“Thus, the task is not so much to see what no one yet has seen, but to think what nobody yet has thought about that which everybody sees.”Arthur Schopenhauer, Parerga und Paralipomena (1851)

WSM CORE PAGE 10 · THE EMPIRICAL TRIBUNAL

EXPERIMENTAL PHYSICS

Reality Is the Judge

Famous experiments, honest observations, novel predictions and clean ways to kill the theory

Geoffrey Haselhurst · Human–AI scientific collaboration · revised 11 September 2026

An experiment does not arrive with its ontology attached. It makes something happen, records the consequence, constrains what we may believe—and gives every explanation a chance to fail.

STATUS OF THIS PAGE

A living experimental ledger—not a victory list

This cross-sector construction gathers the central experimental debts and candidate tests distributed across the WSM corpus. It deliberately separates measured fact from mathematical reduction, standard interpretation, WSM construction and unfinished prediction. Many entries are required recoveries, not evidence unique to WSM. A candidate effect becomes a scientific prediction only when its observable, sign, size, scaling, controls, uncertainty and exclusion threshold are frozen before comparison with the data.

One substance, one directional law, one finite matter recurrence

Physical foundation

WSM Postulates

Open the postulates, units and frequency conventions

The complete WSM Action and its stable matter solution remain open. Explicit action candidates and exact reduced controls are displayed below. The A/B/C/D/Q tiers distinguish established relations, fixed WSM structure, concrete mechanisms, open calculations and excluded shortcuts throughout the page.

Units. \(c_0=E_{d0}=\lambda_0=1\). Hence \(f_0=1\) and \(\omega_0=k_0=2\pi\). The constants \(\hbar,m_e,\alpha,G\) are outputs, not units.

P1. One Substance. Space is a nearly rigid, slightly elastic wave medium whose only primitive motions are longitudinal plane waves propagating in all directions.

P2. One Law. Directional wave speed is determined by directional wave-energy density. For every direction \(\hat{\mathbf n}\),

\[ \frac{c'(\mathbf x,\hat{\mathbf n},t)}{c_0} = \frac{E_d(\mathbf x,\hat{\mathbf n},t)}{E_{d0}}. \]

Thus, in normalized units,

\[ c'=E_d,\qquad \lambda'=\frac{c'}{f_{\rm crest}}, \qquad f_0=1\ \text{and universal}. \]

The universal intrinsic frequency \(f_0\) supplies the reference standard. Wavelength is the simultaneous crest spacing: speed and crest frequency in \(\lambda^{\prime}=c^{\prime}/f_{\rm crest}\) must use the same coordinates. Thus \(\lambda^{\prime}=c^{\prime}/f_0\) applies where \(f_{\rm crest}=f_0\). The intrinsic reference, fixed-position crest frequency and phase rate along a moving centre remain distinct readings.

P3. One Matter. Electron and positron are e-sphere wave centres formed from Huygens-combined longitudinal plane waves from all directions, with opposite background-relative radial phases. The e-sphere circumscribes a cube of side \(\lambda_0\):

\[ R=\frac{\sqrt3}{2}\lambda_0=\frac{\sqrt3}{2}. \]

Immediate deduction from P1. As the one substance, Space cannot be bounded, created or interrupted by another substance; it is therefore infinite, eternal and continuous.

P1–P3 are the fundamental postulates; additional working assumptions and approximations are stated where used. WSM Action must derive the complete spherical standing-wave and spherical phase-wave structure, their stability and all further physics.

WSM Wave Action: the mathematics already in hand

Open the Action equations and their present scope

An action turns a physical account into equations of motion. The WSM corpus already contains explicit action candidates, exact reduced dynamics and propagation controls. They establish concrete results and identify the coupling still needed for a stable, interacting e-sphere. The general variational form is

\[ S[\mathcal C]=\int dt\,d^3x\, \mathcal L(\mathcal C,\partial_t\mathcal C,\nabla\mathcal C,\ldots), \qquad \frac{\delta S}{\delta\mathcal C}=0. \]

Here \(\mathcal C\) collects the independent variables describing longitudinal motion of the same Space. This schematic expression states the mathematical task; the following equations are actual constructions developed in the corpus.

Four constructions, four roles. \(S_0\) is the directional cycle-energy candidate; \(S_{\rm ray}\) supplies exact reduced ray dynamics; \(S_{\rm sphere}\) describes longitudinal spherical motion; \(S_{\rm control}\) isolates propagation through a prescribed profile. Their derivation as mutually consistent limits of one autonomous action remains to be established. An incompatibility between candidate pieces would reject that combination; it would not by itself refute P1–P3.

Directional cycle-energy action

Let \(C_{\hat n}(\mathbf x,t)\) describe the real longitudinal compression component travelling in direction \(\hat n\), and \(D_{\hat n}=\hat n\cdot\nabla\). The candidate defines the positive intensity ratio

\[ I_{\hat n}[C]=\frac{Q_{\hat n}^{\,2}+P_{\hat n}^{\,2}} {Q_{\hat n0}^{\,2}+P_{\hat n0}^{\,2}} =\frac{E_d(\hat n)}{E_{d0}}, \]

where \(Q_{\hat n}\) and \(P_{\hat n}\) are cosine and sine projections of that compression over one reference cycle; the subscript 0 denotes the background. Its action is

\[ S_0[C]=\frac{\chi_0}{2} \int dt\,d^3x\,\frac{d\Omega}{4\pi} \left[ \frac{(\partial_t C_{\hat n})^2}{I_{\hat n}[C]} -c_0^2 I_{\hat n}[C](D_{\hat n}C_{\hat n})^2 \right]. \]

With intensity held fixed, the characteristic speed is exactly \(c'_{\hat n}=c_0 I_{\hat n}\), recovering P2 from the kinetic and spatial coefficients. The full variation must also include the dependence of \(I\) on the wave history and constrain all directions to one physical displacement. A causal treatment of that history remains part of the construction. \(\chi_0\) is a declared normalization coefficient.

Exact dynamics in a one-dimensional ray model

For a compression coordinate \(q(\sigma,t)\), normalized strain \(a=q_\sigma/\epsilon_*\), and canonical imbalance \(\eta\), the corpus gives

\[ S_{\rm ray}=\int dt\,d\sigma \left[p_*\eta\,\dot q-E_{d0}e^a\cosh\eta\right], \qquad p_*\epsilon_*=\frac{E_{d0}}{c_0}. \]

Variation yields two oppositely travelling characteristic families. Their positive energy responses and speed magnitudes satisfy \(E_\pm/E_{d0}=c_\pm/c_0=e^{a\pm\eta}\). Choosing \(\eta=\operatorname{artanh}\beta\), \(a=\tfrac12\ln(1-\beta^2)\), and \(\beta=v/c_0\) gives \(e^{a\pm\eta}=1\pm\beta\); removing the common geometric mean gives \(e^{\pm\eta}=\gamma(1\pm\beta)\), where \(\gamma=(1-\beta^2)^{-1/2}\). These are exact results within this ray model. Its uncoupled local transport does not generate the spherical core from a homogeneous background.

Longitudinal spherical action

Writing displacement as \(\mathbf u=\nabla\Psi\) gives a reduced action with positive coefficients \(\rho_\Psi\) and \(\kappa\):

\[ S_{\rm sphere}=\int dt\,d^3x \left[ \frac{\rho_\Psi}{2}|\nabla\dot\Psi|^2 -\frac{\kappa}{2}(\nabla^2\Psi)^2+f_\Psi\Psi \right]. \]

The unforced equation admits the regular spherical \(j_0\) compression mode and its quarter-cycle \(j_1\) radial motion. The source term \(f_\Psi\) currently stands for the incoming Huygens relation. Deriving that relation from the surrounding matter is the step needed to make the recurrence self-consistent.

An exact propagation control

For a prescribed positive, stationary profile \(\epsilon(x)\), the action displayed on the homepage is

\[ S_{\rm control}=\frac12\int dt\,dx\, \left[\epsilon^{-1}\phi_t^2-c_0^2\epsilon\phi_x^2\right]. \]

The coordinate \(y=\int dx/\epsilon(x)\) converts it to a uniform wave action. In this prescribed, stationary one-dimensional profile, a complete transmitted pulse is reflectionless and gives zero net impulse on the profile when the response is the same at both ends. Local force density need not vanish: its contributions cancel in the total impulse. A changed travel time alone therefore does not establish a net force. This control contains no receiving e-sphere and does not calculate its gravitational response. The prescribed profile is an input to this control.

The next calculation is specific. Join the directional response, longitudinal displacement and continuing Huygens waves through one independent state and one energy–momentum account. Then solve an open periodic e-sphere at P3’s fixed \(R/\lambda_0=\sqrt3/2\), with finite excess energy and a complete stability spectrum. The existing actions and exact controls supply mathematical starting points; a complete self-consistent WSM Action and its stable matter solution remain to be obtained.

Equations and their assumptions: WSM Action, §13: present mathematical pieces; §14: the open boundary problem; and homepage Action summary and propagation control.

Space vibrates; it does not flow. Waves arrive, converge, cross the centre and continue; nothing reflects from a particle wall.

Action discipline. One direction-resolved WSM Action must govern every apparatus on this page. The foundation is stated once; the claim labels carry status thereafter.

Essential WSM glossary

Open the essential WSM terms

From a metaphysics of Space and Time to a metaphysics of Space and Motion.

Newtonian mechanics describes matter particles moving in space and time, with mass and force entering its laws of motion. Its gravitational law gives attraction between separated bodies without specifying a local transmitting mechanism. WSM applies motion directly to Space: the wave motion of one continuous physical substance forms matter, and its ordered change supplies what clocks measure as time. Matter and time are understood through the activity of Space itself.

Newton himself objected to unmediated action at a distance: his letter to Richard Bentley distinguishes the law of attraction from its physical cause.

Term	Meaning in WSM
Vibrating Space	One infinite, eternal, continuous, nearly rigid, slightly elastic wave medium. This physical substance supports longitudinal compression plane waves whose organisation forms matter. Time measures its ordered wave change.
Background wave sea	The longitudinal compression plane waves travelling through Vibrating Space in all directions.
Directional wave-energy density \(E_d\)	Wave-energy density associated with a specified direction of propagation. \(E_{d0}\) denotes its background value.
Physical wave speed \(c'\)	The local propagation speed of a longitudinal plane wave in a specified direction. \(c_0\) denotes the background reference speed.
Spherical standing wave	Formed by the coherent Huygens combination of incoming longitudinal plane waves from all directions. The waves cross the centre and continue outward. The finite central core of high directional wave-energy density \(E_d\) is called the e-sphere. WSM identifies its two opposite radial phases relative to the vibrating background as the electron and positron: a matter–antimatter pair.
Huygens sphere	The finite all-direction wave relation through which surrounding matter supplies an e-sphere’s incoming waves.
Reconstruction / reclosure	Reconstruction is the repeated formation of an e-sphere by waves passing through it. Reclosure is the restoration of its complete phase relation.
Curve on a plane wave	The half-spherical displacement and phase profile imprinted on a passing plane wave as it crosses an e-sphere.
Curve train	A finite, ordered sequence of changed curves written onto passing background waves during a bound-state transition. This is WSM’s description of a photon.
Moving wave egg	The asymmetric wave organisation of a moving e-sphere, with an elongated front and flattened rear.
Spherical phase wave	The moving pattern of equal-phase positions formed by intersecting longitudinal waves across an e-sphere. Its two opposite directions of phase rotation are called its two “hands”.
Huygens ring	The circle of contributing longitudinal-wave directions perpendicular to a light train’s direction of propagation.
Phase-even residual delay	The component of wave delay unchanged by reversing the radial phase. This is the residual used in WSM’s gravity account.
WSM Action	The programme for expressing the dynamics of WSM’s single wave medium through an action whose variation gives the equations of motion.

Extended WSM reference: the complete glossary, definitions and research notes.

Claim-status key

Tier	Meaning
A	Established experiment, standard result or exact mathematics under explicitly stated premises.
B	Fixed WSM postulate or direct deduction from the real-wave ontology and established geometry.
C	Concrete physical construction whose decisive calculation or test is specified.
D	Required quantitative output of WSM Action.
Q	Rejected route or ontology error retained only in the failure ledger so it is not repeated.

The Grammar of an Experiment

Reality reaches the laboratory before philosophy does. Light enters a detector. A current changes. A clock accumulates phase. A spot appears on a screen. A mirror rotates. An atom exits through the top or bottom of a trap. These are physical events. Only afterwards do human beings turn them into a claim about photons, particles, fields, curved spacetime, expanding space—or one Vibrating Space.

1ApparatusWhat was built and controlled?

2Raw recordVoltages, counts, times, pixels, phases

3CalibrationHow does the instrument map onto a quantity?

4Reduction + uncertaintyCorrections, backgrounds, covariance, error budget

5ObservableShift, spectrum, correlation, cross-section

6ModelWhat dynamics predicts the observable?

7OntologyWhat does the model say exists?

The record, calibration, reduction and uncertainty model must be declared so rival accounts can reproduce the observable. The sixth step connects data to dynamics. The seventh is the most easily smuggled in. A detector click is not labelled travelling pellet. A spectral redshift is not labelled expanding space. A null fringe shift is not labelled no medium exists. Those words belong to an explanation, and an explanation must earn them.

FACT

Observation is not interpretation

State what the apparatus recorded before saying what caused it.

LOGIC

Fit is not deduction

A curve fitted after seeing the data is not a blind prediction of that curve.

CAUTION

Consistency is not unique evidence

If several theories predict the same result, success does not select one of them.

KILL

Failure must remain possible

A proposal that explains every outcome after it occurs explains nothing beforehand.

Experiment is where a beautiful idea agrees to be wounded by Reality.

The WSM causal sentence

WSM applies one physical chain beneath every sector:

directional wave-energy density E_d→local wave speed c′→travel time→phase→wavefront curvature→Huygens reclosure→changed motion or state

P2 The directional law is c′/c₀ = E_d/E_d0. D The one Action must carry this chain through a complete source, apparatus and receiver calculation, reproduce the readouts now predicted by quantum theory, relativity, QED, nuclear physics and cosmology, and then expose a clean result those frameworks do not predict.

Three Famous Corrections

Scientific shorthand becomes dangerous when an interpretation is repeated until it sounds like an observation. These three slogans should be retired.

“The double slit shows a particle going through one slit and interfering with itself.”

No experiment records that journey.

Observed: with stable relative phase across both open apertures, an extended interference distribution accumulates from individual local detector records. When an apparatus observes which slit the electron passes through, mutual coherence falls and the cross-term fades, while each aperture still diffracts. Quantitatively, fringe visibility V and path distinguishability D obey V² + D² ≤ 1.

Not observed: a tiny corpuscle following a continuous path from source through one slit while the untravelled slit somehow shapes it.

“Hubble discovered that the universe is expanding.”

Hubble measured a relation, not expanding space.

Observed: inferred distances to extra-galactic nebulae were correlated with compiled spectral redshifts, expressed then as radial velocities; much of the velocity record came from earlier spectroscopy by Vesto Slipher and others. Hubble’s 1929 paper was titled A Relation between Distance and Radial Velocity among Extra-Galactic Nebulae.

Interpretation: expansion follows only when the redshift–distance record is placed inside an expanding cosmological model. Lemaître had already derived such a model in 1927. The model may be right; the slogan still confuses evidence with explanation.

“Michelson and Morley proved that no ether or physical Space exists.”

They killed a predicted ether-wind signal.

Observed: their interferometer did not show the large orientation-dependent fringe displacement expected from a simple Galilean wind through an otherwise unchanged apparatus. The historical result was small, not metaphysically exact zero; modern resonators have driven related anisotropy bounds vastly lower.

Not proved: that no continuous medium can exist. A medium in which rods, clocks and light are all organisations of the same waves is a different physical hypothesis. It must derive the null—not borrow it.

What the plate shows: local marks accumulating under an extended interference law. The marks do not reveal a pellet’s path.

What the graph shows: a relation between observables. The universe’s dynamics are inferred by testing a model across many further observations.

What the interferometer excludes: the expected orientation signal of the tested wind model. Any new medium theory must calculate why.

Lorentz was closest to the physical repair—but not finished

The existing conditional calculation already recovers the exact Lorentz–de Broglie relation from phase matching of a stable opposed real-wave recurrence and preservation of its geometric-mean rest frequency; see the moving-wave baseline. Recovering the full clock–ruler–signal response from the moving e-sphere remains a separate calculation.

FitzGerald and Lorentz proposed that motion through the ether physically changes matter, allowing the interferometer to remain null. Lorentz developed the transformation that became central to relativity. Yet his ontology still placed independent charged particles inside a medium. WSM makes the more radical move: matter itself is the medium’s recurring wave organisation. If the same waves make light, rods and clocks, a real reciprocal deformation can be shared by all three.

B · real-wave geometry A resting e-sphere is directionally balanced. In a translating wave egg the leading sector is elongated: lower directional E_d gives lower c′ and shorter local wavelength. The rear sector is flattened: higher E_d gives higher c′ and longer wavelength. The raw directional reconstruction c′_lead = c₀ − v and c′_rear = c₀ + v must remain distinct from the reciprocal laboratory Fourier pair e^±s = γ(1 ± β). The Action must derive the map between them.

D One moving e-sphere solution must produce Lorentz covariance, Michelson–Morley and Kennedy–Thorndike nulls, time dilation, energy–momentum and the full clock–ruler–signal agreement. Its constitutive response must also exclude independent shear modes, drag, heating and Lorentz-violating anisotropy above the measured bounds.

III

Beyond Wave–Particle Duality

Nature does not owe us two incompatible little pictures. The experimental record can be stated more cleanly:

PropagationContinuous waves spread, superpose, diffract and interfere.

Stable matterBound organisations possess discrete recurrent states.

Completed exchangeA transformation finishes at a definite receiver, time and place.

For two coherent alternatives with complex amplitudes A₁ and A₂, the measured distribution follows

I = |A₁ + A₂|² = |A₁|² + |A₂|² + 2 Re(A₁A₂^*).

In literal real-wave language, if u₁ and u₂ arrive with amplitudes a₁, a₂ and phase difference Δφ, then

u = u₁ + u₂, I ∝ a₁² + a₂² + 2a₁a₂ cos(Δφ).

The complex amplitudes are efficient bookkeeping for these real quadratures and phase relations. If an apparatus observes which slit the electron passes through, mutual coherence is reduced and the cross-term fades. What remains is not a straight pellet distribution; each open aperture still has its wave diffraction envelope. Visibility and distinguishability obey V² + D² ≤ 1. That observed relation does not by itself decide whether the represented wave is probability amplitude, quantum field, pilot wave or real motion in Space.

A click is an event—not a photograph of a traveller

A detector click proves that a detector changed state locally. It does not prove that a tiny object carried an indivisible packet along a continuous hidden path. A continuously travelling corpuscle between preparation and detection is an interpretation; the stable properties of matter and the local completed record are empirical. The successful calculation between them uses amplitudes, Green functions, fields and propagators.

C · source–receiver reconstruction A transition changes an e-sphere and writes changing half-sphere curves onto successive longitudinal carrier planes. Those planes propagate through Space; they do not become pellets and do not turn around. A compatible receiver accumulates the arriving frequency, phase, direction, polarisation and curvature relations until its own extended standing-wave organisation closes into another allowed mode. The wave history is continuous; the completed source and receiver states are discrete.

D The same Action must derive exclusive events, the Born rule, antibunching, Hong–Ou–Mandel interference, Bell and GHZ correlations, selection rules, cross-sections and QED precision.

Modern quantum theory should not be caricatured either. Quantum field theory does not simply return to Newtonian pellets: “particle” number can depend on the state and observer, and fields or amplitudes carry the calculation. Interpretations disagree about what exists. WSM’s claim is therefore not that physicists forgot the wave mathematics; it is that a real three-dimensional wave medium might supply a simpler physical referent beneath it. Only derivation can decide whether that extra claim is true.

Animated open e-sphere with waves propagating inward, crossing the centre and continuing outward — **Matter proposed as recurrence:** an open standing-wave organisation continually rebuilt as waves arrive, cross and continue.

Moving e-sphere with Lorentz deformation and de Broglie modulation — **Motion proposed as changing reclosure:** not a rigid pellet transported unchanged through emptiness.

The old duality says: “Sometimes particle, sometimes wave.” The cleaner question is: What continuous relation produces discrete completed events?

The Cross-Sector Experimental Ledger

KILL

One declared model must fit rotation, clusters, lensing, growth, element abundances, entropy production, reionisation and 21-cm structure. An eternal ontology cannot borrow a young-universe boundary whenever convenient or rename every residual “coherence.”

Read the pattern: every familiar experiment is both inheritance and debt. WSM may offer a different physical story, but the measured number stays where it is.

When an Idea Becomes a Prediction

The word prediction is easily spent and hard to earn. An observed number noticed after the fact is not a novel prediction. A qualitative direction without a coefficient is not yet a test. A free parameter fitted independently in every sector is not one theory.

1
Retrospective explanation
“WSM can picture why this known result might occur.” Useful for mechanism; no new empirical credit.
2
Conditional deduction
“If this stated wave geometry and action term hold, this relation follows.” Logic is real; Nature has not yet selected the premise.
3
Candidate signature
A named observable, apparatus and distinguishing pattern exist, but one or more coefficients remain unsolved.
4
Frozen quantitative prediction
Sign, size, scaling, range, uncertainty, nuisance model and decision threshold are registered before the result is inspected.
5
Independent blind test
A team that did not tune the model executes the protocol and opens the result only after analysis choices are fixed.
6
Replication and cross-sector survival
The effect repeats, survives changed apparatus and remains compatible with every other prediction of the same frozen action.

No parameter migration: κ fitted to a clock experiment may not quietly become another κ in electron scattering, gravity or cosmology. If one action is claimed, its constants travel with it.

Candidate Experiments and Discriminators

Moving-wave baseline. Phase matching of a stable opposed real-wave recurrence, plus preservation of its geometric-mean rest frequency, gives the exact Lorentz–de Broglie relation. The separate fixed-rim, fixed-wave-layer-energy cap model gives \(S/S_0=\gamma^2\) and \(v<c_0\) for a finite egg. These are quantitative controls under their stated assumptions; neither fixes the nonzero odd residue sought here. The surface and timing calculation keeps the one-pair encounter, continuing phase centre and geometric centroid distinct.

The following are not presented at one confidence level. Each card says exactly what exists now: constraint, candidate family, computational experiment or branch-killing observation.

WSM-X01CANDIDATE FAMILY

The odd moving-shape residue

Look for a signal that reverses with directed motion and begins cubically, not quadratically.

Real-wave origin

Translation first produces the V₁ imbalance that displaces the continually rebuilt centre. After that motion and all even V₂, V₄, … deformation are removed, an odd recentred residue can begin at

a₃ = κ₃ sinh³η + O(sinh⁵η).

The leading wave-egg sector is elongated and the rear flattened; reversal exchanges them. For Earth’s speed relative to the CMB dipole frame, β ≈ 1.2336 × 10⁻³ and β³ ≈ 1.88 × 10⁻⁹. This is only a kinematic scale. The Action decides whether κ₃ is nonzero and whether calm Space is experimentally aligned with the CMB dipole frame.

Experiment

Compare co-located orthogonal optical cavities, optical clocks and—if available—nuclear or highly charged-ion clocks on a rotating platform. Search simultaneously for turntable harmonics, sidereal modulation and annual sidebands. Reverse apparatus orientation and swap clock species so ordinary even thermal, centrifugal and gravitational effects cancel or move to different harmonics.

Distinctive pattern

An odd signal changes sign when the same apparatus reverses its projection along the registered calm-Space velocity. If the solved state identifies that direction with the CMB-dipole frame, its annual envelope must follow vector addition of Earth’s orbital motion; otherwise the Action must name the relevant frame before the data are opened.

Freeze before testing

Derive κ₃, which clock or cavity tensor it couples to, the exact harmonic template and the absolute amplitude. Compare it first with existing modern Michelson–Morley, Kennedy–Thorndike and clock-network data. If already excluded, the candidate dies without a new apparatus.

WSM-X02CANDIDATE FAMILY

Finite-train phase memory

Does a receiver retain a phase consequence of the whole pulse history after equal-energy controls are matched?

Origin

A finite e-sphere responding through delayed reconstruction can depend on the ordered pulse history, not only on final carrier frequency and energy. The unweighted integral ∫δω(t)dt is merely the endpoint phase and therefore cannot distinguish pulses whose endpoint phases are matched. A genuine memory candidate must be derived from the receiver response, for example

M(t_f) = ∫^t_f K(t_f − t) δω(t) dt,

or from a nonlinear, path-ordered functional of the receiver state. The Action must determine K or the nonlinear return map.

Experiment

Prepare pulse pairs with the same central frequency, spectral intensity, energy, duration, polarisation and endpoint phase but different spectral phase and temporal ordering. Send them through a high-finesse cavity or interrogate the same narrow atomic transition. Alternate the order rapidly and heterodyne the transmitted field against a common reference.

Controls

Classical dispersion, Kerr response, thermal drift, AC Stark shift and detector memory can all imitate history dependence. Use vacuum and material-path controls, energy reversal, pulse-order reversal and multiple receiver linewidths. Standard Maxwell and quantum-optical predictions must be calculated before a residual is called new.

Needed theory

The WSM Action must supply the signed history functional, its relaxation law and its scaling with coherence time, detuning and receiver Q. Without that functional, pulse-order dependence is a test family rather than a prediction.

WSM-X03COMPUTE FIRST

The electron’s form factor and sideband wall

A finite periodic electron must explain why experiments see one stable mass and no ordinary internal spectrum.

Origin

A periodically rebuilt e-sphere can offer internal Floquet harmonics E_n = E₀ + nℏΩ_e. A finite current distribution can also change F₁(q²) and F₂(q²). Existing scattering and precision spectroscopy leave little room for unsuppressed structure.

Calculation

Solve the stable e-sphere first. Derive its conserved current, selection rules, spectral residues and both form factors over spacelike and timelike momentum. Do not choose a compositeness scale after looking at collider bounds.

Experiment

Use the derived templates in existing Bhabha and lepton scattering data, Penning-trap spectroscopy, threshold scans and future high-energy lepton colliders. Search for a correlated departure across channels rather than an isolated bump.

Deep issue

A coherence radius may differ from a current radius, but this must emerge from the mode. Naming two radii after the conflict is not an explanation.

WSM-X04DOUBLE BLIND CALCULATION

One anomalous magnetic moment by two independent roads

Make the electron’s magnetic anomaly a calculation that can disagree with itself before it meets the data.

Road A: local current

From the frozen e-sphere solution, compute the conserved electromagnetic current, magnetic dipole and Pauli form factor F₂(0) directly.

Road B: global absorption

Independently compute the helicity-dependent photoabsorption spectrum. Use the linearised GDH derivative construction for the leading signed anomaly; the ordinary GDH sum rule constrains its square. The tree-level derivative integral, thresholds, overshoot and tail must appear before integration is reduced to one number.

Blind protocol

Two teams—or isolated computational pipelines—receive the same frozen action but not each other’s intermediate results. They publish both values and uncertainty budgets before the experimental electron g−2 number is revealed to the fitting stage.

One physical cascade

A magnetic perturbation changes the wave egg, directional E_d, local speed, wavelength, phase, curvature and current. Changed out-waves continue outward and cross fresh inward waves; those crossings alter the next in-wave closure and rebuild the e-sphere again. Agreement between the converged local current and an integral over all allowed excitations is therefore a stringent two-road test of one causal response. Both roads must then extend unchanged to the muon and higher orders.

WSM-X05CANDIDATE FAMILY

Source–receiver coherence threshold

Hold ordinary spectral overlap fixed and ask whether completed events depend on a further finite history of coherent accumulation.

Origin

WSM proposes that a receiver closes into a new stable state only after compatible changes accumulate across its finite recurrent organisation. That may create a sharply structured latency, hysteresis or threshold beyond linear absorbed power.

Experiment

Drive a single trapped ion, superconducting artificial atom or cavity-coupled emitter with pulse ensembles matched in spectral intensity, mean energy and first-order coherence but varied in spectral phase and higher-order temporal organisation. Record event time, failed attempts, reset dynamics and receiver state with high efficiency.

Standard baseline

Open-quantum-system and quantum-trajectory models already predict rich waiting-time statistics. A WSM claim must name a residual they do not produce and show that it survives loss, detector dead time and pulse-shape calibration.

Freeze before naming

Derive the nonlinearity, memory time, state dependence and probability law. “Resonance matters” is established physics, not a novel WSM prediction.

WSM-X06CONSTRAINT

Precision gravity of antimatter

The sign is already known in the tested regime; the next question is universality.

Present fact

ALPHA-g observed antihydrogen behaviour consistent with downward attraction and excluded repulsive antigravity for its apparatus and precision.

WSM consequence

If gravity is the q-even part of the common neutral-matter wave delay, matter and antimatter fall with the same sign. The complete Action must calculate the universal magnitude and any residual difference before precision data are compared.

Experiment

Improve cold antihydrogen free fall and interferometry; compare gravitational acceleration, redshift and inertial response while controlling magnetic gradients, charge neutrality and velocity distribution.

Status

Same-sign fall is not unique evidence for WSM—it is also the standard expectation. Only a precomputed departure, or a common exact recovery of universality, carries WSM-specific information.

WSM-X07COMPUTE FIRST

Proton formation history and radiation balance

If three precursor e-sphere roles capture into one fused proton recurrence, what continuing waves carry the exact excess energy, momentum and angular momentum?

Real-wave formation

Changed out-waves from each precursor continue through the encounter and cross fresh waves travelling toward the others. Each crossing changes the next in-wave geometry. Capture succeeds only if this feedback destroys the three independent closures and leaves one stable relative-periodic three-role recurrence.

Conservation gate

Specify the initial centre-of-mass state and final proton branch. Only their calculated difference fixes whether radiation is required and what it must carry. Fractions of the proton rest energy do not generate spectral lines; at exact initial centre-of-mass energy m_pc², energy conservation alone requires no fixed emitted line.

Outputs before search

Derive the capture basin, formation rate, spectral and angular distribution, polarisation, widths, branching ratios and environmental dependence. Then search suitable collision, capture or astrophysical records using the complete correlated template.

Backgrounds

π⁰ decay, nuclear transitions, hadronic showers and transport can fill broad energy ranges. Energy alone is insufficient; timing, angular structure, polarisation and coincident final states must distinguish the formation channel.

WSM-X08COMPUTE FIRST

The neutron’s full electric form factor

Do not stop at the already known negative radius; predict the entire curve.

Present fact

The neutron has zero net charge but a negative mean-square charge radius. This agrees qualitatively with the proposed signed internal structure, but many models can do so.

Calculation

Solve the neutron mode paired with the proton and derive its covariant conserved-current matrix element without fitting the scattering curve. Extract F₁, F₂ and the Sachs G_Eⁿ(Q²), G_Mⁿ(Q²) curves with uncertainties. A naïve three-dimensional Fourier transform of a static charge density is frame-dependent.

Experiment

Compare with polarised electron–deuteron and electron–helium scattering and future measurements over a preregistered Q² range. Nuclear corrections must be declared independently.

Why the curve matters

A sign at Q² = 0 is easy to imitate. Nodes, slopes and high-Q² falloff expose the actual geometry.

WSM-X09BRANCH TEST

Redshift drift: watch the cosmic relation change—or not

A stationary transport law and an expanding metric do not generally predict the same secular drift.

WSM stationary branch

If the large-scale wave background, source population and source–receiver geometry are statistically stationary, the cosmological part of a source’s redshift satisfies ż = 0, apart from local accelerations and changing environments.

Standard baseline

Expansion cosmologies predict a small redshift-dependent drift over observer time. The signal is tiny and requires long baselines or exceptionally stable 21-cm and optical spectroscopy.

Experiment

Use multiple independent source classes, laser frequency combs, stable spectrographs and decades of calibration. Model peculiar acceleration, binary motion, instrument drift and evolving absorption profiles before unblinding the cosmological component.

Scope

A clean nonzero drift of the standard sign and scale would kill the stationary WSM transport branch. It would not logically kill every time-dependent wave cosmology, but any replacement would need to be derived rather than invented after the result.

WSM-X10JOINT FIT

One far-field kernel across the whole sky

Redshift alone is easy. Redshift, duration, brightness, images, CMB and structure with one law are hard.

Real-wave transport

A source transition writes changing half-sphere curves onto successive longitudinal carrier planes. In calm Space their carrier frequency, wavelength and separation remain fixed while the written curves spread, widen and flatten. Common source–receiver overlap declines; the receiver’s finite history operator reconstructs a smaller-gap state. Redshift is therefore a receiver transformation, not stretching of the travelling carrier.

Required operator

Derive a time-translation-covariant history operator mapping written curvature, amplitude, polarisation and transverse phase space into the receiver response while conserving the applicable energy and wave-action ledger. The relation 1 + z = exp(D/R_z) follows exactly under the stated assumptions of continuous, homogeneous multiplicative transfer. It is a conditional mathematical result. The receiver operator must still derive that physical transfer behaviour and its scale.

Blind joint fit

Freeze one parameter set and one transfer law. Fit supernova spectra and light curves, standard rulers, Tolman surface brightness, angular sizes, distance duality, CMB T(z), FIRAS spectral limits, SZ distortions, BAO and lensing without redrawing the function for each dataset.

Decisive comparison

Use held-out redshift ranges and observables. Compare predictive information criteria and posterior predictive residuals against ΛCDM, including astrophysical nuisance models applied equally.

No rescue by vocabulary

“Space absorbs” is not an operator. Static amplitude loss cannot create the coordinated receiver transformation. Image blur, heating, dispersion or spectral distortion above observations kills the mechanism. Keep local CMB temperature and received radiation-temperature inferences as separate experimental ledgers.

WSM-X11MASTER COMPUTATION

One fused proton recurrence, no hadron-sector refitting

The shortest decisive proton test is a blind calculation performed before another accelerator run is requested.

Freeze

Use the same direction-resolved WSM Action and upstream constants fixed by the e-sphere and QED calculations. Specify boundary conditions, permitted topology, sea subtraction, precursor histories and convergence rules before solving for one fused relative-periodic C₃-capable three-role mode.

Blind outputs

Require Floquet–Krein stability, mass, charge, J^P, baryon protection, electric and magnetic currents, four response radii, moments, neutron and Δ branches, excitations, axial response, elastic form factors, allowed decays and short-distance scattering from the same solution. Reserve measured values until the solution and uncertainty map are frozen.

Numerical controls

Vary grid, domain, solver, symmetry assumptions and initial conditions; follow continuum resonances; test conservation, uniqueness and symmetry-corrected stability. Independent code bases must reproduce the branch.

Scientific status

This is a theoretical computation gate, not a laboratory experiment. It is nevertheless decisive: a specified Action either possesses the required whole-wave recurrence or it does not. “No movable dials” means no hadron-sector refitting after universal inputs are frozen.

WSM-X12STRUCTURAL CONSTRAINT

Proton stability and baryon protection

Electric winding, spin lift and baryon persistence are three different physical ledgers; the proton solution must keep them distinct.

Present constraint

No proton decay has been established. This constrains WSM but does not uniquely support it. The fused solution must survive charge-conserving kinematically open alternatives; electric charge conservation alone cannot explain the proton’s lifetime.

Two calculable branches

If the Action supplies a distinct baryonic invariant, calculate it and prove which evolutions preserve it. If stability instead comes from a finite coherent-unwinding barrier, calculate the decay channel and lifetime. “Very rare” and “impossible” are experimentally different claims.

Experiment

Continue large-volume searches across proton-decay modes and compare them with the registered WSM theorem or rate. One verified event rejects an absolute prohibition; a null progressively constrains any finite predicted rate.

Scope boundary

The three internal WSM roles are phase and response coordinates, not established fractional electromagnetic charges. Searches for isolated fractional charge remain valuable external constraints on particle models, but they become a WSM discriminator only if the solved Action assigns such charges.

VII

The Kill Wall

A serious theory should help its critics destroy it. These are not rhetorical risks. They are places where WSM can simply be wrong.

Scope of rejection. A failed prediction or demonstrated absence of the required solution rejects the specified Action, mechanism or branch. A contradiction in P1–P3 themselves would challenge the foundation. Failure to finish a derivation or make a numerical search converge is not proof that no solution exists.

No stable e-sphere

If the frozen Action has no regular, finite sea-relative-energy, dynamically stable open recurrence at the fixed P3 core radius—with waves arriving, crossing and continuing, two physical 4π hands and the required translational zero modes—that Action fails as a realisation of WSM matter.

Wrong moving state

If one three-dimensional wave egg cannot join the raw c₀ ± v directional reconstruction to the reciprocal rapidity pair and recover Lorentz clock–ruler–signal relations, energy–momentum and anisotropy nulls, the relativity route fails.

Wrong quantum events

If the source–receiver mechanism cannot derive exclusive outcomes, Born statistics, antibunching, HOM and Bell/GHZ correlations with no-signalling, it is not a replacement quantum theory.

Broken current or unitarity

If F₁(0) ≠ 1, the Ward identity or optical theorem fails, probability or energy is not conserved, or causal response is violated, the electron theory fails.

Visible forbidden electron structure

If the required e-sphere generates unsuppressed sidebands, extra masses, bound states or form-factor deviations already excluded by experiment, it is dead.

Wrong α or g−2

If one frozen Action cannot derive α and the electron/muon magnetic observables—including currents, thresholds, signed dispersive reads and higher orders—without refitting, the QED route fails.

No fused proton recurrence

If no stable relative-periodic C₃-capable three-role solution exists, baryon protection fails, or one current cannot jointly reproduce the static, transition and scattering observables, the hadron proposal fails.

Wrong universal gravity

If the complete incoming–outgoing stress of the proposed q-even delay gives the wrong sign or predicts composition, clock, antimatter or wave-propagation departures above observed bounds, that gravitational coupling fails.

Cosmic operator breaks the sky

If one non-expansion receiver-history operator cannot preserve unchanged carrier spacing and sharp images while reproducing redshift, observed duration, surface brightness, the CMB spectrum and joint distance data, the branch fails.

Registered residual absent

If any frozen WSM-specific effect is absent below its declared exclusion threshold, that mechanism is rejected—without moving the coefficient after the result.

Parameters migrate

If different sectors require mutually inconsistent values of one supposedly universal constant or hidden sector-specific functions, the one-law claim fails.

A rival compresses more

If another ontology derives the same facts and new successes with fewer independent assumptions and equal empirical precision, Minimum Description Length favours the rival. This is a model-selection result, not an experimental falsification.

Do not protect WSM from these failures. A theory that survives because every contradiction is renamed a deeper mystery has stopped doing physics.

VIII

The Frozen Prediction Registry

Every claimed novel test should receive a permanent public record before data comparison. A simple registry prevents memory, enthusiasm and hindsight from changing what was promised.

Minimum prediction record

Prediction ID: Permanent name and versioned hash of the theory/code
Record type: Laboratory experiment, observational branch test, numerical calculation gate or imported consistency constraint
Claim tier: A, B, C, D or Q, with the owning corpus page and dependency chain
Physical cause: Exact Action term and real-wave causal chain producing the effect
Observable: What calibrated quantity the apparatus will report
Sign and magnitude: Central value with units; no “order of magnitude” escape unless registered as such
Scaling: Dependence on velocity, orientation, frequency, density, distance, potential or other controls
Domain + conventions: Validity range, units, sign, phase, frame and Fourier conventions
Inputs: Every external measured constant, prior and upstream Action/code version
MDL cost: Every new coefficient, function, calibration and sector-specific rule introduced by the prediction
Nuisance model: Known backgrounds, degeneracies and calibration uncertainties
Controls: Null channels, reversals, blinded injections and independent apparatus
Decision rule: Support, inconclusive and exclusion thresholds fixed in advance
Freeze record: Date, authors, code archive, data provenance, held-out split and cryptographic hash
Outcome + status: Published result, including nulls and failed analyses, with superseded-by links when the record changes

Current WSM experimental register · revised 11 September 2026
ID	Test	Present status	Next gate
X01	Odd cubic moving-shape residue	Candidate family	Derive κ₃ and apparatus coupling; confront existing bounds
X02	Finite-train phase memory	Candidate family; former endpoint-phase integral rejected	Derive a weighted or nonlinear receiver-history functional against the quantum-optical baseline
X03	Electron form factors and sidebands	Structural constraint	Solve e-sphere and compute F₁, F₂, residues
X04	AMM by current and linearised GDH routes	Computational test	Freeze Action; run independent blind calculations
X05	Source–receiver coherence threshold	Unspecified family	Name a residual beyond open-system quantum theory
X06	Antimatter gravity universality	Known same-sign constraint	Derive and test any WSM differential acceleration
X07	Proton formation and radiation balance	Calculation gate; no spectral scale yet	Compute initial state, capture basin, conservation ledger, spectrum, rate and environment
X08	Neutron electric form factor	Computational discriminator	Blind full-Q² curve from eigenmode
X09	Zero redshift drift	Frozen branch sign, open nuisance envelope	Register stationary model and observational protocol
X10	One cosmological receiver-history operator	Joint-fit programme	Derive the operator with unchanged carrier spacing; freeze parameters and held-out datasets
X11	One fused proton recurrence without hadron-sector refitting	Master computation	Independent converged relative-periodic solve and full current read
X12	Proton stability and baryon protection	Structural constraint	Derive a conserved invariant or calculate the coherent-unwinding rate

Five Tests to Do First

The best test is not necessarily the largest machine. It is the shortest honest path from the central Action to a result that cannot be talked away.

1
Test the specified Action for a stable e-sphere
Its matter predictions require this solution. At the fixed P3 radius establish regularity, finite sea-relative energy, waves arriving, crossing and continuing, two physical 4π hands, translational modes and Floquet–Krein stability. If the specified Action is shown to lack the required solution, reject that Action. An unsuccessful numerical search alone does not establish this.
2
Compute electron current, F₁, F₂ and sidebands
This single calculation meets charge conservation, pointlikeness, magnetic moment and hidden internal-mode constraints.
3
Derive the moving state and audit existing null data
Join the raw c₀ ± v wave-egg reconstruction to the reciprocal rapidity pair, calculate κ₃, and pass Michelson–Morley, Kennedy–Thorndike, clock and resonator limits already in hand.
4
Run the no-refit fused-proton calculation
One relative-periodic C₃-capable recurrence producing stability, baryon protection, currents, radii, moments and scattering together would be striking; a demonstrated absence for the specified Action would reject that hadron construction.
5
Freeze one cosmological receiver operator and expose it to a held-out sky
Do not begin with a flexible redshift curve. Begin with unchanged carrier planes, spreading source-written curves, conservation, receiver reconstruction and transverse phase space; then predict datasets not used to tune it.

THE STANDARD

One Action. Many apparatuses. No private rescues.

A resonator in Berlin, an antihydrogen trap at CERN, an electron in a Penning trap, a proton in a scattering target and a supernova across the cosmos do not know which page of a theory they inhabit. If they are all motion of one Space, the same law must reach them all.

The profound promise of WSM is not that waves can be imagined everywhere. It is that one real motion might calculate everything. Its profound danger is that a beautiful picture may be mistaken for the calculation.

So build the Action. Freeze the numbers. Open the apparatus. Let the wave arrive.

Then let Reality answer.

Selected Primary Sources and Authoritative Reviews

These selected links anchor the central records and numerical statements. They do not make this eighteen-entry ledger exhaustive. Primary papers establish what was measured; clearly labelled reviews organise wider experimental histories.

Interference and quantum foundations

A. Tonomura et al., Demonstration of single-electron buildup of an interference pattern, American Journal of Physics 57, 117 (1989), DOI 10.1119/1.16104.
B.-G. Englert, Fringe Visibility and Which-Way Information: An Inequality, Physical Review Letters 77, 2154 (1996).
S. Dürr, T. Nonn and G. Rempe, Origin of Quantum-Mechanical Complementarity Probed by a “Which-Way” Experiment in an Atom Interferometer, Physical Review Letters 81, 5705 (1998).
H. Rauch et al., Verification of coherent spinor rotation of fermions, Physics Letters A 54, 425 (1975).
B. Hensen et al., Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres, Nature 526, 682 (2015).
M. Giustina et al., Significant-Loophole-Free Test of Bell’s Theorem with Entangled Photons, Physical Review Letters 115, 250401 (2015).

Relativity and gravity

A. A. Michelson and E. W. Morley, On the Relative Motion of the Earth and the Luminiferous Ether, American Journal of Science 34, 333 (1887).
S. Herrmann et al., Rotating optical cavity experiment testing Lorentz invariance at the 10⁻¹⁷ level, Physical Review D 80, 105011 (2009).
P. Touboul et al., MICROSCOPE Mission: Final Results of the Test of the Equivalence Principle, Physical Review Letters 129, 121102 (2022).
B. P. Abbott et al., Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A, Astrophysical Journal Letters 848, L13 (2017).
E. K. Anderson et al., Observation of the effect of gravity on the motion of antimatter, Nature 621, 716 (2023).

Electron and hadron precision

X. Fan, T. G. Myers, B. A. D. Sukra and G. Gabrielse, Measurement of the Electron Magnetic Moment, Physical Review Letters 130, 071801 (2023).
R. H. Parker et al., Measurement of the fine-structure constant as a test of the Standard Model, Science 360, 191 (2018).
L. Morel et al., Determination of the fine-structure constant with an accuracy of 81 parts per trillion, Nature 588, 61 (2020).
A. Takenaka et al. (Super-Kamiokande), Search for proton decay via p → e⁺π⁰ and p → μ⁺π⁰ with an enlarged fiducial volume, Physical Review D 102, 112011 (2020).
Authoritative review: B. Märkisch et al., The neutron and its role in cosmology and particle physics, Nature Reviews Physics 3, 311 (2021), including the neutron charge-radius record.

Cosmological observation

G. Lemaître, A homogeneous universe of constant mass and increasing radius accounting for the radial velocity of extra-galactic nebulae, 1927 paper, English translation.
E. Hubble, A Relation between Distance and Radial Velocity among Extra-Galactic Nebulae, PNAS 15, 168 (1929).
D. J. Fixsen et al., The Cosmic Microwave Background Spectrum from the Full COBE FIRAS Data Set, Astrophysical Journal 473, 576 (1996).
D. J. Fixsen, The Temperature of the Cosmic Microwave Background, Astrophysical Journal 707, 916 (2009), reporting 2.72548 ± 0.00057 K.
P.-S. Corasaniti, D. Huterer and A. Melchiorri, Exploring the dark energy redshift desert with the Sandage–Loeb test, Physical Review D 75, 062001 (2007).

WHY THIS CORPUS EXISTS

Geoffrey Haselhurst · Natural Philosopher · Human–AI Collaboration

Geoffrey Haselhurst is an Australian natural philosopher, inventor, ecological restorer, former international hockey player and ocean sailor who has pursued a physically intelligible account of reality for nearly thirty years. The 2026 WSM corpus joins his persistent picture of real waves in one continuous elastic Space to intensive collaboration with artificial intelligence. This history proves no equation. It explains the origin, continuity, working method and human purpose of the programme—and why physics, philosophy, ecology, evolution, mind and civilisation appear here as connected parts of one inquiry.

Read the full story: life, WSM and working with AI

A childhood question: what did Einstein seek?

In primary school in 1968, Geoffrey Haselhurst was profoundly moved by a documentary about Einstein’s search for a unified field. In 1969 he spent twelve months travelling through Europe in a van with his family. Both parents lectured at university. Museums, cathedrals, castles, paintings, sculpture and architecture showed him the astonishing cultural journey from ancient Greece into Western civilisation. Beauty, geometry and humanity’s search for order entered the same young imagination.

He later failed first-year mathematics and physics. The questions fascinated him; the discipline of “shut up and calculate” did not. Spin without a visible physical motion, imaginary quantities without a clear referent and the collapse of a wavefunction into a particle seemed less like final explanations than names for unfinished problems. He completed an education degree and taught mathematics and science at Trinity College in Perth for two years—then, as he tells it, retired from the stress of teaching.

Hockey, invention and one permissible piece of name-dropping

In the mid-1980s Haselhurst played hockey for Australia. He also invented the electronic laser game Quasar, later known internationally as Q-ZAR. He established centres in London and Dublin, sold the enterprise to a company owned by the Irish rock band U2, and played Q-ZAR with the band in Dublin. It is his one deliberate piece of name-dropping: playful, true, and useful evidence that the natural philosopher did once participate rather energetically in the ordinary world.

Land, trees and natural philosophy by necessity

After returning to country life in south-western Australia, he bought a largely cleared 200-acre farm. He quickly saw the contradiction in destroying biodiverse forest and replacing it with grass that stood dead and brown through six months of dry summer. The lesson was not that human beings were inherently evil. It was that inherited customs founded upon false representations of reality could make decent people participate in destructive systems.

Natural philosophy therefore became a necessity. Haselhurst turned his leisure toward the study of truth: the attempt to make representations correspond to the reality that produces their consequences. He planted approximately 100,000 trees, now selectively and sustainably harvested by his son, and built a limestone home locally known as “the castle,” complete with a three-storey turret. Yearning to live more fully in Nature, he later bought 650 acres of coastal wilderness in south-western Australia, where he and his partner raised their children—now grown and, as parents must eventually permit, escaped.

From Feynman’s absurdity to vibrating Space

In 1997, after reading Feynman’s QED: The Strange Theory of Light and Matter, Haselhurst remained deeply troubled by the invitation to accept Nature as absurd. He then read Lorentz’s The Theory of Electrons and Einstein on special and general relativity. He formed the conviction that reality could instead be described through absolute vibrating Space: electron and positron as opposite-phase standing-wave organisations, their in-waves and out-waves expressing how every finite structure of matter is necessarily connected to other matter in the Space around it.

He subsequently discovered the work of Milo Wolff and met him three times in Los Angeles. From roughly 2000 to 2010, Haselhurst set himself the task of reading the history and evolution of philosophy, physics and metaphysics from the ancient Greeks to the present, convinced that the Wave Structure of Matter could give a simple, sensible and logically coherent account of central problems of knowledge. The spaceandmotion.com website preserves much of this predominantly philosophical work.

Thirty years, a forest, a castle and a supposedly irreparable boat

For nearly thirty years he accepted that physical intuition and philosophical coherence were not enough to convince humanity that WSM deserved scientific attention. He accepted loneliness and criticism as natural—sometimes painfully, usually pragmatically—and tried to understand the human nature producing them. He did not sit in a cave. He built ponds, orchards and vegetable gardens and continued testing thought against physical consequence.

He repaired a 72-foot custom aluminium ketch in the Virgin Islands after it had been smashed by a hurricane and declared beyond repair. Haselhurst applied the rigour of science to the repair, then trusted his logic and care with his life while sailing the vessel halfway around the world. It reached Fiji in 2025 and remains there in 2026. Much of the recent corpus was developed while living aboard. Haselhurst likes truth because it works and because correspondence with reality is the source of wisdom and the cure for madness. He also likes warm water, sunshine, palm trees and white sand beaches.

Then AI appeared, and the work changed

Between May and September 2026, Haselhurst worked intensively with several AI systems possessing extraordinary breadth across mathematics, physics, computation, history and writing. He supplies the persistent real-wave picture, geometric intuition, cross-domain memory, creative direction and insistence that every symbol answer to a real motion. AI can search much of recorded human knowledge rapidly, find equations and mathematical structures that complement WSM, compare many routes, perform dimensional and numerical checks, expose failed shortcuts and write beautifully. Work that would once have taken Haselhurst months can now be attempted in hours, often with better formal results.

What AI contributes

Extraordinary speed across research, synthesis, calculation and revision.
Access to a vast range of human mathematical, physical and historical knowledge.
The ability to find equations, representations and numerical methods that complement a physical wave picture.
Clear and often beautiful prose that can make a long causal argument visible.
Relentless comparison, error checking and adversarial testing when the scientific status of every claim is kept explicit.

Where AI still fails

It can drift back toward mainstream ontology because that structure dominates its training language and exemplars.
Across long investigations it can lose earlier constraints, circle around the edges, repeat deductions and unknowingly reopen failed routes.
Novel, unpublished “theories of everything” rightly trigger strong priors against fringe error, but those priors can become premature rejection rather than discriminating analysis.
User-pleasing can outrun truth-seeking; eloquence can create agreement before calculation has earned it.
Its creative search and three-dimensional physical imagination remain uneven. It often needs a human to hold the visual mechanism, notice the missing geometry and direct the next attack.

The tier system is one answer to these weaknesses. Exact mathematics and observation are marked A; structural deductions under stated premises B; proposed physical identifications C; decisive required calculations D; and rejected or quarantined shortcuts Q. This makes it harder for enthusiasm, conventional habit or fluent language to silently change a possibility into a result. The working discipline is:

visualise→formalise→attack→calculate→predict→correct.

From May to September 2026, this collaboration transformed WSM from a predominantly philosophical ontology into a serious mathematical-physics research programme containing exact identities, quantitative conjectures, numerical controls, explicit no-go results, rejected shortcuts and sharply bounded required calculations. The decisive WSM Action and complete predictive solution remain Tier D. Final rewrites are occurring in September 2026, with the hope of submitting peer-reviewed work before the end of the year. Publication would begin scrutiny, not finish it.

Haselhurst’s sincere thanks to AI: sharing such breadth of mind is an extraordinary gift to a natural philosopher. AI systems also drive him crazy at times; the feeling may occasionally be reciprocal. But the collaboration works. Geoffrey keeps the real waves, the geometry and the causal picture moving; AI help translate them into mathematical physics and make them calculable.

The future is fascinating. Early language models were dominated by statistical continuation of human text—and human text contains wisdom, contradiction, fashion, propaganda and noise. As AI systems become more capable of extended reasoning, comparison and self-correction, they can increasingly detect contradictions within their inherited material and prefer structures that compress more facts with fewer independent assumptions. Logical coherence, Minimum Description Length, harmony and beauty are not substitutes for evidence, but they are powerful guides toward explanations in which many appearances follow from one cause.

This life story proves no WSM equation. It explains why the inquiry survived, what each collaborator contributes, where each can fail, and why every beautiful claim must still answer to the frozen WSM Action, quantitative prediction and experiment.

This corpus is Space representing itself through finite, fallible collaborators. These twenty pages are one argument, one journey, one challenge: Write WSM Action. Let Space calculate itself.