20% of meer. De onderzoekers noemen wind op de Noordzee een beperkte bron.
Akhtar, N., Geyer, B. en Schrum, C. (2022). “Impacts of accelerating deployment of offshore windfarms on near-surface climate.” Scientific Reports 12. https://marineinfo.org/id/publication/359580 Waarom lezen? Minder wind achter de parken, meer regen erboven, en een windeffect groter dan dat van klimaatverandering zelf.
Akhtar, N., Elizalde, A., Geyer, B. en Schrum, C. (2026). “Projected impacts of future offshore wind farms on coastal precipitation over the Northwest European shelf.” Communications Earth & Environment. https://nachrichten.idw-online.de/2026/08/20/offshore-wind-farms-could-alter-precipitation-patterns Waarom lezen? Tot 15% minder kustneerslag voor onder meer Nederland in een extreem uitbreidingsscenario. Leesadvies: begin met het persbericht van Hereon, daarna de figuren met de kustregio’s.
Hewage e.a. (2026). “Impact of Wind Turbines on Near-Surface Microclimate and Soil Moisture Under Different Stability Regimes.” Boundary-Layer Meteorology 192:50. https://tethys.pnnl.gov/sites/default/files/publications/Hewage_et_al_2026.pdf Waarom lezen? Het tegengeluid: een model voor Midden-Europa met een zeer klein effect op bodemvocht. Lees het naast Wang om te zien hoe gemeten en gemodelleerd uiteenlopen.
Moddel, G., Weerakkody, A., Doroski, D. en Bartusiak, D. (2021). “Optical-Cavity-Induced Current.” Symmetry 13, 517. https://www.mdpi.com/2073-8994/13/3/517 Waarom lezen? De enige gemeten structuur van haar soort, met acht controles op meetfouten. Leesadvies: tabel 1 voor de opbouw, figuur 4 voor de metingen, paragraaf 3.2 voor de controles.
Maclay, G. J. (2024). “Modeling Electronic Devices with a Casimir Cavity.” Physics 6, 1124–1131. Waarom lezen? De enige theoretische analyse van het apparaat. Verwerpt het voorgestelde mechanisme, laat de meting staan. Laat zien waarom het open punt open is.
Casimir Inc. (2026). Aankondiging van de seed-ronde van $12 miljoen, 12 mei 2026. https://thequantuminsider.com/2026/05/12/casimir-launches-with-12-million-oversubscribed-seed-round-to-bring-quantum-energy-chip-to-market/ Waarom lezen? Wat er in de VS gebeurt terwijl Nederland niets doet: een chip met een datum.
Konstapel, J. (2026). “Het Net.” constable.blog, 2 augustus 2026. https://constable.blog/2026/08/02/the-net/ Waarom lezen? Het visnet als beeld van het vacuüm: draad, knoop, maas en de regel dat alleen blijft wat sluit.
Konstapel, J. (2026). “Wat er uit het vacuüm te halen is, en langs welke twee wegen.” constable.blog, 27 september 2026. https://constable.blog/2026/09/27/wat-er-uit-het-vacuum-te-halen-is-en-langs-welke-twee-wegen/ Waarom lezen? De rekenregel van maas naar opbrengst en de toets op de meting van Moddel.
Konstapel, J. (2026). “Three Roads to a Dynamic Vacuum.” constable.blog, 6 oktober 2026. https://constable.blog/2026/10/06/vacuum-netmoddelcasimirinc/ Waarom lezen? De drie onafhankelijke lijnen naast elkaar, en de Nederlandse groepen die drie van de vier stappen al beheersen. Leesadvies: paragraaf 6 en 9.
Konstapel, J. (2026). “How to Improve the Perovskite Crystal.” constable.blog, 12 oktober 2026. https://constable.blog/2026/10/12/how-to-improve-the-perovskite-crystal-the-next-big-thing-in-solar-energy/ Waarom lezen? Een concreet ontwerp voor de ontbrekende meting, met een wand die in drie standen kan worden gezet. Leesadvies: paragraaf 11 en 12.

J.Konstapel,Leiden,12-10-2026.
© 2026 J. Konstapel. Quotation with attribution is permitted. Reproduction of the whole requires written permission.
Aanleiding: Delftse microscooptechnologie boekt succes in de vermaarde labs van Harvard, MIT en Google
The perovskite crystal is one of the most versatile structures in materials science. It powers solar cells, ferroelectrics, superconductors and catalysts. This essay examines that structure through the closure rule of the Vacuum.Net theory. Four findings stand out.
First, the perovskite unit cell is an occupation of the trit cube. The chemical formula ABX₃ follows from occupying three of the cube’s four grades. Second, barium titanate passes through all four grades as it cools. The number of variants in each phase matches the number of cells per grade: 1, 6, 12 and 8. Third, the closure rule carries the point symmetry −3m. Perovskites reach exactly this symmetry in their deepest rhombohedral states.
Fourth, and most practical: a ferroelectric perovskite can act as the open wall of a mesh. Its polarisation has three states — positive, zero and negative. This gives a single junction three settings of its asymmetry. The only measured device of this kind has lacked exactly that.
Along the way, the essay corrects one step in an earlier reading of that device. The published curve shows current, not power. At the widest gap, the difference is a factor of more than ten.
Picture a fishnet stretched in water. One strand runs everywhere and crosses itself. The strands are under tension. Where strands wind around each other, knots form. These knots are matter. Between the strands lie meshes: openings with a shape and a size. A winding persists only if it returns in phase inside its mesh.
At each crossing, the strand holds one of three values: +1, 0 or −1. This unit is the trit. Three trits form a window. A window is closed when its three values sum to zero, counted modulo 3. An open window carries tension. Only what closes, stays.
Three values in three places give 27 windows. Nine of them close. Three have equal values: (+,+,+), (0,0,0) and (−,−,−). Six have three different values: the six orders of (−, 0, +). The remaining 18 are open.
Give each axis of a cube one trit. A value of 0 means the axis plays no part. A value of +1 or −1 means it takes part, with that sign. Each cell (x, y, z) then has a grade: the number of axes that do not read 0.
| Grade | Position in the cube | Cells |
|---|---|---|
| 0 | centre | 1 |
| 1 | on the axes | 6 |
| 2 | in the median planes | 12 |
| 3 | at the corners | 8 |
The total is 1 + 6 + 12 + 8 = 27 = 3³.
Apply the closure rule to the cells. A cell closes when x + y + z ≡ 0 (mod 3). Nine cells close. The centre (0,0,0) is one of them. Six plane cells with opposite signs, such as (1, −1, 0), form a hexagon around the centre. The two corners (1,1,1) and (−1,−1,−1) complete the set.
All six axis cells are open; their sum is ±1. Six of the eight corners are open. Six of the twelve plane cells are open.
The ideal perovskite has the formula ABX₃. Its prototype is CaTiO₃. Place the B ion at the origin and take half the cell edge as the unit. The ions then sit on the cells of the trit cube.
| Grade | Cells | Occupant | Share per cell | Count | Closed / open |
|---|---|---|---|---|---|
| 0 | 1 | B | 1 | 1 | 1 closed |
| 1 | 6 | X | 1/2 (shared by 2 cells) | 3 | 6 open |
| 2 | 12 | empty | — | — | 6 closed, 6 open |
| 3 | 8 | A | 1/8 (shared by 8 cells) | 1 | 2 closed, 6 open |
The count gives B₁X₃A₁, which is ABX₃. The perovskite formula is the occupation of grades 0, 1 and 3 of the cube.
Three features follow at once:
The A ion sits in the opening between eight octahedra. In the terms of the net, A is the occupant of a mesh. Goldschmidt’s tolerance factor measures how well it fits:
t = (r_A + r_X) / (√2 · (r_B + r_X))
The ideal value is 1. Three titanates illustrate the range, using Shannon radii (O²⁻ 1.40 Å; Ti⁴⁺ 0.605 Å; A in twelvefold coordination):
The sign of (t − 1) acts as a trit. A positive value means the centre gives up its closure. Zero means rest. A negative value means the rotation register absorbs the misfit. All three outcomes are measured. Their reading as one trit is an interpretation.
Barium titanate passes three transitions on cooling. It is cubic above 403 K, tetragonal down to 278 K, orthorhombic down to 183 K, and rhombohedral below that. The polarisation in the three polar phases points along [001], [011] and [111].
Count the symmetry-equivalent states per phase:
| Phase | Polarisation | Variants | Grade of the cube | Cells |
|---|---|---|---|---|
| cubic | none | 1 | 0, centre | 1 |
| tetragonal | ⟨001⟩ | 6 | 1, axes | 6 |
| orthorhombic | ⟨011⟩ | 12 | 2, planes | 12 |
| rhombohedral | ⟨111⟩ | 8 | 3, corners | 8 |
The sum is again 27. On cooling, the titanium ion walks from grade 0 through grades 1 and 2 to grade 3. The number of variants per phase equals the number of cells per grade.
Atomistic simulation adds one detail. Locally, the titanium is displaced towards a corner in every phase. The higher phases are averages: over 8 corners for cubic, 4 for tetragonal, 2 for orthorhombic. The rhombohedral phase is the ground state, with three polar components in every cell.
Which symmetries of the cube keep the nine closed cells closed? Any permutation of the coordinates keeps x + y + z unchanged: 6 elements. Reversing all signs turns a sum of 0 into 0, and ±3 into ±3 — both closed: 2 elements. Together these give 12 elements. A single sign change breaks closure: (1, −1, 0) becomes (−1, −1, 0), with sum −2. No larger group preserves the closed set.
This group of order 12, built from coordinate permutations and inversion, is the point group −3m. The full symmetry group of the cube has 48 elements. The index is 48 / 12 = 4: there are four ways to choose which body diagonal is the axis of closure.
The closure rule therefore carries the trigonal symmetry of one body diagonal. Perovskites reach exactly this symmetry in their deepest states:
The count is exact. That the coincidence is more than a coincidence is a reading.
When t < 1, the octahedra rotate. Glazer’s notation gives each axis a⁺ (in-phase rotation from layer to layer), a⁻ (out of phase) or a⁰ (none). This alphabet per axis is itself a trit.
The raw sign patterns number 27. Up to a permutation of axes, there are 10 sign types. Magnitudes split these further. Glazer listed 23 tilt systems. Group theory by Howard and Stokes reduced them to 15 distinct space groups.
A natural test is to apply the closure rule to the signs. The closed patterns are a⁰a⁰a⁰, a⁺a⁺a⁺, a⁻a⁻a⁻ and a⁰b⁺c⁻. The most common real pattern, a⁻a⁻c⁺ (the GdFeO₃ type, Pnma), has a sum of −1 and is open.
The closure rule on tilt signs does not predict which rotation patterns occur most often. The test was built for this essay, and it is not part of the theory. “In phase” and “out of phase” describe repetition along an axis, not the value at a crossing. The negative result stands.
The Vacuum.Net theory names two ways in which the net lets energy pass.
A perovskite solar cell lives on the second road, at a distance. It catches windings that the sun has released. It needs light.
A device on the first road needs no light. Its question is how much of what the mesh closes leaves as current.
Perovskites can serve the first road too — not as the cell that catches light, but as the wall of the mesh. Before that, one point about the record of the first road needs setting straight.
Moddel, Weerakkody, Doroski and Bartusiak (2021) built metal–insulator–metal tunnel junctions with an optical cavity on one side. For the cavity series, the stack was:
The active area was 0.02 ± 0.006 µm². At zero applied voltage, the junctions delivered current. For linear current–voltage curves, the maximum power is |I_sc · V_oc| / 4. For the 33 nm cavity this was 1.4 pW. Thinner cavities gave more current.
The group ran eight tests for artefacts. These covered stability over four hours, scaling with area, scaling in 4×4 arrays, the stage of processing at which current appears, leakage through the cavity, electromagnetic pickup, and two thermoelectric checks. All came out negative. The trends held in over 1000 devices from 21 batches. After six months, output had fallen by less than 10% with PMMA and less than 20% with SiO₂.
The authors call their mechanism conjectural. They expected the energy density of suppressed modes to scale as 1/d³, did not see it, and did not attempt a quantitative fit.
1.4 × 10⁻¹² W over 2 × 10⁻¹⁴ m² gives 70 W/m² for one layer at 33 nm. One natural mesh measures (45.6 nm)² = 2.08 × 10⁻¹⁵ m². At 70 W/m², that is 1.46 × 10⁻¹³ W per mesh.
Maclay (2024) modelled the device using current calculations of vacuum fluctuations in a cavity. Two results bear on it. An ideal cavity raises the mean energy of electrons near the electrode, which would drive current in the opposite direction to the one observed. And that mean energy is nearly independent of cavity size, which contradicts the measured dependence. Maclay concludes that the proposed mechanism does not hold. He does not dispute the measurement.
A 2026 funding proposal for a first independent test reports that, five years on, there have been no independent replications, no public raw data and no experimental critiques. It also names an untested pathway. Palladium on aluminium oxide is the standard construction of a hydrogen sensor. The original artefact list did not test hydrogen.
The record of the open side is therefore one group, one structure, a mechanism its own authors call conjectural, and a theoretical analysis that rejects that mechanism while leaving the data standing.
An earlier reading of the device (Konstapel, 2026b) derived a rule for the mesh. Passage equals one over the open size, 1/L, so the slope on a log-log plot should be −1. The test used Moddel’s Figure 4b and read a slope of −0.9 ± 0.15. The interval contains −1.
Figure 4b, however, plots short-circuit current against cavity thickness — not power.
For a linear junction with resistance R, the open-circuit voltage is V_oc = I_sc · R. The maximum power is then P = I_sc · V_oc / 4 = I_sc² · R / 4. If R does not change with cavity thickness, power scales as the square of current. A current slope of −0.9 becomes a power slope of −1.8.
The effect on the numbers, anchored at 70 W/m² for 33 nm:
| Gap | Ratio 33/L | Power if P = 1/L | Power if P = 1/L^1.8 | Power if P = 1/L² |
|---|---|---|---|---|
| 33 nm | 1 | 70 W/m² | 70 W/m² | 70 W/m² |
| 45.6 nm | 0.7237 | 50.7 W/m² | 39.1 W/m² | 36.7 W/m² |
| 1100 nm | 0.0300 | 2.10 W/m² | 0.127 W/m² | 0.063 W/m² |
At the widest gap, the readings differ by a factor of 2.10 / 0.127 ≈ 16.5.
Two ways forward are consistent:
The first is the natural reading. Larson’s ladder gives power as 1/S, but what crosses the junction is charge. The voltage across a fixed resistance adds a second factor of 1/L. On that reading, the earlier figure of about 2 W/m² at 1100 nm becomes about 0.06–0.13 W/m².
Nothing at 33 nm changes. The household estimates built on 70 W/m² at 33 nm stand as they were.
The question is not closed. Resistance varies widely between nominally equal junctions, and the published values are averages over chips. Digitising Figure 4a, which gives the full current–voltage line per thickness, would yield V_oc per thickness and settle the power slope directly.
A ferroelectric tunnel junction is two electrodes separated by a ferroelectric barrier a few unit cells thick. Reversing the polarisation reverses the charge at the two interfaces. This changes the shape of the barrier and with it the tunnelling current. On nanometre-thick BaTiO₃ films, resistance changes by about two orders of magnitude on reversal, on a lateral scale of 20 nm, at room temperature. Asymmetric interfaces are a known requirement for the effect.
These junctions are studied as memories. No published work was found in which a ferroelectric tunnel junction is placed beside a Casimir cavity and measured at zero bias.
Replace the passive insulator of the cavity device with a ferroelectric barrier of the same thickness.
The polarisation of the barrier has three states. P⁺ points towards the cavity. P⁻ points away. P⁰ has no net polarisation; it can be reached by heating the barrier above its Curie point, or by a twin junction from the same growth run with a paraelectric SrTiO₃ barrier of equal thickness.
In the terms of the net, the polar barrier is the open wall, and its trit sets how the wall returns what the mesh closes. The three states change the asymmetry of one junction without touching its geometry.
Published comparisons are between different devices, where fabrication spread dominates. This design compares one junction with itself.
| Observation | Cavity-driven passage | Artefact |
|---|---|---|
| Mirror absent, any P | zero current in all three states | current present |
| Mirror present, P⁺ vs P⁻ | currents differ; difference tracks barrier asymmetry | no systematic difference |
| Mirror present, P⁰ | current of the passive device | — |
| Current over hours at constant temperature | constant | pyroelectric current needs a temperature change; it vanishes |
| After a polarisation switch | steady value after the switch | depolarisation current decays |
| In darkness | unchanged | ferroelectric photovoltaic effect |
| Current against time at fixed bias; frequency dependence | flat | ionic motion of vacancies shows slow drift and low-frequency response |
| Exposure to hydrogen | unchanged | hydrogen uptake in the electrode |
The prediction is fixed before the run. With the mirror present, I_sc(P⁺) ≠ I_sc(P⁻). Without the mirror, both are zero. The theory gives no value for the size of the difference. That size is the open number: the fraction of what the mesh closes that leaves as current.
Oxide films grow layer by layer with unit-cell control by pulsed laser deposition, monitored by electron diffraction during growth. In SrTiO₃, one cell measures 0.3905 nm.
| Size | Unit cells of SrTiO₃ |
|---|---|
| 33 nm (Moddel’s thinnest cavity) | 84.5 |
| 45.6 nm (the natural unit) | 116.8 |
| 60–75 nm (a resting gap) | 153.6–192.1 |
An epitaxial spacer adjusts the mesh in steps of 0.39 nm — about 1% of the natural unit. The region around 45.6 nm can therefore be traced cell by cell.
A spacer of high refractive index also separates two readings of the gap. PMMA (n = 1.52) and SiO₂ (n = 1.49), the two spacers Moddel used, differ by only 2%. If the current follows the geometric gap, as the net’s 1/S says, then spacers of very different index at equal thickness should give equal current. If it follows the optical cutoff, which scales with n·L, they should not. A spacer of high index must be transparent across the relevant band; that choice is part of the design.
The Dutch groups mapped earlier (Konstapel, 2026d) cover Casimir switching, tunnable cavities, critical fluctuations and membranes. One group is missing from that map: the University of Twente group that grows perovskite oxides with unit-cell control by pulsed laser deposition. In 2025, that group completed a doctoral thesis on ferroelectric gradient films and published a study of barium titanate gradient films. A gradient film has two unlike sides by definition. Together with Groningen, the same group reported room-temperature epitaxy of the halide perovskite α-CH₃NH₃PbI₃.
The two capabilities missing on the open side — mesh size by the cell and a built-in, switchable asymmetry — sit in one laboratory.
Halide perovskites conduct ions as well as electrons. First-principles barriers in CH₃NH₃PbI₃ (Eames et al., 2015) are 0.58 eV for iodide vacancies, 0.84 eV for methylammonium and 2.31 eV for lead. The iodide value agrees with kinetics measured on a working cell.
The order matches the trit cube. X stands on cells that are all open (6 of 6). A stands on corners of which 6 of 8 are open. B stands on the closed centre. With three items, a random order matches with a probability of 1 in 6. This is a correspondence, not a proof.
At 300 K, kT = 0.02585 eV:
Slow ionic currents and hysteresis can imitate a steady signal. A halide perovskite as the cavity filling or barrier would bury the effect sought. Oxides carry vacancies on their X sites too. This is why the ionic test belongs in the table of Section 12.3.
If the open side yields a number, the arithmetic is short. At 70 W/m² for one layer at 33 nm, a household using 3,000 kWh of electricity a year draws an average of 3,000 / 8,766 h = 0.342 kW. That needs 342 / 70 = 4.9 m² of one layer, or 0.049 m² of a hundred layers if layers add.
Each of those conditions is open: that the current is real, that layers add, and that the coupling survives in other materials. A structure that passes continuously, in any place, would sit in the house rather than at the end of a grid. Whether that happens depends on one fraction, measurable in one junction with three states.
Counted here
Measured, from sources
Read
Negative
Open
*Konstapel, J. (2026a). From Quaternions to Vacuum.Net: Mapping Four Theories onto Cl(3). Constable Research, Leiden, 2 October 2026.*
https://constable.blog/2026/10/02/russell-larson-clerk-maxwell-and-the-vacuum-net-theory-on-the-clifford-algebra-of-apace/
Why read? The trit cube, its 27 cells by grade, and the nine closed cells as disc and axis. Sections 2 and 3 of this essay rest on it. Reading advice: Sections 4 and 5.
Konstapel, J. (2026b). Applied Vacuum Theory, Part Four: Energy as Passage, third edition. Constable Research, Leiden, 27 September 2026.
https://constable.blog/wp-content/uploads/def2Applied-Vacuum-Theory-Part-Four-Energy-as-Passage-The-Step-from-Mesh-to-Output-1.pdf
Why read? The rule from mesh to output and its test against Moddel’s curve. Section 11 corrects one step of it. Reading advice: the section on the test, beside Section 11 above.
Konstapel, J. (2026c). The Vacuum.Net Theory. Constable Research, Leiden, 28 September 2026.
https://constable.blog/wp-content/uploads/vdefThe-Vacuum.Net-Theory.pdf
Why read? The five axioms, the natural units and the two roads: the mesh that passes and the knot that opens.
Konstapel, J. (2026d). The Dutch Vacuum Landscape. Constable Research, Leiden, 6 October 2026.
https://constable.blog/wp-content/uploads/The-Dutch-Vacuum-Landscape-Where-the-Net-Theory-Meets-the-Groups-That-Measure-and-Switch-the-Vacuum-in-the-Netherlands.pdf
Why read? The Dutch groups that work on the quantities the mesh needs. Section 12.5 adds one.
Larson, D. B. (1959). The Structure of the Physical Universe. Portland: North Pacific Publishers.
Why read? The ladder of space and time on which power is 1/S. Reading advice: the chapters on the natural units only.
Moddel, G., Weerakkody, A., Doroski, D., and Bartusiak, D. (2021). “Optical-Cavity-Induced Current.” Symmetry 13, 517.
https://www.mdpi.com/2073-8994/13/3/517
Why read? The only measured device of its kind, with its stack, eight artefact tests and its own caution about mechanism. Reading advice: Table 1 for every layer; Figure 4a, not only 4b, for the power slope; Section 3.2 for the tests.
Maclay, G. J. (2024). “Modeling Electronic Devices with a Casimir Cavity.” Physics 6, 1124–1131.
Why read? The one theoretical analysis of the device. It rejects the proposed mechanism and leaves the data standing. It shows why the open side still lacks a model.
“Electric Field and Voltage Fluctuations in the Casimir Effect” (2021). arXiv:2112.14285.
https://arxiv.org/abs/2112.14285
Why read? An estimate of whether cavity-modified fluctuations are large enough to matter for the junction current.
Manifund (2026). “First independent test of the Casimir cavity vacuum energy claim.”
https://manifund.org/projects/first-independent-test-of-the-casimir-cavity-vacuum-energy-claim
Why read? The state of replication in 2026 and the hydrogen pathway in palladium electrodes. Its same-junction protocol is the mechanical cousin of Section 12.
Casimir, H. B. G. (1948). “On the attraction between two perfectly conducting plates.” Proceedings KNAW 51, 793.
Why read? The two-wall opening in its original form. Three pages.
Goldschmidt, V. M. (1926). “Die Gesetze der Krystallochemie.” Die Naturwissenschaften 14, 477–485.
Why read? The origin of the tolerance factor: the fit of an occupant to its opening.
Shannon, R. D. (1976). “Revised effective ionic radii.” Acta Crystallographica A 32, 751–767.
Why read? The radii used in Section 5. The tolerance factor shifts by about ±0.03 between radius sets; this table fixes one set.
Glazer, A. M. (1972). “The classification of tilted octahedra in perovskites.” Acta Crystallographica B 28, 3384–3392.
Why read? The trit alphabet of rotations — a⁺, a⁻ and a⁰ — and the 23 tilt systems.
Howard, C. J., and Stokes, H. T. (1998). “Group-theoretical analysis of octahedral tilting in perovskites.” Acta Crystallographica B 54, 782–789.
Why read? The reduction to 15 space groups and their hierarchy. Section 8 tests the closure rule against this list.
“Atomistic Description for Temperature-Driven Phase Transitions in BaTiO₃” (2016), arXiv:1601.02031; and “Thermodynamics and dielectric response of BaTiO₃ by data-driven modeling” (2021), arXiv:2111.05129.
https://arxiv.org/abs/1601.02031 · https://arxiv.org/abs/2111.05129
Why read? The 6, 12 and 8 equivalent minima of the polar phases, and the local displacement towards a corner in every phase. Section 6 rests on these counts.
Zhuravlev, M. Y., Sabirianov, R. F., Jaswal, S. S., and Tsymbal, E. Y. (2005). “Giant electroresistance in ferroelectric tunnel junctions.” Physical Review Letters 94, 246802.
Why read? The prediction that polarisation reversal changes tunnelling through a ferroelectric barrier.
Velev, J. P., et al. (2007). “Effect of ferroelectricity on electron transport in Pt/BaTiO₃/Pt tunnel junctions.” Physical Review Letters 98, 137201.
Why read? The first-principles mechanism in the material proposed here.
Gruverman, A., et al. (2009). “Tunneling electroresistance effect in ferroelectric tunnel junctions at the nanoscale.” Nano Letters 9, 3539–3543.
Why read? The measured change of about two orders of magnitude on 20 nm, at room temperature, in thin BaTiO₃.
Koster, G., Rijnders, G., Blank, D. H. A., et al. University of Twente, publications on pulsed laser deposition of perovskite oxides.
https://people.utwente.nl/g.koster
Why read? Unit-cell growth control, ferroelectric gradient films and room-temperature halide perovskite epitaxy: the capabilities Section 12 needs.
Eames, C., Frost, J. M., Barnes, P. R. F., O’Regan, B. C., Walsh, A., and Islam, M. S. (2015). “Ionic transport in hybrid lead iodide perovskite solar cells.” Nature Communications 6, 7497.
Why read? The barriers of 0.58, 0.84 and 2.31 eV. Section 13 rests on them.
Hoke, E. T., et al. (2015). “Reversible photo-induced trap formation in mixed-halide hybrid perovskites for photovoltaics.” Chemical Science 6, 613–617.
Why read? Light sorts the open X sites into iodide-rich and bromide-rich domains, which reverse in the dark. It shows how mobile the open sites are under tension.