From Particle to Cosmos

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J.Konstapel,Leiden,16-10-2026

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From Particle to Cosmos: The Measured World from Below the Atom to the Edge of the Universe

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).

1. A book of measured cases

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.

2. Below the nucleus: precision as the working method

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.

3. The Earth: a planet read through its clocks

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.

4. The sky: from one second to 13.787 billion years

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.

5. The ladder, and what the reading adds

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.

6. Conclusion

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.

Annotated References

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.

Standards and primary data compilations

  • [1] NIST (2024), CODATA 2022 adjustment, “Fundamental Physical Constants — Complete Listing.” The recommended values of all fundamental constants, the source of nearly every constant quoted in Part I (electron mass, α, Rydberg constant, proton radius). The book’s backbone for numbers.
  • [2] Mohr, Newell, Taylor & Tiesinga (2025), “CODATA recommended values…: 2022,” Rev. Mod. Phys. 97:025002. The peer-reviewed account of the same adjustment, used for the internal CODATA analysis (e.g. the proton-radius tension between electronic and muonic data).
  • [7][8][13][59][69][113] Particle Data Group (2024/2025), Review of Particle Physics. The standard reference for particle masses, widths, lifetimes and bounds. The book notes explicitly that PDG 2024 tables still carry CODATA 2018 values, and tracks the differences — a detail many summaries miss.
  • [25] PDG (2024), Astrophysical constants and parameters. Age of the universe (13.797 ± 0.023 Gyr), CMB temperature and photon density, baryon-to-photon ratio; the anchor of Part III’s numbers.

Discovery and precision-measurement papers (physics)

  • [38] Fan, Myers, Sukra & Gabrielse (2023), measurement of electron g/2 to 0.13 parts per trillion. The most precise property of any elementary particle; one electron in a Penning trap.
  • [51] Pohl et al. (2010) and [52] Antognini et al. (2013), muonic hydrogen spectroscopy. The measurements that opened the proton-radius puzzle (0.84184(67) fm, 5σ from the then-accepted value).
  • [110] Cowan, Reines et al. (1956), “Detection of the Free Neutrino: a Confirmation,” Science 124:103. The first detection, three events per hour against a 5 × 10¹³ cm⁻² s⁻¹ flux.
  • [116] Super-Kamiokande (1998), “Evidence for oscillation of atmospheric neutrinos,” PRL 81:1562; [117][118] SNO (2001–2002). The discovery that neutrinos change kind, and the measurement that closed the solar-neutrino problem while the total flux held.
  • [119] Daya Bay (2012), sin²2θ₁₃ = 0.092, 5.2σ. The third mixing angle, from 55 days of reactor data.
  • [121] Esteban et al. (2024), NuFIT 6.0 global fit, JHEP 12:216; [122] KATRIN (2025), direct neutrino-mass limit m < 0.45 eV. The current state of the oscillation parameters and of the direct mass bound.
  • [156] Christenson, Cronin, Fitch & Turlay (1964), “Evidence for the 2π Decay of the K₂⁰ Meson,” PRL 13:138. The discovery of CP violation.
  • [169][170] ATLAS and CMS (2012), observation of the Higgs boson. The two simultaneous discovery papers; the book dates the “kind opened” here and follows its filling (8–9 million events per experiment by 2018).
  • [162] CDF (2022), m_W = 80,433 ± 9 MeV. The W-mass measurement that stood 7σ from the Standard Model prediction as quoted; the book sets it honestly beside the 2024 ATLAS and CMS values that sit near the prediction.
  • [180] Andreassen, Frost & Schwartz (2018), “Scale Invariant Instantons and the Complete Lifetime of the Standard Model.” The computed vacuum lifetime (~10¹³⁹ years central, >10⁵⁸ years at 95 %), the longest time in the book.
  • [196] BASE (2022), antiproton-to-proton charge-mass ratio to 16 parts per trillion. The sharpest test of the matter–antimatter mirror.
  • [216] Lange et al. (2021), atomic-clock limits on drift of constants (|α̇/α| < 1.0(1.1) × 10⁻¹⁸ per year); the stiffest measured case of the book’s “context” form.
  • [224] Lamb & Retherford (1947) and Bethe (1947), the Lamb shift (cited via a secondary source): the 1,057 MHz split that opened modern QED and returns in the book as a measurement of the vacuum.
  • [233] Wilson et al. (2011), “Observation of the Dynamical Casimir Effect,” Nature 479:376. The moving mirror that turned vacuum fluctuation into real photons.
  • [253] Gonzalez et al. (2021), UCNτ neutron lifetime; with the beam measurements, the source of the still-open 4.4σ beam–bottle gap.

Earth and planetary sciences

  • [265] Connelly et al. (2012), “The absolute chronology and thermal processing of solids in the solar protoplanetary disk,” Science 338:651. The 4,567.30 ± 0.16 Ma anchor date for the first solids, used for Earth, Moon, Sun and small bodies alike.
  • [272] Hazen & Morrison (2022), “On the paragenetic modes of minerals,” American Mineralogist 107:1262. The mineral-count framework (23 species before the Sun, 86 in the nebula, 5,659 today) behind the book’s “opened once, filled many times” reading of mineral evolution.
  • [916] Brown et al. (2002), “The flux of small near-Earth objects colliding with the Earth,” Nature 420:294. The impact-rate scale (5-kiloton strikes yearly, Chicxulub at 66.043 Ma).
  • [656] Our World in Data, Population (HYDE, Gapminder, UN WPP 2024). Source of the demographic figures in the chapter on the Earth now.

Cosmology and astronomy

  • [686] Riess et al. (2022), SH0ES, H₀ = 73.0 ± 1.0 km s⁻¹ Mpc⁻¹; set against Planck’s 67.4 — the Hubble tension, reported at its measured value of 1.084 in ratio.
  • [721] Schouws et al. (2025), [O III] detection in JADES-GS-z14-0 at z = 14.1793. Among the sources for the record early galaxies of chapter 26.
  • [758] Rozwadowska, Vissani & Cappellaro (2021), Milky Way core-collapse supernova rate (one per ~61 years — below the book’s closure depth 53 at 93.4 years).
  • [783] GRAVITY Collaboration (2022), Galactic-centre stellar orbits; with the EHT imaging results, the observational basis for the black-hole sections.
  • [1026] Lopez, Clowes & Williger (2022), “A Giant Arc on the sky,” MNRAS. One of the large-scale-structure anomalies the book lists without endorsement.

The author’s own framework texts (secondary within the book)

  • [26]–[33] Konstapel (2026), the Vacuum.Net papers (Complete Derivation; Foundational Paper 7th ed.; Clerk Maxwell and the Vacuum.Net; The Climate on the Ladder of Three; The Heat Beneath; The Balanced Three; How to Make Matter). These supply the interpretive forms used throughout — trits and windows, windings and knots, the ladder of three — and the reader should treat them exactly as the book treats them: readings beside the history, cited as such.
  • [27] within these, the electron-as-confined-photon reading follows Williamson & van der Mark (1997); a speculative model, flagged by the book as the net texts’ adoption rather than as established physics.

Secondary encyclopaedic sources

  • [3]–[6], [9]–[12], [17], [60], [67], [72], [84]–[85], [109], [134], [761], [793], [939] and ~200 similar entries: Wikipedia pages, read 15 October 2026. Used deliberately as secondary sources and marked as such in every citation; the historical narrative (Rømer to Bradley to Fizeau to Michelson; the quark timeline; the geoneutrino and supernova compilations) leans on them, with the primary papers cited alongside wherever a specific number is at stake. This is the book’s most unconventional practice, and the annotation policy — every Wikipedia entry labelled “secondary” — is at least transparent about it.