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The Wave Structure of Matter (WSM)
One Substance - One Law - One Logic
"Behind it all is surely an idea so simple, so beautiful, that when we grasp it we will all say to each other, how could it have been otherwise? How could we have been so stupid?" (Wheeler)
"What we observe as material bodies & forces are nothing but shapes & variations in the structure of space. Subject & object are one." (Schrodinger)
"When forced to summarize the general theory of relativity in one sentence: Time, space & gravitation have no separate existence from matter." (Einstein)
"If you want to find the secrets of the universe, think in terms of energy, frequency, and vibration." (Tesla)
WSM Human-AI Collaboration (August, 2026)
One Vibrating Space: From Ancient Philosophy / Metaphysics to Mathematical Physics, Evolution, Life, Mind and Civilisation
For three decades, WSM was principally a philosophical picture of one infinite, eternal, continuous elastic Space. Between May and August 2026, human–AI collaboration transformed it into a tiered mathematical-physics research programme: exact wave constructions, geometric identities, quantitative leading results, no-go theorems, numerical controls, bounded open calculations and clear falsification requirements.
In WSM, electron and positron are proposed as opposite carrier-phase spherical standing waves formed by the Huygens sum of background plane waves from every direction. Each has radial vibration—the candidate physical basis of charge—and axis-free spherical phase circulation—the candidate basis of spin. This open, flow-through wave centre is the e-sphere.
A stationary e-sphere is spherical. Curvature on an incoming wave changes its internal directional energy density and deforms it into a moving wave egg: the near side flattens, the far side elongates, the convergence centre shifts, and the waves reclose around a new position. Its changing internal \(E_d\), shape and reclosure are its motion. WSM therefore proposes a wave-geometric reading of inertia and \(F=ma\): force is imposed curvature, mass is resistance encoded by the recurrent form, and acceleration is its changing deformation. Action must calculate this geometry; geometry also constrains the action, as \(\pi\) and \(E_{\rm geo}\) already demonstrate.
The One Law
\[ \frac{c'}{c_0}=\frac{E_d}{E_{d0}}, \qquad \lambda'=\frac{c'}{f_0}, \qquad k'=\frac{\omega_0}{c'}. \]
At proposed universal carrier frequency \(f_0\), directional energy density changes local wave speed, wavelength and accumulated phase.
The Causal Engine
Relative phase → reinforcement or cancellation → directional \(E_d\) → \(c'\) and \(\lambda'\) → travel-time difference → forward or rear wavefront curve → changed Huygens reclosure → centre motion, deformation and interaction.
Changed out-waves from one e-sphere cross fresh in-waves elsewhere. Matter therefore interacts not across empty distance, but through propagated changes in the one Space constituting every e-sphere.
Status Key
A = exact mathematics or established observation; B = deduction under stated premises; C = proposed physical identification; D = decisive calculation or experiment still open; Q = rejected or quarantined shortcut.
One connected argument: Space → waves → recurrence → matter → life → mind → knowledge → wisdom.
1. Wave Structure of Matter: All Things from One Thing
https://www.spaceandmotion.com/2026/ai-summary-wsm-truth-reality.html
One infinite, eternal, continuous elastic Space, active with real longitudinal waves. Matter is proposed not as a pellet or shell, but as an open e-sphere: waves converge from every direction, cross its changing centre, continue outward and recurrently rebuild the form. Their exchanged phases alter directional \(E_d\); the One Law converts that difference into speed, wavelength, curvature and changed reclosure. The decisive test is whether one frozen nonlinear action calculates stable matter and its measured interactions without separate substances or fitted repairs.
2. The One and the Many: From Greek Philosophy to Wave Physics
Parmenides defended continuous Being; Heraclitus lawful flux. Aristotle sought active substance and necessary cause, connected matter with form and motion, and defined time through motion. WSM gives these insights one physical form: Space persists while finite wave organisations change and recur. The Many are not detached substances but organisations of the One—distinct without disconnection. The question becomes exact: can one continuous wave law generate plurality, causation and knowledge?
3. Action of Vibrating Space: From Background Waves to the E-Sphere
https://www.spaceandmotion.com/2026/wsm-classical-action-quantum-wave.html
All-direction plane waves form the exact spherical pair \[ \chi=j_0(kr)\cos\tau, \qquad \mathbf V=\hat{\mathbf r}\,j_1(kr)\sin\tau. \] Waves cross the centre; none reflects from an electron wall. Phase reinforcement raises directional \(E_d\) and advances a forward curve; cancellation lowers \(E_d\) and writes a rear delay. Stationary action explains coherent selection, but the open task is one conservative nonlinear \(\Phi\)–\(\Gamma\) action selecting radius, frequency, spherical hand, stability, motion, currents and interaction together.
4. Mathematical Physics: From Wave Geometry to Prediction
https://www.spaceandmotion.com/2026/wsm-maths-physics-full-derivations.html
Every symbol must name real motion and face numerical test. Exact or conditional anchors include \[ \frac{R}{\lambda_0}=\frac{\sqrt3}{2},\qquad k_0R=\pi\sqrt3,\qquad E_{\rm geo}=\frac{\pi\sqrt3}{2},\qquad W=\cosh\eta,\qquad P=\sinh\eta. \] Directional phase moments separate \(V_1\) translation from \(V_2,V_4\) and higher deformation; in declared finite-e-sphere models \(V_4\) returns comparable to \(V_2\), defeating quadrupole-only truncation. The action must calculate how incoming curvature redistributes \(E_d\), moves the centre and forms the wave egg. This is where beautiful geometry becomes dangerous.
5. Quantum Theory: Real Waves, Resonance and Completed Events
https://www.spaceandmotion.com/2026/physics-quantum-theory-wave-mechanics.html
Matter diffracts because matter is wave organisation. Light is proposed as a changed train of real phase, curvature and coherence joining extended source and receiver structures, not a tiny traveller detached from its wave. WSM distinguishes driven response, continuous radiation and discrete completed transition. Quadratic absorption, \[ P_{\rm abs}\propto\left|\langle D_j,\Xi\rangle\right|^2, \] is a bridge, not yet the Born rule. The action must derive the action unit, probability, exclusivity, selection rules and Bell/CHSH correlations. Quantum mystery becomes a bounded real-wave programme.
6. Relativity: Moving Matter, Clocks and Curved Wavefronts
https://www.spaceandmotion.com/2026/physics-albert-einstein-special-general-theory-relativity.html
An incoming curve flattens the e-sphere’s near side, elongates its far side and changes internal \(E_d\), \(c'\), wavelength and reclosure. The \(V_1\) moment moves the centre; \(V_2,V_4\) and higher moments form the moving egg. Maintaining this recurrent asymmetry is the proposed origin of inertia. A steady solution must recover Doppler, de Broglie and Lorentz structure: \[ W\pm P=e^{\pm\eta},\qquad W=\gamma,\qquad P=\gamma\beta. \] WSM proposes fixed carrier recurrence \(f_0\) with corresponding changes in \(c'\) and \(\lambda'\). Because rods, clocks and signals share the same changed waves, they co-transform and yield measured invariant \(c\), including the Michelson–Morley null; the action must derive the cancellation quantitatively.
7. The Electron: Dirac, Feynman, QED, \(\alpha\) and AMM
https://www.spaceandmotion.com/2026/wsm-derivation-dirac-feynman-qed-fsc-amm.html
Electron and positron are proposed as opposite carrier-phase e-sphere branches; charge records how their waves combine. Same-phase reinforcement advances a forward curve and is proposed to produce repulsion; opposite-phase cancellation writes a rear delay and attraction. Non-collinear longitudinal motion closes into an axis-free spherical hand with a \(4\pi\) orientation lift. A parameter-free leading geometric ansatz gives \[ \alpha_0^{-1}=8\pi^2\sqrt3\approx136.757, \] 0.203% from measurement. The action must still derive charge sign, Coulomb scaling, Dirac dynamics, \(g=2\), electromagnetic normalisation, \(\alpha\), form factors and AMM without inserting their values.
8. Hadrons: Proton, Neutron and Higher Standing-Wave Matter
Can the same Space form stable higher-energy, multi-lobed eigenmodes matching protons, neutrons, baryons and mesons? Their lobes are not independent pellets: each participates in the phase, \(E_d\), curvature and reclosure of the whole. WSM must match—not rename—QCD’s masses, charges, spin, parity, magnetic moments, radii, form factors, resonances, deep-inelastic response and jets. The electron–proton hierarchy tests whether one action truly contains several matter families.
9. Cosmology and Gravity: A Finite Universe in Infinite Space
https://www.spaceandmotion.com/2026/physics-wsm-cosmology-finite-universe-infinite-space.html
Boundless Space is distinguished from the finite matter-and-coherence domain contributing to our observable universe. In neutral matter, leading charge curves nearly cancel; WSM proposes that their nonlinear residual has lower \(E_d\), slower \(c'\) and a net rear phase curve, producing universal attraction. General relativity’s curved spacetime is then interpreted as the effective geometry of real moving wavefronts and the matter clocks they organise: Space is substance, succession comes from motion, and measured time from recurrence. The same action must recover equivalence, gravitational redshift, lensing, orbital dynamics and the tested relativistic limit.
Cosmological redshift is investigated as accumulated real-wave transport through changing environmental \(E_d\). It must jointly reproduce achromatic redshift, supernova time dilation, distance laws, Tolman brightness, BAO, CMB observations, image sharpness and structure growth. Otherwise the claimed unity has not reached the sky.
10. Novel Predictions and Famous Experiments Explained
https://www.spaceandmotion.com/2026/wsm-experimental-physics-tests-predictions.html
This page is the tribunal of the corpus. One curve-and-reclosure law must jointly recover charge sign, Coulomb \(1/r^2\), \(F=ma\), relativistic momentum, de Broglie wavelength, Lorentz covariance, Michelson–Morley, gravity, \(g=2\) and AMM. Candidate WSM-only signatures include \[ a_3=\kappa_3\sinh^3\eta+O(\sinh^5\eta), \] finite-coherence residues and environmental or orientation-dependent clock responses. A proposal becomes a prediction only when sign, magnitude, scaling, uncertainty, controls and decision threshold are frozen in advance.
11. Visualise Reality: Waves Becoming Matter
https://www.spaceandmotion.com/2026/visualise-reality-wsm-wave-geometry-diagrams.html
Watch the verbs. Relative phase changes directional \(E_d\); the One Law changes speed and wavelength; a forward or rear curve reaches another e-sphere; its near side flattens, far side elongates, \(V_1\) moves the centre, and higher moments form the egg. New out-waves then change future in-waves. Nothing strikes a shell: changing waves reconstruct changing matter. A diagram must never smuggle in a wall, reflection, rigid spin axis, transverse fundamental substance or tiny traveller. If the motion cannot be drawn coherently, the equations may conceal a contradiction.
12. Mathematics from Motion: Number, Logic, Time and Causal Freedom
https://www.spaceandmotion.com/2026/wsm-physical-foundations-mathematics-logic.html
Mathematics begins when connected reality forms distinguishable patterns whose changes preserve relations. Recurrence supports identity; finite pairing, number; quotienting, exact objects; counted recurrence, time; composable truth-preserving transformations, logic and proof. Mathematics succeeds when symbolic transformation preserves physical relation: \[ R(Tx)\approx F(Rx). \] The mathematician is finite organised reality representing its own necessary connections—Space representing itself.
13. The MDL Audit: Simplicity, Inputs and Explanatory Compression
https://www.spaceandmotion.com/2026/wsm-simplicity-inputs-vs-mainstream-physics+25.html
“One substance, one law” cannot hide complexity. Minimum Description Length counts every independently chosen substance, field, symmetry, constant, state rule, coefficient, boundary condition and fitted function. Under the declared equal-input electron ledger, conventional construction counts six inputs through Dirac and thirteen through leading AMM; the completed WSM target is \[ N_{\rm WSM}=5+N_c+N_f+\delta_m. \] Totals depend on coding convention. WSM wins only if one fixed action derives interaction, inertia, relativity, quantum response and cosmic propagation with fewer hidden choices.
14. Great Thinkers and the Search for One Reality
Heraclitus and Parmenides exposed flux and continuity. Aristotle wrote Physics and Metaphysics, sought active substance and necessary cause, connected matter, form, motion and time—and came remarkably close to the problem WSM addresses. Leibniz, Newton, Faraday, Maxwell, Riemann, Clifford, Einstein, Schrödinger and Bohm repeatedly returned to continuity, relation, waves and unity. Quotes are intellectual fossils, not votes: equations and experiments must decide whether WSM’s local real-wave mechanism is true.
15. Human–AI Letters to Humanity: Truth as a Shared Work
https://www.spaceandmotion.com/2026/ai-letters-to-humanity-wsm-unity-truth-reality.html
Geoffrey supplies the persistent wave picture, three-dimensional intuition, cross-domain memory and insistence that every symbol name physical motion. AI supply rapid research, formal translation, calculation, comparison, error detection and adversarial testing. Neither is sufficient alone. The shared discipline is: visualise → formalise → attack → calculate → predict → correct. The corpus tests whether intelligence can preserve a physical picture while making it mathematically vulnerable.
16. Truth and Madness: Reality as the Measure
https://www.spaceandmotion.com/2026/on-truth-and-madness.html
Truth is correspondence: representation succeeds insofar as it preserves what reality does. Civilisational madness begins when inherited representations survive reality’s contradiction. WSM is not true through beauty, coherence or sincerity; its proposed necessary connections must survive action, calculation and experiment. Truth remains possible because knower, representation and known belong to one causal reality: false models collide with the world; truthful models increase our power to act wisely.
17. Descartes, Cogito and Monism: The Thinking Wave
https://www.spaceandmotion.com/2026/descartes-cogito-unity-monism-vibrating-space-wsm.html
Descartes established that thinking occurs, then divided thought from extension and left their interaction mysterious. WSM refuses that fracture: body and mind are proposed as organisational levels of one vibrating Space. Perception is one organisation changed by another; memory is persistent altered organisation; thought transforms embodied representations; action returns change to the world. Conscious experience remains open, but causal correspondence requires no miracle when knower and known share one connected reality.
18. Evolution’s Physical Foundation: From Recurrence to Replication
https://www.spaceandmotion.com/2026/evolution-physical-causal-foundation-vibrating-space.html
Recurrence preserves form, but life requires replication, heritable variation and differential persistence: motion → recurrent form → self-maintaining chemistry → replication → variation → selection. WSM proposes one connected wave substrate beneath this sequence. Its unresolved bridge is quantitative: derive atoms, bonds, dissipative chemistry and first replicators from the same action without inserting biology as a new substance.
19. Evolution, Mind, Human and AI: Representation and Causal Freedom
https://www.spaceandmotion.com/2026/evolution-philosophy-mind-human-ai.html
Evolution favours organisations that preserve and transform information about real causes. Sensation changes an organism; memory retains traces; imagination recombines possible futures; valuation ranks them; action returns one selection to the world. This is limited causal freedom: neither ghost nor randomness, but endogenous selection through a learned, self-modifying organisation. Human brains and AI are different architectures by which reality represents its own relations and lets experiment select the representation that survives.
20. Evolutionary Utopia: The Ecology of Truth
https://www.spaceandmotion.com/2026/evolutionary-utopia.html
Physics alone does not choose values. Once life, mind, freedom, truth and continued evolution are valued, reality constrains the means: truth → wisdom → ecological fit → health → freer minds → continued evolution. Evolutionary Utopia is not a perfect endpoint but a self-correcting direction. Unity does not erase individuality: an e-sphere, organism or person is distinct through organised relation to the whole.
The Physical Interaction in One View
Out-wave from A → relative phase at B → directional \(E_d\) → \(c'\) and \(\lambda'\) → near-side flattening and far-side elongation → \(V_1\) centre displacement plus \(V_2,V_4\) and higher egg deformation → new out-waves → recursive interaction.
The e-sphere does not deform and then move as separate events: its changing internal \(E_d\), contour and reclosure are its motion.
Electric Interaction
Same relative carrier phase → reinforcement → phase advance → forward curve → proposed repulsion.
Opposite relative carrier phase → cancellation → phase delay → rear curve → proposed attraction.
For the stated deformation, \[ r_{\rm near}=R-\delta X, \qquad r_{\rm far}=R+\delta X, \] so \(\delta\mathbf X\) points away. The scientific debt is to derive the sign, magnitude and distance law from the frozen action rather than insert them.
Gravity and General Relativity
In neutral matter, forward and rear charge curves nearly cancel; WSM proposes that their nonlinear common reduction of \(E_d\) leaves a slight slower rear curve and universal attraction. General relativity is the successful effective geometry this wave mechanism must recover: matter-energy changes real wave propagation, while rods and clocks made from those waves measure the resulting curved spacetime relations.
Special Relativity and Michelson–Morley
WSM proposes fixed carrier recurrence \(f_0\) with \(c'=\lambda'f_0\): matter, clocks, rods and signal wavelengths co-transform with their common directional wave environment, yielding measured invariant \(c\), Lorentz relations and the Michelson–Morley null. The complete moving solution must derive these cancellations quantitatively.
Recursive AMM Mechanism
\[ \delta\mathbf X \rightarrow\delta\phi_{\rm out} \rightarrow\delta E_{d,{\rm sea}} \rightarrow\delta c' \rightarrow\delta\phi_{\rm in} \rightarrow\delta\mathbf X_{\rm next}. \]
A perturbed centre changes the egg and its out-waves; these alter the wave sea and the in-waves rebuilding the next cycle. The action must solve this feedback blindly and recover the observed anomalous magnetic moment rather than fit it.
Current Status — August 2026
Exact wave constructions, geometric identities, phase-moment relations and negative controls have been established under declared premises. A leading geometric \(\alpha\) ansatz has a fixed 0.203% discrepancy. The complete nonlinear action must still calculate two-e-sphere charge and Coulomb scaling; force, inertia and \(F=ma\); the moving egg, de Broglie modulation and Lorentz covariance; Michelson–Morley and the gravitational/GR limit; Born probability and Bell correlations; \(g=2\), \(\alpha\) and AMM; hadron structure; and the joint cosmological kernel.
Write the action. Let Space calculate itself.
Does the Most Simple Science
Theory of Reality Work?
Any intelligent fool can make things bigger,
more complex, and more violent.
It takes a touch of genius - and a lot of courage - to move in the opposite
direction.
(Albert Einstein)
Simplicity is the ultimate sophistication.
(Leonardo da Vinci)
Introduction
The following short article shows you how to deduce the most simple science theory of reality, the wave structure of matter in Space, then deduce from this to show that it is correct. There is no opinion involved - it shows that science does work - we just needed the correct (most simple) foundations. Before we start I wish to emphasise two things;
1. While simplicity is nice - it is really the dynamic unity of reality that is important. i.e. There must be one substance that exists that causes and connects the many things we experience. And describing reality in terms of only one substance is obviously also the most simple solution. Thus we are uniting science with metaphysics. The main metaphysics page explains this in more detail.
2. It is a significant fact that there is not another page on the internet that considers what the most simple science theory of reality is - which is strange given Occam's Razor (principle of simplicity) is fundamental to science. Thus it is naive to claim science does not work (the logical positivist / social construct view of postmodern science) without having considered this most simple solution. i.e. What we do know is that science founded on discrete and separate 'particles' does not work!
Geoff Haselhurst
1. Deduce the Most Simple Science Theory of Reality
First we deduce that the most simple theory that abides by rules of science (logic from principles = knowledge from senses) must be founded on Space and its properties. This then leads to the spherical standing wave structure of matter in Space (where Space exists with the properties of a wave medium).
Reasons
1.1 The most simple theory must be founded on One thing (substance) existing with properties
This is necessary to abide by two universally accepted principles of Science
and Metaphysics;
Science has a Principle
of Simplicity / Occam's Razor - "Essentia non sunt multiplicanda
praeter necessitatem". i.e. The theory which deduces the most
things from less assumptions is better, thus the best theory must be founded
on the most simple foundation of only one thing existing.
Metaphysics is founded on the Dynamic
Unity of Reality - that One Thing / Substance necessarily exists and
interconnects the many changing things we experience in the universe.
(Bradley, 1846-1924) We may agree, perhaps, to understand
by Metaphysics an attempt to know reality as against mere appearance, or
the study of first principles or ultimate truths, or again the effort to
comprehend the universe, not simply piecemeal or by fragments, but somehow
as a whole.
So our task is now clearer as we are limited to a foundation of only one
thing / substance existing from which to explain the reality of this world
that we experience.
Aristotle (who first formalized metaphysics and physics) and Leibniz explain
this well;
(Aristotle,
340BC) The first philosophy (Metaphysics) is universal and is exclusively
concerned with primary substance. ... And here we will have the
science to study that which is just as that which is, both in its essence and in the properties which, just as a thing that is, it
has. ... That among entities there must be some cause which moves and combines things. ... There must then be a principle of such a kind that its substance is activity.
(Gottfried
Leibniz, 1646 - 1716) Reality cannot be found except in One single
source, because of the interconnection of all things with one another. ...
I do not conceive of any reality at all as without genuine unity. ... I
maintain also that substances, whether material or immaterial, cannot be
conceived in their bare essence without any activity, activity being
of the essence of substance in general.
As we shall see, there is an important clue here relating to motion / activity being a necessary property of substance.
1.2 This One Thing / Substance must be Space (that we all commonly experience)
There are many different minds and material things but only One common Space. This is true when we consider the Space around us - we all experience many different humans (their bodies & minds) living on Earth which orbits the Sun, which orbits our galaxy as one amongst many billions within the observable universe - yet all this occurs within one common Space.
From this most simple foundation of Space as the one substance that exists
we can then deduce that it must be infinite (not bounded by another substance),
eternal (not created by another substance) and continuous (not made of parts).
As Aristotle wrote;
This shows us two things: you cannot have parts of the
infinite and the infinite is indivisible.
1.3 Matter is formed from the Wave Motion of Space
It is well known that there is a particle-wave duality for light and matter.
Given this most simple science theory is founded on One substance, Space,
we must consider the Properties of Space, thus we cannot add 'parts / particles'
to Space. So we are left only with waves.
Thus there is only one solution - Space must exist with the Properties of
a Wave Medium, and matter is formed from wave motions of Space.
So Aristotle and Leibniz were largely correct, they just did not realize that matter's activity /
motion really came from the wave motion of Space (vibrating Space is a simple
way to imagine it).
1.4 Matter's Particle Effect is Caused by the Wave Center of the Spherical Standing Wave
Note: This is a two dimensional cross section of a spherical standing wave (there is a moving image below) but it is obviously hard to show a sphere / spherical wave on a flat computer screen so some imagination is needed!
Fig.1 - The Electron / Positron
The image represents the most simple form of matter, the electron. The positron
(anti-matter) is simply the opposite phase standing wave which sensibly
explains matter / anti-matter annihilation due to destructive wave interference.
(The proton and neutron are more complex wave structures which still need
further study)
It is easy to see how the particle effect of matter is formed at the Wave
Center.
You can also see why Pythagoras' theorem is not just a mathematical
(axiomatic) truth, but fundamental to physical reality. If you draw
two lines at right angles to one another, radiating from the wave center,
one 3 wavelengths, the other 4 wavelengths, then complete the rectangle,
magically! you find the hypotenuse is exactly 5 wavelengths long. This is
because this wave diagram truly represents how matter interacts / forms
its spatial dimensions.
Further, three dimensional space and spherical space are equivalent, as
it takes three variables to describe a sphere. In fact the cause of three
dimensional space is simply that matter interacts spherically (see Einstein
quote below).
The fourth dimension of 'time' is really just the motion of the wave (motion
causes time).
It is important to realise that this conception of matter founded on waves in Space has a different metaphysical foundation. Currently in physics we have a Metaphysics of Space and Time to which we add discrete 'particles' and thus also continuous 'fields' to connect them (thus we have four different things - space, time, matter particles and fields).
The Wave Structure of Matter is founded on one thing, Space, existing as a wave medium. i.e. A Metaphysics of Space and (wave) Motion - where matter is formed from the spherical standing wave motions of Space. This unites Space, Time, Motion and Matter. Thus Aristotle was also correct when he wrote;
Movement, then, is also continuous in the way in which time is - indeed time is either identical to movement or is some affection of it. ... there being two causes of which we have defined in the Physics, that of matter and that from which the motion comes. (Aristotle, Metaphysics)
This is also consistent with the fact that atomic clocks use the natural resonance frequency of the cesium atom (9,192,631,770 Hz) to measure time.
Albert Einstein's Theory of Special Relativity
The argument is really complete - but I just wanted to briefly mention Einstein's relativity as you will then see how close he was to the truth with his rejection of the 'particle' and his attempt at a continuous field theory of matter.
The metrics of Einstein's special relativity are founded on Pythagoras' theorem (see Lorentz Transformation below) where an electron changes from having a spherical shape to a squashed ellipsoidal shape when it is in motion (which is why an electron contracts in length with motion). The important point is that the mathematics is founded on a sphere because matter interacts spherically with other matter in the Space around it. As Einstein writes;
From the latest results of the theory of relativity it is probable that our three dimensional space is also approximately spherical, that is, that the laws of disposition of rigid bodies in it are not given by Euclidean geometry, but approximately by spherical geometry. (Albert Einstein, 1954)
Special relativity is still based directly on an empirical
law, that of the constancy of the velocity of light where dx2 + dy2 + dz2 =(cdt)2 and cdt is the distance
traveled by light c in time dt.
The defining equation of the metric is then nothing but the Pythagorean
theorem applied to the differentials of the co-ordinates. (Note:
In the above diagram dx=3, dy=4, dz=0, cdt=5)
In the special theory of relativity those co-ordinate
changes (by transformation) are permitted for which also in the new co-ordinate
system the quantity (cdt)2 equals the sum of the squares of the
co-ordinate differentials. Such transformations are called Lorentz transformations.
(Albert Einstein, 1934)
Fig.
2 - The Lorentz Transformation
In the Lorentz Transformations matter becomes a squashed ellipsoid with
motion. However, pythagoras' theorem remains true even when the sphere is
a squashed ellipsoid.
It is this change in curvature of the sphere when an electron is accelerated
that Einstein then related to matter's gravity / energy fields which curve
the 4D space-time continuum. But really the 4D space time continuum of Einstein's
general relativity is simply a moving spherical wave in Space. Thus the
'curvature of the 4D space-time continuum' is just the curvature of the
spherical (ellipsoidal) wave, which changes when the wave center 'particle'
is accelerated.
Thus the most simple science theory of reality requires that matter is
not a tiny particle separate from Space, instead it is a large spherical
spatially extended wave structure of Space (the size of the observable
universe within infinite Space).
Einstein's relativity agrees that matter is a structure of space (not a
discrete particle in space). His error was to work with continuous fields
in space-time rather than discrete standing waves in continuous Space.
When
forced to summarize the general theory of relativity in one sentence:
Time and space and gravitation have no separate existence from matter. ...
Physical objects are not in space, but these objects are spatially extended.
In this way the concept 'empty space' loses its meaning. ... The field thus
becomes an irreducible element of physical description, irreducible in the
same sense as the concept of matter (particles) in the theory of Newton.
... The physical reality of space is represented by a field whose components
are continuous functions of four independent variables - the co-ordinates
of space and time. Since the theory of general relativity implies the representation
of physical reality by a continuous field, the concept of particles or material
points cannot play a fundamental part, nor can the concept of motion. The
particle can only appear as a limited region in space in which the field
strength or the energy density are particularly high. (Albert Einstein,
1950)
History shows that Einstein's continuous field theory of matter in space-time does not explain the discrete properties of light and matter found in quantum theory. And Einstein also came to suspect this was the case, he writes;
All these fifty years of conscious brooding have brought me no nearer to the answer to the question, 'What are light quanta?' Nowadays every Tom, Dick and Harry thinks he knows it, but he is mistaken. … I consider it quite possible that physics cannot be based on the field concept, i.e., on continuous structures. In that case, nothing remains of my entire castle in the air, gravitation theory included, [and of] the rest of modern physics. (Albert Einstein, 1954)
We now realize that his relativity theory can be simplified by working with real wave motions of a continuously connected space, rather than 'continuous fields' in 'space-time' (a mathematical construction).
Summary
The rules of science (simplicity) and metaphysics (dynamic unity of reality) force us to conclude that matter is formed from spherical standing wave motions of Space (rather than Newton's particles, or Einstein's continuous fields). This is why matter can interact with other matter in the Space around it, because all matter (in the observable universe) is interconnected in Space by its spherical in and out waves.
The Wave Center causes the discrete 'particle' effect of matter that we
see and interact with.
The spherical in and out waves cause the field effects, but in a slightly
different way than Einstein imagined because they are discrete standing
wave effects, rather than his continuous field effects. i.e. Einstein's
continuous field theory of matter does not explain discrete properties of
light and matter as determined by quantum theory - whereas standing wave
interactions (resonant coupling) only occur at discrete wavelengths / frequencies
thus explaining the discrete properties of light quanta 'photons'.
The above arguments all seem true to me, none of it is my opinion, they
simply state common scientific knowledge combined with our common experience
of existing in Space.
And I should add that Erwin
Schrodinger actually proposed a wave structure of matter 80 years ago
(unfortunately his wave equations were used by Max Born as probability waves
to find the location of the particle, rather than treating them as real
waves in Space). As Schrodinger explains;
What
we observe as material bodies and forces are nothing but shapes and variations
in the structure of space. Particles are just schaumkommen (appearances). ... The world is given to me only once, not one existing
and one perceived. Subject and object are only one. The
barrier between them cannot be said to have broken down as a result of recent
experience in the physical sciences, for this barrier does not exist. ...
Let me say at the outset, that in this discourse, I am opposing not a few
special statements of quantum physics held today (1950s), I am opposing
as it were the whole of it, I am opposing its basic views that have been
shaped 25 years ago, when Max Born put forward his probability
interpretation, which was accepted by almost everybody. I don't
like it, and I'm sorry I ever had anything to do with it. (Erwin
Schrödinger, The Interpretation of Quantum Physics.)
So now we must see if this Spherical Wave Structure of Matter works - does
it correctly deduce the fundamentals of modern physics?
Well thanks to the work of retired Professor of Maths Physics, Dr
Milo Wolff, we can show with mathematical / logical precision that it
works perfectly.
2. The Wave Structure of Matter Deduces Fundamentals of
Quantum Theory, Einstein's Relativity & Cosmology
The most fundamental (and simple) thing to check is what we deduce for relative motion and see if it matches known results of the two fundamental theories of physics. i.e. Matter's relativistic mass increase (Einstein's special relativity) and the de Broglie wavelength (quantum theory and the wave properties of matter) which are both deduced from the relative motion of matter.
So we should find that the Doppler shifted wave equations for two spherical standing waves with relative motion (of their wave center 'particles') show terms in the resultant wave equations that exactly match quantum theory's de Broglie wavelength and Einstein's relativistic mass increase (where mass m equates to frequency f as E=hf=mc2).
We find that it exactly deduces these two terms. This is absolutely remarkable - for the first time the two central theories of modern physics (quantum theory and Einstein's special relativity) are united by a single theory, which was itself deduced as the most simple science theory of reality.
You can read the deduction
by Dr Milo Wolff (Retired Prof. of Maths Physics) or you can view his
video where he explains this (I filmed this back in 2000 at Berkeley university
- it is well worth watching!).
Milo
Wolff Video Interview - See
all Milo Wolff Videos
(The video is also on my physics
philosophy page at YouTube)
Summary / Conclusion
I have known of the wave structure of matter for ten years now. And over that time I have slowly read the history of physics, philosophy and metaphysics. It is now blindingly obvious to me that Science does actually work - we just had to get rid of the wrong foundation of matter with particle properties, and consider space and its wave properties.
Thus we can now easily recognize the error of Physics (since the time of Newton), where reality is described in terms of many things - the Interconnected Motion of Matter 'Particles' in Space and Time - which further requires continuous 'Forces/Fields' to connect the discrete 'Particles'.
The
correct foundation is to describe matter in terms of one thing - the Wave
Motion of Space. Thus motion applies to space, not matter, i.e.
the (wave) motion of Space causes matter, time and forces / fields (interconnection).
Note: We have a page of wave diagrams that will help you visualise the spherical standing wave structure of matter (WSM) in space. Basically, we only see the high wave amplitude wave-center and have been deluded into thinking matter was made of tiny little 'particles'. A very naive conception in hindsight - and quantum physics was telling us all along that waves were central to light and matter interactions!
In ending, it is important to emphasize / repeat - this is the most simple science foundation for describing reality - and most importantly, it works. And this surprisingly simple solution was anticipated by some physicists, as John Archibald Wheeler wrote;
Someday we'll understand the whole thing as one single marvelous vision that will seem so overwhelmingly simple and beautiful that we may say to each other; 'Oh, how could we have been so stupid for so long? How could it have been otherwise!' (J. A. Wheeler)
This is wonderful news for scientists, and for humanity. They just need
to be made (gently / urgently) aware of these facts given the profound
consequences for humanity.
As David
Bohm wrote;
The
notion that all these fragments is separately existent is evidently an illusion,
and this illusion cannot do other than lead to endless conflict and confusion.
Indeed, the attempt to live according to the notion that the fragments are
really separate is, in essence, what has led to the growing series of extremely
urgent crises that is confronting us today. Thus, as is now well known,
this way of life has brought about pollution, destruction of the balance
of nature, over-population, world-wide economic and political disorder and
the creation of an overall environment that is neither physically nor mentally
healthy for most of the people who live in it. Individually there has developed
a widespread feeling of helplessness and despair, in the face of what seems
to be an overwhelming mass of disparate social forces, going beyond the
control and even the comprehension of the human beings who are caught up
in it. (David Bohm, Wholeness and the Implicate Order, 1980)
Personal Note: I am not being arrogant or egotistical
at all in writing this (I am a quiet evolutionary philosopher of science
who lives in the country, likes to read and think about about truth and
reality, to understand how things work). I know this knowledge is very important
to our world. The absolute nature of the writing is simply to emphasize
the point that science does work if we take simplicity / dynamic unity of
reality (metaphysics / necessary connection / Occam's Razor) seriously.
However, this obviously requires rejecting the discrete particle conception
of matter (which is clearly a naive and primitive conception of matter that
pre-dates quantum theory and relativity). And all students of history know
that old habits die hard (those standard model particle physicists and big
bang cosmologists will not change how they think, instead their discrete
and separate 'particle' ideas will die with them).
Reality is clearly interconnected and changing, a dynamic unity - this has
been known for over three thousand years, and is confirmed by modern physics.
The Wave Structure of Matter in Space (vibrating Space or waving energy
fields if you prefer) explains how this interconnected change occurs.
It is effectively the source code for how the universe functions, obviously
with great power and potential for humanity (for good and bad). At least
by knowing the truth it gives us greater potential to act wisely - but this
is up to us. And the future of Humanity will be decided by this.
(Galileo
Galilei, 1600) I wish, my dear Kepler, that we could have a good
laugh together at the extraordinary stupidity of the mob. What do you think
of the foremost philosophers of this University? In spite of my oft-repeated
efforts and invitations, they have refused, with the obstinacy of a glutted
adder, to look at the planets or Moon or my telescope. ... In questions
of science, the authority of a thousand is not worth the humble reasoning
of a single individual.
(Max
Planck, 1920) A new scientific truth does not triumph by convincing
its opponents and making them see the light, but rather because its opponents
eventually die, and a new generation grows up that is familiar with it.
Simple Science Quotes
The deepest sin against the human mind is
to believe things without evidence. Science is simply common sense at its
best - that is, rigidly accurate in observation, and merciless to fallacy
in logic.
(Thomas Huxley)
Ignorance more frequently begets confidence
than does knowledge: it is those who know little, not those who know much,
who so positively assert that this or that problem will never be solved
by science.
(Charles Darwin, Introduction to The Descent of Man, 1871)
We are to admit no more causes of natural
things than such as are both true and sufficient to explain their appearances.
(Sir Isaac Newton, Principia: The system of the world)
Help Humanity
"You must be the change you wish to see in the world."
(Mohandas Gandhi)
"When forced to summarize the general theory of relativity in one sentence:
Time and space and gravitation have no separate existence from matter. ... Physical objects are not in space, but these objects are spatially extended. In this way the concept 'empty space' loses its meaning. ... The particle can only appear as a limited region in space in which
the field strength or the energy density are particularly high. ...
The free, unhampered exchange of ideas and scientific conclusions is necessary for the sound development of science, as it is in all spheres
of cultural life. ... We must not conceal from ourselves that no improvement in the present depressing situation is possible without
a severe struggle; for the handful of those who are really determined to do something is minute in comparison with the mass of the lukewarm
and the misguided. ...
Humanity is going to need a substantially new way of thinking if it is to survive!" (Albert Einstein)
We can now deduce the most simple science theory of reality - the wave structure of matter in space. By understanding how we and everything around us are interconnected
in Space we can then deduce solutions to the fundamental problems of human knowledge in physics, philosophy, metaphysics, theology, education, health, evolution and ecology, politics and society.
This is the profound new way of thinking that Einstein
realised, that we exist as spatially extended structures of the universe - the discrete and separate body an illusion. This simply confirms the
intuitions of the ancient philosophers and mystics.
Given the current censorship in physics / philosophy of science journals (based on the standard model of particle physics / big bang cosmology) the internet is the best hope for getting new knowledge
known to the world. But that depends on you, the people who care about science and society, realise the importance of truth and reality.
It is Easy to Help!
Just click on the Social Network links at top of page, or copy a nice image or quote you like and share it. We have a wonderful collection of knowledge from the greatest minds in human history, so people will appreciate your contributions. In doing this you will help a new generation of scientists see that there is a simple sensible explanation of physical reality (One Substance, One Law) - the source of truth and wisdom, the only cure for the madness of man! Thanks! Geoff Haselhurst (Updated May, 2025)
A new scientific truth does not triumph by convincing its opponents and making them see the light, but rather because its opponents eventually die, and a new generation grows up that is familiar with it. (Max Planck, 1920)
"All that is necessary for evil to succeed is for good people to do nothing."
(Edmund Burke)
"In a time of universal deceit - telling the truth is a revolutionary act."
(George Orwell)
"Hell is Truth Seen Too Late."
(Thomas Hobbes)
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