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J.Konstapel,Leiden,4-11-2026.

© 2026 J. Konstapel, Constable Research, Leiden. All rights reserved. Quotation with attribution is
permitted; reproduction of the whole, or of substantial parts, requires the written permission of the
author.

1. Introduction

What is a sense? The usual answer lists five or six organs: eyes, ears, skin, nose, tongue. The document examined in this essay gives a different answer. A sense is any structure that closes with whatever arrives in its own window, at its own position on a universal scale of sizes and times — a “ladder” of scales. This definition comes from a single formal theory, the Vacuum.Net Theory. It does not start from anatomy. It starts from one act: drawing a distinction.

The essay that follows explains the theory in plain terms. It then shows how the theory fixes a physical scale using only hydrogen. From that scale, human senses fall out at specific positions — including a large band where no sense has a name, but where measured responses already exist. Finally, it covers the practical side: how vibration might retune a drifting sense, what vibration can never do, and what tests would confirm or refute the whole picture.

2. One strand, three values

The theory begins with a simple idea, borrowed from Spencer-Brown’s Laws of Form. A distinction splits a space into inside and outside. The Vacuum.Net Theory restates this as movement. There is exactly one strand. A distinction is the strand returning to a place it has already been. A place visited at least twice is a node. Everything that exists — a particle, a cell, a person — is a pattern of returns of this one strand.

Each return carries one of three values: −1, 0, or +1. These are the digits of balanced ternary. They sum to zero, and the document calls this zero-sum triple the “trinity”, the ground beneath the axioms. The three values are not decoration. They give the theory its arithmetic. Addition keeps a residue at its own scale and passes the rest, whole, to the next scale.

Not every pattern survives. The core selection rule is this: only what closes in a window of three consecutive values persists. Of the 27 possible windows, exactly 9 close. What does not close does not vanish into nothing. It stays as tension, or it passes upward to the next scale. There is no external judge. Closure itself is the selection rule.

Three elementary closures follow. A “meeting” closes quietly and passes nothing on. A “ring” of three equal values closes and becomes one step of the scale above. An open window keeps a residue as tension. These few rules are, in the author’s words, the arithmetic of everything that follows.

3. Two ladders and the comma

One rule links the scales. Merging meetings doubles a structure. Merging rings triples it. So two ladders run through the theory: a ×2 ladder and a ×3 ladder. They never meet exactly, because no power of two equals a power of three. But they come close. Their best near-meetings occur at the “closure depths” 1, 2, 5, 12, 41, 53, 306, and so on. These numbers are the denominators of the convergents of log₂3 — the same mathematics that underlies musical tuning.

At closure depths, closure is strongest and the leftover “remainder” is smallest. The depth-12 remainder is the Pythagorean comma, familiar from music: 3¹²/2¹⁹, about 23.46 cents. At depth 53 the remainder is 0.21 percent. It never disappears. This stubborn remainder will return later, at the scale of a human life.

4. The hydrogen ladder

So far the theory is dimensionless — pure arithmetic. The next step makes it measurable. The author fixes one length and one time using only hydrogen and CODATA 2018 constants. The result is a length unit of about 4.56 × 10⁻⁸ m and a time unit of about 1.52 × 10⁻¹⁶ s. Every ring of the ladder is then a power of three times these units. The depth of any measured quantity follows directly: depth = log₃(measure / unit).

Nothing about the human being is used to set the scale. Yet human quantities land on the ladder with striking precision:

Object or rhythm	Measure	Depth on the ladder
Cell	~10 μm	4.9 — next to closure depth 5
Human body	~1.7 m	15.9 (ring 16 = 1.96 m)
Heartbeat	~1 s	33.2
Rest cycle	~90 min	41, a closure depth
Human life	~80 years	52.9 — next to closure depth 53 (93.4 years)

The human, on this reading, occupies one ring in space and about twenty rings in time. A life is a near-closure: the two ladders miss by 0.21 percent at depth 53, and that remainder never vanishes. The next closure depth, 306, lies far beyond the age of the universe. The human is the last near-closure before the ladder runs empty.

5. Life as a closure that lays itself again

The theory also yields a picture of life. A thing is not its material. It is a pattern of contacts that keeps returning. Nearly every molecule of the body is exchanged within a few years; the person remains. A theory that starts from matter finds this a puzzle. Here it is the definition.

Life, in this reading, is a closure that lays itself again as long as something flows through it. Three consequences follow. First, holding together is itself work: when throughflow stops, nothing is laid again and the pattern drains. Second, life sits between two ways of not existing — too little flow, and complete closing, where every boundary is taken inward and nothing flows. That second state looks like perfect stability. It is death. A living whole keeps part of its boundary open. Third, knots of knots lose openness and gain duration. The human is described as the deepest knot whose own repair still goes round.

6. Perceiving is closure, not image-making

The standard account of perception has three stages: a stimulus arrives, an organ forms a representation, the brain builds a picture. The Vacuum.Net Theory has no stage at which a picture is made.

Perceiving, here, is a seam that closes. A wave arrives. Where the pattern of the wave has the same window as the receiving structure, the seam closes. That closure is the perception. Outside and inside are, for that moment, one closure. What does not fit is simply not perceived. Perception is not a camera. It is the set of closures a given window can make.

This account explains several known facts without extra assumptions. Two people see different things in the same scene because their windows differ. Blind people who learn echolocation come to orient by sound because the same reading layer in the brain closes, reached through another depth. And a closure can occur on a layer that conscious feeling does not register — which sets up the measured case discussed below.

A sense can now be defined precisely. A sense is a structure that closes with whatever arrives in its own window, at its own depth on the ladder. Every ring of the ladder is a possible window. That has a striking implication: the human may close on rings for which no organ has ever been named.

7. The map of the senses

Placing the named senses on the ladder gives a clear map.

Window	Measured range	Position on the ladder
Vision	400–700 nm	rings 2 to 2.5
Body warmth (thermal infrared)	peak ~9.35 μm at 37 °C	ring 5, a closure depth
Hearing	20 Hz – 20 kHz	rings 24 to 30
Heartbeat, breath	~1 s; 2.5–7.6 s	rings 33 to 35
Rest cycle	~90 min	ring 41, a closure depth

Two placements deserve attention. The violet edge of vision (410 nm) falls exactly on ring 2, a closure depth. The red edge falls on ring 2.5. Vision is half a ring that starts on a closure depth. The author is careful to call this a correspondence, not a proof — the edges of vision vary between people.

Between warmth (ring 5) and hearing (ring 24) lies a band of eighteen rings with no named sense. Yet three measured human responses already fall inside or at the edge of this “empty” band:

1. Microwave hearing. Pulsed microwaves are heard as clicks or buzz. The published range, roughly 200 MHz to 3 GHz, spans depths 13.3 to 15.8, covering rings 14 and 15 (Frey 1962; Foster and Finch 1974; Lin 1978). The literature explains this by a thermoelastic mechanism — each pulse heats tissue slightly and the pressure wave reaches the cochlea. The theory does not reject that explanation. It treats it as a route: the closure arrives at ring 14–15 and is passed up to the hearing layer.
2. Whole-body resonance. Peak radio-frequency absorption occurs when body length is about 0.4 of a wavelength — around 70 MHz, depths 16.7 to 17.3, near ring 17. This is absorption, not perception. Whether it produces any experience remains open.
3. Magnetoreception. A Caltech study with 36 adults found that rotations of an Earth-strength magnetic field produced a drop in alpha-band brain power — about three times larger for counterclockwise rotations — while participants could not tell whether the field had changed (Wang et al. 2019). The response lies at ring 31, whose frequency, 10.65 Hz, is the centre of the alpha band. In the theory this is a closure on a layer that feeling does not register.

The central prediction follows from the map. At closure depth 12 — 12.4 GHz, 2.42 cm — closure is strongest. If an unnamed sense exists anywhere in the empty band, the ladder places it most probably there. No one has tested this. The author calls it the central untested prediction of the document.

8. Acting on a structure: the rules

The theory also derives rules for how a wave can act on a living structure. Six rules follow directly from the axioms:

• Read the state first. The response of a medium depends on its state, not on universal constants. The same signal meets a different response in a different state.
• Offer the layer’s own window. Only equal windows close. A tone that is right for one layer is wrong for another.
• Offer a nested triad: f, f/3, f/9. A window of three at one ring is one step of the ring above.
• Choose local or carried. A rotating three-phase signal closes in place. Three equal pulses form a ring and pass the closure one layer up.
• Offer the whole window at once. The author recomputed the dynamics exhaustively: under the neighbour-rewrite rule, 98.8 to 100 percent of open rings of length 5 to 10 keep cycling and never settle. Single stimuli left to the tissue almost never succeed.
• Leave silence after each offering. Drift is repaired only where nothing flows.

Read this way, a century of contested Russian “field medicine” becomes legible. Gurwitsch’s onion-root experiments — a 65.60 percent mitosis rate on the exposed side against 47.50 percent on the far side, transmitted through quartz but not glass — become a neighbour setting the next passage of a cell. Kaznacheev’s optically coupled cultures, showing matching damage in 72 percent of 170 trials, become influence by copying the window of a same-species sender. The notorious irreproducibility of these results is not noise. It is what the theory predicts when the receiver’s state is not read first.

9. Restoring a sense — and its limits

A sense, here, is a stack of closures from organ to reading layer. It fails when one layer no longer closes. Two cases must be kept apart. Drift means the structure is intact but out of tune with its own ring; drift stays within its class and can be retuned. A jump of class means the structure is gone — dead cells, a cut nerve. A continuous rewrite cannot restore a cut strand. This cannot be retuned.

Vision is worked out as the example. The eye’s window opens at ring 2 (410 nm) and the stack runs through rings 3 and 4 up to ring 5, the warmth of the body. The derived offering for a drifting retina is concrete: a rotating three-phase signal at 410, 1231 and 3693 nm, closed with warmth at 11.08 μm, followed by silence, in sessions of 92 minutes — the rest-cycle closure depth. Two elements are new. The offering is a stack of three wavelengths, each three times the previous, ending in body warmth. And a single stimulus is not enough; the complete window must be offered at once.

The theory is equally clear about limits. Four things vibration cannot do:

1. Nothing settles by itself. Stimulation that leaves the tissue to find its own closure will seldom succeed.
2. What has jumped class does not return through vibration. Lost structure needs a new strand.
3. Without throughflow, nothing is laid again. Vibration supplies the window, not the material and not the energy.
4. The remainder of life stays. At depth 53, 0.21 percent always remains open. It can be tempered and spread over the cycles, like a comma in musical tuning, but not removed.

The clinical record already supports part of this logic. Reduced eye pressure slows glaucoma progression — a throughflow effect, not a vibration effect. And sensory substitution works: echolocation training, tongue-based rendering devices, and daily training of a blind field all show that the reading layer can be reached through another depth.

10. The research programme

The document is disciplined about its own status. It distinguishes proofs, computations, correspondences, readings and predictions. Six pre-registered tests would decide its claims:

Test	Prediction	Refuted if
A sense at ring 12	Human response to 12.4 GHz exceeds response at rings 11 and 13 at equal absorbed power	No difference between rings 11, 12 and 13
Microwave hearing on rings	Detection thresholds lowest at 1.37 GHz and 458 MHz	Thresholds follow absorption only
Magnetoreception at ring 31	Alpha response larger when rotation is modulated at 10.65 Hz or the triad 10.65/3.55/1.18 Hz	No difference from unmodulated rotation
Nested triad vs single tone	Triad at the person’s own ring locks body rhythms more often	No difference between arms
State first	Gurwitsch/Kaznacheev paradigms become reproducible when receiver state is fixed	Variance does not fall
The eye stack	Triad 410/1231/3693 nm closed with 11.08 μm preserves retinal tissue longer than 410 nm alone	No difference

A single positive, independently replicated result at ring 12 would be the strongest possible evidence, because that prediction comes from the ladder alone and has never been examined. The agreements already found — vision edges, the alpha centre, the microwave-hearing band — were found after the fact and can support, but not prove. The document states plainly that nothing in it is medical advice.

11. Conclusion

The Senses on the Ladder offers a compact and falsifiable picture. One strand, three values, a window of three, two ladders that almost meet. From that sparse ground, fixed by hydrogen alone, the human body, its senses and its life span land on the ladder at computable depths. Several land next to closure depths, where closure is strongest.

The map makes a bold claim: the senses are not a fixed set of organs. They are positions on a universal scale, and humans likely close on rings that have no name. It makes an honest claim too: most of the interesting content is a correspondence or a prediction, not a proof. And it makes a humane one. A sense is an instrument in an orchestra of rhythms. It can drift out of tune without notice. Retuning is possible, under strict conditions — read the state, offer the right window, offer it whole, then leave silence. But no vibration rebuilds a broken instrument, and no life closes perfectly. A remainder of 0.21 percent always stays open. In this theory, that small opening is not a flaw. It is the signature of being alive.

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Annotated references

Each entry states what the source contributes and why it matters to the argument.

The theory

• Konstapel, J. (2026a). The Vacuum.Net Theory: Foundations, version 9.2. Constable Research, Leiden. The ground, the axioms N1–N5 and theorems T1–T24, each with proof. Annotation: the formal basis of every claim in Parts I–VIII; checkable with pencil, paper and a short program.
• Konstapel, J. (2026b). The Vacuum.Net Theory: Physics, version 9.0. Constable Research, Leiden. The hydrogen units S₀ and T₀, the nilpotent Dirac operator, loss with an address. Annotation: shows the units of the ladder are fixed by hydrogen, not chosen to fit the human.
• Konstapel, J. (2026c). MAZE: The Topology of Life: De Mens als Knoop. Constable Research, Leiden, 17 August 2026. Life as a closure that lays itself again; the human as the deepest knot whose repair still goes round. Annotation: the source of the essay’s account of life, depth and identity.
• Konstapel, J. (2026d). Blindheid ontrafeld: van lichtverlies tot het herstel van zien. Constable Research, Leiden, 14 October 2026. The five layers of vision and the clinical and sensory-substitution figures. Annotation: the layered map on which the restoration design of Section 9 is built.
• Konstapel, J. and Trommelen, R. (2025). Russian Field Medicine: Electromagnetic Approaches to Healthcare. Constable Research, Leiden, 29 July 2025. A review of Gurwitsch, Kaznacheev, SCENAR and space medicine. Annotation: the historical record read through the rules in Section 8; note that its own QX-G claims rest on one small trial without published statistics.
• Spencer-Brown, G. (1969). Laws of Form. Allen & Unwin. The mark of distinction, the laws of calling and crossing, re-entry. Annotation: the intellectual ground of the first distinction; short and exact.
• Kauffman, L.H. (2005). “EigenForm”. Kybernetes 34(1/2), 129–150. The eigenform O(A) = A. Annotation: the formal side of persistence — why only what reproduces itself endures.
• Rowlands, P. (2007). Zero to Infinity: The Foundations of Physics. World Scientific. The nilpotent Dirac operator. Annotation: the bridge from closure to physics.
• Williamson, J.G. and 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. Annotation: matter as a closed winding of light.

Number and music

• Khinchin, A.Ya. (1964). Continued Fractions. University of Chicago Press, ch. II §6. Annotation: the proof that best approximations are the convergents — hence the closure depths 1, 2, 5, 12, 41, 53, 306.
• OEIS A005664. Denominators of the convergents to log₂3. Annotation: an independent listing of the closure depths.
• Hardy, G.H. and Wright, E.M. (2008). An Introduction to the Theory of Numbers, 6th ed. Oxford University Press. Annotation: Kronecker’s theorem — why the ×2 and ×3 ladders never meet exactly.
• Knuth, D. (1997). The Art of Computer Programming, Vol. 2, 195–213. Balanced-ternary arithmetic. Annotation: the notation of the strand, including why truncation equals rounding.
• Manchon, D. Maths & Music #2: Mathematics of keyboard tuning. CNRS Insmi. Annotation: the musical precedent for tempering a remainder that cannot vanish.
• Tiesinga, E. et al. (2021). “CODATA recommended values of the fundamental physical constants: 2018”. Reviews of Modern Physics 93, 025010. Annotation: the measured inputs of the hydrogen units.

Measured windows

• Wang, C.X. et al. (2019). “Transduction of the geomagnetic field as evidenced from alpha-band activity in the human brain”. eNeuro 6(2). 36 adults; rotations of a ~35 μT field produced alpha desynchronization, ~3× larger for counterclockwise rotations; participants were unaware of the change. Annotation: the measured human response without awareness, centred on ring 31.
• Frey, A.H. (1962). “Human auditory system response to modulated electromagnetic energy”. Journal of Applied Physiology 17(4), 689–692. Annotation: the discovery of microwave hearing — a response inside the “empty” band.
• Foster, K.R. and Finch, E.D. (1974). “Microwave hearing: evidence for thermoacoustic auditory stimulation by pulsed microwaves”. Science 185, 256–258. Annotation: the ordinary (thermoelastic) explanation that any ring-based test must control for.
• Lin, J.C. (1978). Microwave Auditory Effects and Applications. Charles C. Thomas. Annotation: the standard reference; the frequency range of ~200 MHz to 3 GHz spans depths 13.3–15.8.
• IFAC-CNR. Radiofrequency Radiation Dosimetry Handbook, chapter 11. Whole-body resonance of an adult at ~70 MHz free and ~35 MHz grounded. Annotation: the body as an electromagnetic window near its own scale, depths 16.7–17.3.
• Wikipedia, “Sleep cycle”. A cycle of ~90 minutes (70–110), continuing through the day as Kleitman’s basic rest-activity cycle. Annotation: the rhythm at closure depth 41.

The light of cells and non-chemical interaction

• Volodyaev, I. and Beloussov, L.V. (2015). “Revisiting the mitogenetic effect of ultra-weak photon emission”. Frontiers in Physiology 6, 241. Gurwitsch’s onion-root experiment, the quartz/glass controls, and the history of reproducibility. Annotation: the most careful modern review; calls the effect real and hard to reproduce.
• Scholkmann, F., Fels, D. and Cifra, M. (2013). “Non-chemical and non-contact cell-to-cell communication: a short review”. American Journal of Translational Research 5(6), 586–593. Kaznacheev’s mirror cytopathic effect (72% of 170 trials) and the 2-of-7 replication by Wainwright et al. Annotation: the second source for Section 8, with a frank account of weak statistics.
• Volodyaev, I., van Wijk, E., Cifra, M. and Vladimirov, Y.A. (eds.) (2023). Ultra-Weak Photon Emission from Biological Systems. Springer. Annotation: the standard work on the light of cells, including open controversies.
• Kaznacheev, V.P. and Mikhailova, L.P. (1981). Ultraweak Radiation in Intercellular Interactions. Nauka, Novosibirsk. Annotation: the primary summary of the Novosibirsk experiments.

Vibration devices

• “The effects of vibroacoustically-induced microvibrations on arterial blood pressure and oxidative stress in rats” (2014). Serbian Journal of Experimental and Clinical Research. Vitafon settings; six rats per group; one significant systolic change and one changed marker of four. Annotation: the device settings placed on the ladder in Section 8; a weak evidence base.
• Scoping review of vibroacoustic therapy for pain (2022). BMJ Open 12(4), e046591. 40 Hz most used; evidence weak and mixed. Annotation: the state of the evidence that the proposed three-arm test is designed to improve on.

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Source: J. Konstapel, “The Senses on the Ladder: The Vacuum.Net Theory and the investigation and restoration of human perception”, Constable Research, Leiden, 4 November 2026. This essay summarises that document for informational purposes and is not medical advice.

Article DOI: 10.13140/RG.2.2.32195.36647 : The Senses on the Ladder.