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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.
Truth Statements on Physical Reality
I think, hence I am, was so certain and of such evidence, that no ground of doubt, however extravagant, could be alleged by the sceptics capable of shaking it, I concluded that I might, without scruple, accept it as the first principle of the philosophy of which I was in search. (Rene Descartes)
Reality cannot be found except in One single source, because of the interconnection of all things with one another. ... It is a good thing to proceed in order and to establish propositions (principles). This is the way to gain ground and to progress with certainty. ... I hold that the mark of a genuine idea is that its possibility can be proved, either a priori by conceiving its cause or reason, or a posteriori when experience teaches us that it is a fact in nature. (Gottfried Leibniz, 1670)
The Truth is far more powerful than any weapon
of mass destruction.
('Mahatma' Mohandas Gandhi)
Quantum Physics - Einstein's Relativity - Cosmology - Mind - Discuss / Comment
Introduction: Truth Statements on Physical Reality
There is a widespread view that we cannot imagine physical reality. There is always a separation between our mind and ideas of the thing and the real thing in itself. This leads to the view that all words are merely metaphors, they relate to reality, but do not describe it. (Postmodernism)
I can now show you that this is not completely true. While there may be some things about reality we cannot imagine, in terms of physical reality (matter interactions in space) we can imagine these perfectly.
The solution is simple - matter is formed from waves in space. There are no 'particles', no particle-wave duality, instead there is a Spherical Standing Wave Structure of Matter (WSM) that causes the discrete particle effects. This is explained briefly below and in more detail in the WSM Physics Summary. The section on the mind explains how we can overcome the problems of language and metaphor by directly seeing and imagining spherical waves in space - how they must logically interact.
How can we know this is correct?
If you know physical reality then you would deduce many necessary truths about our world that could not be faulted - theoretical deductions would correspond to empirical facts - the central problems of knowledge would be explained and solved.
To show you that we can now do this I have written a series of truth statements. This provides a very concise summary of the things the Wave Structure of Matter (WSM) explains, while focusing any objections on precise truth statements.
When you read these statements try and find any that are not true. If you can then please;
i) Copy the truth statement.
ii) State your source of truth.
iii) Show how this deduces the truth statement is not true.
Please post it in Facebook connect.
A Very Short Summary of the Wave Structure of Matter!
First the error then the simple solution.
The Error relates to the metaphysical foundations of Physics, Newton's Mechanics, which tried to describe an interconnected dynamic reality in terms of many discrete inert matter 'particles'. This then required the invention of 'forces / fields' to connect the motion of these 'mass' particles in 'absolute space' and 'absolute time'. Newton (and Einstein) realised that this was just a mathematical solution that did not explain how matter is interconnected across the universe.
The
solution is obvious once known - just replace the motion of discrete
matter particles in space and time with the wave motion of space that causes
matter and time. (Schrodinger,
Wolff,
Haselhurst
WSM
theorists).
A series of spherical waves that flow in and out through the wave center
form a spherical standing wave around this central point in space - the
wave center that forms the 'particle'.
The spherical in and out waves are both necessarily connected to, and in
continual two way communication with all other matter (waves) in the space
around them. Matter is a wave structure of the universe.
(The wave structure of matter (WSM) is explained in more detail in the physics
section below.)
To keep this as short as possible I have not included quotes from the philosophers and scientists that support these truth statements. Instead I have linked to the relevant pages where you will find the quotes and a summary of their ideas.
I have separated the truth statements by subject - with an explanation
at the end of each section.
However, our minds are feeble and take time to adjust to new knowledge,
you will find this much easier to understand with a second reading.
The world around you does exist - the underlying foundations of this physical
reality are simple once known - just space and its wave motions.
The complications come from our mind, that our senses deceive us into seeing
solid separate bodies when in fact there is nothing but waves in space.
Geoff Haselhurst
Quantum Physics - Einstein's Relativity - Cosmology - Mind - Discuss / Comment
Truth Statements: Philosophy Metaphysics Science
1. We think therefore thinking things (minds) exist.
2. We all experience having a body.
3. We all experience our mind and body moving about in space.
4. We all experience many other minds and bodies (other humans) and many other material objects - but always interconnected in one common space.
5. To unite Science with Metaphysics we must describe Reality in terms of One thing we all commonly experience - Space.
6. Space (one substance) has properties.
7. Space (one substance) must be infinite (not bounded by another substance), eternal (not created by another substance), continuous (not contain another substance).
8. Light and matter have a particle / wave duality.
9. We cannot add particles to space.
10. We can add waves to space.
11. Space is a continuous wave medium that propagates waves.
12. Matter is spherical.
13. A spherical wave forms a 'point like / particle effect' at its wave center.
14. The electron is a spherical standing wave.
15. The wave center forms the 'particle' effect of matter.
16. The spherical in and out waves explain matter's dynamic activity and interconnection.
Comments: Philosophy / Metaphysics / Science
The truth statements begin by uniting metaphysics, philosophy and science.
Metaphysics - only one active substance exists that causes and connects the many things we experience (dynamic unity of reality).
Philosophy - the certainty that Rene Descartes gave to modern philosophy - we cannot doubt that we think, as we must first think to doubt.
Science - the principle of simplicity, Occam's Razor; and two sources of knowledge, empirical and logical.
From here we consider things that we all commonly experience with our thinking minds - seeking the one active substance (metaphysics) that we all commonly experience (science). This forces us to describe reality in terms of the one thing we all commonly experience as one thing - space.
Space, as the one substance that exists, must have properties to explain the interconnection and activity of matter. See Aristotle's Metaphysics. We state that Space has one property, it is an elastic wave medium that propagates waves (space may still have more properties to explain aspects of the mind).
Most importantly, there is still only one substance, space, and its wave
motions. i.e. The second thing we have added is motion, but it is the (wave)
motion of space - we are adding a property to space (it is an elastic wave
medium), not another substance. This is an important distinction that requires
careful thought.
Thus we move from a metaphysics of space and time (Newton)
or matter-energy in space-time (Einstein)
to a metaphysics of space and motion, where the wave motion of space causes
matter, energy and time. (Space is the one active substance that we were
seeking.)
This also explains why we cannot add discrete particles to space as this would be adding a second substance - and leads to the problem of how the discrete particles are connected together, how they move through space?
We then consider the shape (geometry) of these waves in space. We know
matter is spherical from the Lorentz
transformations and Einstein's
relativity. A series of spherical waves that flow in and out through
the wave center form a spherical standing wave around this central point
in space - the wave center that forms the 'particle'.
The spherical in and out waves, which form the wave center 'particle', are
both necessarily connected to, and in continual two way communication with
all other matter (waves) in the space around them.
Matter is a wave structure of the universe. (See wave diagrams below.)
Quantum Physics - Einstein's Relativity - Cosmology - Mind - Discuss / Comment
WSM Physics Summary: Physics and the Laws of Nature
From here we can show the Wave Structure of Matter (WSM) in Space is correct by deducing the Laws of Nature that have been empirically observed and quantified over the past several centuries. This changes the foundations of science from inductive (uncertain) to deductive (certain).
The mathematical physics is derived from wave equations in an elastic medium (space). The formula for the speed of waves in an elastic solid (space) is c2 = force / mass density, where force is proportional to wave amplitude, and the mass density of space is proportional to wave amplitude squared.
Importantly, this shows that the wave speed is non-linear (quadratic formula of square root of the amplitude) in relation to the amplitude of the wave. For those who find mathematics a bit of a struggle, well you just need to know two things.
i) Charge is due to wave amplitude interactions - where the higher the wave amplitude the faster the wave velocity (water waves and pendulums are like this too).
ii) Gravity is due to the mass density of space - the higher the mass density the slower the velocity of the waves.
Wave Diagrams: Spherical Standing Waves (Electrons / Positrons)
Below are some wave diagrams that help visualise matter interactions in space. Please realise that these diagrams are very simplistic. They show 2 dimensional circular cross sections of spherical waves, they show them magnified about a trillion times, and they do not show the true complexity - that any region of space contains the in and out waves from around 1080 wave center 'particles'. (There is a page of wave diagrams that is also useful for understanding the wave structure of matter.)
The wavelength of an electron is about 10-12 meters, i.e. there are about a thousand billion waves per meter, about a million million (trillion) wave center 'particles' in a pin head.
The frequency is about 1020 Hz (cycles / second) so they are vibrating very very quickly!! Given film shown in a movie theater is around 24 frames / second and appear as continuous motion, you then realise why we see matter as a continuous motion as well.
The wave velocity is the velocity of light c (300 million meters / sec) which equates to 1 second for your spherical in-waves to come in from the distance of the moon, about 8 minutes from the sun, 4 years from the nearest star, 100,000 years from across our milky Way galaxy, and about 15 billion years from across the observable universe.
The Motion of Matter through Space
Because we tend to imagine matter as made of inert solid 'particles' like billiard balls then we think of matter moving through space as the continuous motion of these 'particles'. Physical reality is not like this. Motion really applies to space, as the wave motion of space that causes matter (and time). The actual motion of matter 'particles' is the re-positioning of the wave center and is determined by the spherical in waves. Matter moves in discrete steps (this solves all the motion paradoxes).
Charge and Light
Because the wave amplitude increases near the wave center, the waves travel more quickly and have a longer wavelength. This is very important - it is the cause of all charge / electromagnetic interactions. The following diagrams explain this.
Waves in an elastic wave medium (space) travel faster
with higher wave amplitude, thus the high wave amplitude waves near
the wave center travel faster and have a longer wavelength. Therefore
for two electrons, their in waves travel more quickly through the other
wave center causing them to be advanced (a hollow on the surface of
the spherical in wave, similar to the surface of a golf ball) which
causes the wave centers to re-position away from one another. This is
the cause of charge and why like charges repel.
Matter and antimatter attract because the wave interactions are 180
degrees out of phase, thus the total wave amplitude is decreased and
the velocity of waves decreases (the opposite of above).
This also explains why matter and anti-matter annihilate due to destructive
wave interference.
Non-Locality and the de Broglie Phase Wave
The spherical in and out waves are local, meaning that matter interactions are limited to the velocity of the in and out waves which is the velocity of light c (as Einstein believed). However, Einstein could never understand how matter interactions could also be influenced by non-local phenomena that occur faster than the speed of light (see quantum physics and the EPR).
We can now understand this 'spooky action at a distance' (as Einstein called it) with the de Broglie phase wave that forms between two wave center 'particles' in relative motion. The phase wave is planar, and has a velocity of c2 / relative velocity. This is deduced by Milo Wolff from simple Doppler shifts of the in and out waves for relative motion.
Gravity
Gravity is just the slowing of waves in higher energy density space (where
there are more matter waves).
This rough diagram shows that the spherical in waves traveling through the
earth are slower than the waves coming in through space. This causes the
wave center to reposition towards the earth - the cause of gravity.
This explains how the earth orbits the sun, why light curves past the sun.
Because the energy density is the square of the wave amplitude, the phase
of the waves makes no difference, thus matter and antimatter (electrons
and positrons) both slow down the waves. This is why gravity is always attractive
(whereas charge depends on the wave amplitude and is opposite for opposite
phase wave interactions).
Cosmology
Given the Wave Structure of Matter the obvious question then arises:
"Where do the in waves come from that form our matter?"
The answer is simple - from the out waves of other matter around us in space (which is a direct consequence of Huygens' Principle). From this we can deduce that every wave center 'particle' is at the center of its observable universe within infinite space. The Cosmology page explains this in detail.
Summary of Physics Theories
| Theory | Space | Time | Matter | Light | Local Vs. Non-local Interactions | Deterministic Vs. Statistical |
| Newton's Mechanics | Absolute | Absolute | Discrete Particle | Discrete Particle | Non-local Gravity Force | Deterministic |
| Einstein's Relativity | Relative | Relative | Continuous Field | Electromagnetic Wave | Local - Velocity of Light | Deterministic |
| Quantum Physics | QVF ZPE QFT |
Absolute | Particle-Wave Duality | Particle-Wave Duality | Non-local | Statistical |
| Wave Structure Matter | Absolute Wave Medium | Absolute Wave Motion |
Spherical Standing Wave |
Wave. Discrete Resonance |
Local and Non-Local |
Necessarily Connected and Statistical |
NOTE: QVF = Quantum Vacuum Fluctuations. ZPE = Zero Point Energy. QFT = Quantum Field Theory |
||||||
Quantum Physics - Einstein's Relativity - Cosmology - Mind - Discuss / Comment
Truth Statements: Quantum Physics
1. Matter has a particle wave / duality - the wave center forms the 'particle'.
2. Light has a particle / wave duality - standing wave interactions (resonance) are discrete thus like a 'particle'.
3. Schrodinger's wave equations determine the discrete energy states of bound electrons due to discrete standing wave patterns.
4. Matter moves through space in discrete 'steps' due to the formation of each successive in wave.
5. Antimatter is the opposite phase standing wave (positrons have opposite phase to electrons).
6. In phase standing waves repel (like charges repel).
7. Opposite phase standing waves attract (opposite charges attract).
8. Destructive interference of opposite phase standing waves causes matter / antimatter annihilation.
9. Heisenberg's uncertainty principle is deduced from wave equations.
10. Probability waves are mathematical constructs caused by lack of knowledge of an interconnected system of spherical standing waves within infinite space.
11. When two spherical standing waves (electrons) are in relative motion you get Doppler shifts of the in and out waves that deduce both the de Broglie wave of quantum physics and the relativistic mass (frequency) increase of Einstein's special relativity.
12. The de Broglie phase wave is non-local where its velocity = c2 / relative velocity.
13. David Bohm's Non-Local Pilot Wave is the de Broglie phase wave.
14. Matter interactions (energy exchanges between wave centers) are local due to the velocity of the spherical in and out waves which is the velocity of light c.
15. The allowed energy states of matter (wave patterns of electrons in atoms / molecules) are non-local due to the de Broglie phase wave.
16. The ray diagrams in Feynman's quantum electrodynamics are mathematical constructs based upon spherical waves.
17. Interference for both light and matter in the two slit experiment occurs because both light and matter are made of waves.
18. Space has waves flowing through it from 1080 other spherical wave structures. These background wave oscillations explain quantum field theory.
Comments: Quantum Physics
Quantum physics is founded on wave equations. The problem was that they
began with Newton's particle foundations for physics, and further, that
charged particles (electrons) had electromagnetic fields which produced
electromagnetic waves when accelerated (Faraday,
Maxwell,
Lorentz).
Planck's
discovery of light quanta in 1900 led to the collapse of the electromagnetic
wave theory, the realization that the continuous electromagnetic wave is
an approximation of many discrete quantum events. Thus we now had light
as a 'photon
particle' and a continuous wave with the resultant confusion of the
particle
/ wave duality.
In fact Max Planck was correct in his assumption that electrons were resonators, the discrete phenomena due to resonance. In 1925 they finally discovered the wave properties of matter (de broglie, Schrodinger). Unfortunately, in 1926 Born discovered the probability wave interpretation of Schrodinger's wave equations and this led to a (mathematical) particle / probability wave interpretation (Bohr, Copenhagen Interpretation). Thus a pure wave structure of matter was ignored (to Schrodinger's frustration - he was convinced the waves were real).
The solution. Particles and their connecting forces / fields are just mathematical constructs (there are only waves in space) and discrete 'particle' effects are caused by discrete standing wave interactions.
The uncertainty found in quantum physics is true. To know the future position of the wave center requires knowledge of its in-waves over a greater volume of space - and in observing this you necessarily change the wave patterns.
Einstein realised that this probability was caused by lack of knowledge of an ensemble of interactions, but had the wrong foundation of continuous fields in space-time for his spatially extended matter. This is why Einstein could never understand the cause of discrete light quanta and the non-locality / EPR results with his continuous field theory of matter. Only with a wave structure of matter do you deduce the resonance that causes the discrete light quanta and the high velocity (non-local) de Broglie phase wave.
The velocity (V) of the faster than light de Broglie phase wave for relative
velocity (v) has been known since the 1920's, where V.v = c2.
Thus for relative motion of 1/100 c, the de Broglie phase wave has a velocity
of 100 c. However, no one knew the source of this de Broglie matter wave
and thus how it related to the non-locality of EPR.
Milo Wolff first deduced the Doppler shifts of the spherical in and out waves as the source of the de Broglie wave in the mid 1980's. The phase wave really does exist and does affect the velocity of the spherical in and out waves which cause it. This then determines the stable wave patterns that electrons can form when bound in atoms / molecules.
By realising that matter is a spherical spatially extended wave structure we now understand why light and matter have a particle-wave duality, why the uncertainty exists, why it is deduced using wave equations, why non-locality exists, why all of quantum physics is founded upon wave equations.
Quantum Physics - Einstein's Relativity - Cosmology - Mind - Discuss / Comment
Truth Statements: Albert Einstein's Theory of Relativity
1. A wave is an oscillation between two energy states of the wave medium.
2. As matter is made of waves, thus matter and energy are equivalent.
3. Wave Equations in an Elastic Medium Space deduce E = mc2, E= hf, F=ma.
4. Principle of Relativity - Because both light and matter are made of waves any change in wave velocity has a corresponding change in wavelength such that the wave velocity is always measured to be the same.
5. Lorentz Transformation - When matter is in motion it has an ellipsoidal shape.
6. Matter (wave centers) can never move faster than the velocity of their spherical in and out waves which create them - the velocity of light c.
7. Einstein's Special Relativity - When two spherical standing waves (electrons) are in relative motion you get Doppler shifts of the in and out waves that deduce both the relativistic mass (frequency) increase AND the de Broglie wave of quantum physics.
8. A spherical wave is 4 dimensional (Einstein's 4D space-time continuum).
9. Any change in the velocity of the spherical in waves (from one direction) causes a change in the position of the wave center when this spherical in wave meets at the wave center. (A 'force' accelerating a 'particle'.)
10. Einstein's general relativity - This change in wave velocity causes a change in the ellipsoidal shape of the 'spherical' in wave, thus there is a relationship between ellipsoidal geometry and acceleration.
11. Gravity is simply the slowing of waves in higher mass / energy density space.
12. Gravitational and inertial mass are equivalent because both are related to changing the velocity of the spherical / ellipsoidal in waves (force) which causes the re-positioning of the wave center (acceleration).
Comments: Einstein's Relativity
Einstein correctly realised that matter 'particles' were illogical and he tried to describe reality mathematically in terms of continuous matter-energy fields in space-time. However, this never explained the discrete and non-local phenomena of quantum physics. The solution is obvious, describe matter in terms of real waves in a continuous space, which explains both quantum physics and Einstein's relativity.
For space to propagate waves it must be able to store energy as potential and kinetic energy of space (an elastic / kinetic wave medium). This tells us that Space is fundamental (as one substance must be) and energy is a wave disturbance of space. i.e. There are two forms of energy, kinetic and potential energy - but both exist as states of one substance, space.
Why do we always measure the velocity of light to be the same irrespective of motion? Because any change in the velocity of waves in space has a corresponding change in the wavelength. As both matter and light are made from the same waves, thus any change in wave velocity and wavelength occurs for both light and matter such that the velocity of waves is always measured to be the same. This is the foundation of Einstein's special relativity and why the Michelson Morley experiment gave null results.
The four dimensional space-time continuum is really a spherical wave. The sphere is 3 dimensional and the wave motion (time) is the 4th dimension.
For any change in the velocity of waves (from one direction) the spherical
wave changes to an ellipsoidal shape, and this can be related to the repositioning
of the wave-center when this in wave arrives there (what we currently call
a 'force' accelerating a 'particle').
This is the foundation of Einstein's general relativity (gravity) and how
matter curves the four dimensional space time continuum (the mathematics
of Einstein's
general relativity is based on mathematics of Riemann that relates to
the curvature on the surface of a sphere).
This explains why light curves past the sun, how the earth can orbit the
sun, why gravity extends across the universe - because matter is a wave
structure of the universe.
Quantum Physics - Einstein's Relativity - Cosmology - Mind - Discuss / Comment
Truth Statements: Cosmology
1. The electron (wave center) is a finite spherical wave structure of the observable universe within infinite space.
2. The electron's in waves are formed from the out waves of other matter in their observable universe.
3. Mach's principle is true - the mass (wave energy) of an electron is determined by all other matter in their observable universe.
4. Every electron sees itself at the center of its observable universe in infinite space.
5. The equation of the cosmos deduces the size of the observable universe.
6. There are an infinite number of finite spherical universes within infinite space.
7. Redshift with distance occurs as there is less common overlap of each electron's finite spherical universe with distance that causes decreasing wave interactions with distance and thus decreasing energy exchanges (redshift).
8. Redshift with distance is quantised because wave interactions are quantised.
9. Our observable universe is not expanding.
10. The evolution of complexity occurs because the second law of thermodynamics only applies to closed systems (not infinite space).
11. We have limited freedom and limited determinism in a necessarily connected universe within Infinite Space.
12. Black holes and worm holes are mathematical constructs - infinite energy densities do not exist - time travel does not exist - faster than light travel does not exist.
13. The motion of galaxies at the edge of our observable universe is determined by matter outside our observable universe (they will be at the center of their observable universe within Infinite Space).
Comments: Cosmology
As stated above, Space, as one substance existing, is necessarily infinite and eternal. The electron is a spherical standing wave in this space. The wave center forms the 'particle' effect, the spherical in and out waves explain how matter is in continual two way communication with other matter (waves) in the space around it.
The obvious question then arises: "Where do the in waves come from that form our matter?"
The answer is simple, from the out waves of other matter around us in space (which is a direct consequence of Huygens' Principle). From this we can deduce that every wave center 'particle' is at the center of its observable universe within infinite space.
Most importantly, when you deduce this you find that each wave center only receives waves from a finite amount of other matter - thus the energy of matter is finite. See the Equation of the Cosmos. This also means that the size of matter is finite - matter is the size of its finite spherical observable universe within infinite space.
This explains why when we look around us in space we see that we are surrounded by other matter (planets, stars, galaxies, galaxy clusters, etc.) and that we seem to be at the center of our observable universe. The WSM cosmology deduces that this is true wherever you are in infinite space.
NOTE: To avoid confusion I use the term observable universe rather than universe. Our observable universe exists as a finite spherical region of infinite eternal space. We can only see and interact with other matter within our observable universe.
I have just re-written the Cosmology page. It is a good concise essay, so rather than adding more comments here it is better to just go and read it.
I do want to make one important point here though. The last truth statement is actually a prediction that contradicts Big Bang theory. The WSM cosmology predicts that the motion of distant galaxies will behave as if there is matter all around them, whereas in the big bang cosmology there would only be matter on one side (the inside, as there is no 'outside').
This prediction was made in 2003. You can use the wayback machine to view our cosmology page dated 11th of February 2003 to confirm this (see section 1.6).
https://web.archive.org/web/20030211123857/https://spaceandmotion.com/Cosmology.htm
This was confirmed by observation of distant galaxies in 2008 (and was subsequently attacked and dismissed by Big Bang cosmologists - for the obvious reason that it contradicts Big Bang cosmology).
ScienceDaily (Sep. 24, 2008) -- Using data from NASA's Wilkinson Microwave Anisotropy Probe (WMAP), scientists have identified an unexpected motion in distant galaxy clusters. The cause, they suggest, is the gravitational attraction of matter that lies beyond the observable universe.
"The clusters show a small but measurable velocity that is independent of the universe's expansion and does not change as distances increase," says lead researcher Alexander Kashlinsky at NASA's Goddard Space Flight Center in Greenbelt, Md. "We never expected to find anything like this. .. The distribution of matter in the observed universe cannot account for this motion."
Journal reference: A. Kashlinsky, F. Atrio-Barandela, D. Kocevski, H. Ebeling. A measurement of large-scale peculiar velocities of clusters of galaxies: results and cosmological implications. Astrophysical Journal Letters, Print edition October 20, 2008; online week of September 22, 2008. https://www.sciencedaily.com/releases/2008/09/080923104410.htm
Quantum Physics - Einstein's Relativity - Cosmology - Mind - Discuss / Comment
Truth Statements: Mind
1. Our mind (and body) did not always exist - we are born, we age, we die.
2. Our mind (and body) display traits that can only be understood with Darwinian Evolution.
3. Our mind is always in motion because reality is in motion (the wave motion of space).
4. Our mind has logical knowledge because interconnected repeating wave motions behave logically.
5. Our mind has empirical knowledge because of the spherical in-waves.
6. Our mind (and body) has limited freedom, limited determinism in a necessarily connected universe.
7. Our mind has a creative imagination.
8. Our mind can imagine physical reality - the wave structure of matter in space.
9. Our mind can deduce absolute truths from physical reality that correspond to empirical truths that we all commonly experience (Science).
10. While words may be metaphors, the word space does correspond to a real substance that we all experience existing in - this space around us.
10. Our mind and body are wave structures of the observable universe within infinite space.
Comments: Mind
There is a common belief that we cannot know the external world - there
is always a separation between our ideas of things and the thing in itself
(see Berkeley,
Kant,
Postmodernism).
While we did not know reality this seemed to be the prudent skeptical position
to take.
However, we can now show that our minds can imagine matter interactions
in space perfectly - they are just wave interactions.
Now people immediately claim - ah! but all words are merely metaphors, this is no different.
With thought though you realise that we don't even need words to describe the wave structure of matter - you can visualise spherical waves in your mind, how they must interact. Spherical waves can be displayed in holograms and rendered on computer screens allowing you to see how reality works, with no need for metaphorical language, thus overcoming its limitations.
The question then becomes, how can a wave structure of matter explain the
mind, its sources of knowledge, its ability to imagine things?
The following three pages explain some important aspects of the mind.
Philosophy of Mind - Deducing that our mind evolved from the real world around us of waves in space. This shows that we are (amazing) structures of the universe - where mind, matter and space are one extended interconnected dynamic thing. This also explains how we can have knowledge of the world around us, how we can store this knowledge logically, and how we can process knowledge from both our senses and our memory to create our consciously aware mind.
Free Will Vs. Determinism - How we can have limited freedom and limited determinism in a necessarily interconnected reality of waves in infinite space.
The Insanity of Humanity - A list of some of the obviously insane things that humanity is doing to life on earth, and some of the most common forms of insanity - naive realism, idealism, postmodern skepticism, religious dogma.
There is still much to learn about the mind (and the body). It is complex
because we are structures of the universe, and the universe is very complex.
e.g. Just one electron / wave center exists in a sea of waves from 1080
other matter waves in our observable
universe!
These wave centers evolve incredibly complex wave patterns that form the
apparently solid objects we observe as matter in the space around us, that
explain the foundations of evolution, life and mind in the universe.
But now we have a physical foundation to work from in exploring the mind - and physical reality has always been the source of truth and wisdom. As Popper writes.
In my opinion, the greatest scandal of philosophy is that,
while all around us the world of nature perishes - and not the world of
nature alone - philosophers continue to talk, sometimes cleverly and sometimes
not, about the question of whether this world exists. They get involved
in scholasticism, in linguistic puzzles such as, for example, whether or
not there are differences between 'being' and 'existing'. ...
Denying realism amounts to megalomania - the most widespread occupational
disease of the professional philosopher. (Popper, 1975)
Quantum Physics - Einstein's Relativity - Cosmology - Mind - Discuss / Comment
Discussion Guidelines / Sources of Truth
To provide a meaningful discussion we agree to the rules of metaphysics, philosophy and science. Thus one substance must exist with active properties (dynamic unity of reality) to cause and connect the changing world of our senses in a logical manner.
Here we have deduced that this substance must be space, and that matter is formed from wave motions of this space. This is our source of truth - this space that we all commonly experience around us does exist.
If any truth statement is not true can you please copy it, state your source of truth, how this shows the statement is wrong and post it in Facebook connect.)
There are two sources of truth used - these being the foundations of science.
i) Things that we all commonly experience.
ii) Logic deduced from this.
Since the wave structure of matter (WSM) in space is the most simple science theory you cannot appeal to other more complex science theories without first showing that the WSM does not explain, or is contradicted by, some empirical fact, that then requires this more complex theory.
Thus the only source of truth valid to the most simple science theory of physical reality is empirical facts - does the WSM correspond to our experience of physical reality, does it deduce the laws of Nature correctly as observed.
It has taken me 20 years of study of physics, philosophy and metaphysics to learn enough to write the above truth statements. They clearly show that we can understand physical reality - this is why we can deduce the solutions to so many problems of knowledge (irrespective of what postmodernism claims).
Please think carefully about this - humanity has many errors that are destroying
life on earth.
Our survival (the survival of our children) depends upon wisdom derived
from truth and reality.
Please feel free to leave comments below.
Sincerely,
Geoff Haselhurst
"The resistance to new ideas increases by the square of their importance"
(Russell's Law)
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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