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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.
Summary of Wave Structure of Matter (WSM)
Wave Diagrams & Frequently Asked Questions (FAQ)
Hi Everyone,
This is an old page which will be converted into 'Frequently Asked Questions'
over time. See the links at the side of page.
Cheers,
Geoff Haselhurst
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)
Brief Summary: Wave Structure of Matter (WSM)
The Wave Structure of Matter is a very simple and sensible way of describing reality that clearly corrects a lot of past errors and problems of human knowledge.
Basically summarised, the current science paradigm of representing matter
as discrete 'particles' that generate 'fields'
in 'space-time', while useful, is only an approximation
of reality, and it causes numerous problems because of this. (This is well
known, and explains the academic foundations of our postmodern culture of
no absolute truths).
To correct these errors it is necessary to reject the 'particle' conception
of matter (as Einstein did, see below) and describe matter in terms of Spherical
Standing Waves in Space that cause the particle effect at their
Wave-Center.
The Metaphysics of Space and Motion and the Wave Structure of Matter
is founded on One Principle which describes One Substance, Space,
and its Properties as a Wave-Medium. Matter
Exists as Spherical Standing Waves in Space.
The discrete 'particle' effect of matter is formed by the
Wave-Center of the Spherical Standing Waves.
Time is caused by wave Motion (as spherical
wave motions of Space which cause matter's activity and the phenomena of
time).
Forces / Fields result from wave interactions of the Spherical
In and Out Waves with other matter in the universe which change the location
of the Wave-Center (and which we 'see' as a 'force accelerating a particle').
Effectively we are combining the Absolute Space assumed by Newton (1678) with the spherically spatially extended structure of matter as assumed by Albert Einstein in his Theory of Relativity (1905 - 1916) and the scalar wave properties of matter discovered by Schrodinger and de Broglie (foundations of Quantum Theory, 1928).
Two further points are important here to correctly understand these central concepts of the Wave Structure of Matter.
Firstly, Newton's Absolute Space was considered a 'background' reference
frame for the motion (and acceleration) of matter 'particles'. Thus in Newton's
Space matter did not affect Space (matter was somehow separate as 'particles').
Einstein rejected the 'particle' conception of matter and tried to unite
matter and Space (and time, gravity) as one thing, by representing matter
as continuous spherical fields. So in Einstein's relativity matter does
affect Space, as matter and space are united (i.e. matter is spherically
spatially extended and represented as a spherical field).
The Wave Structure of Matter agrees with Einstein, Matter and Space are
one and the same thing (there are no 'particles'), and thus matter does
affect space and its properties. The central difference is we are describing
matter in terms of Spherical Waves in Continuous Space,
rather than Einstein's (failed) field theory of matter as Continuous
Spherical Fields in Space-Time.
Secondly, and this is mainly to physicists, it is important to recognise that there are two very different types of waves used in physics, the vector electromagnetic waves developed by Maxwell, which describe both a quantity and direction of force, and the Scalar waves of Quantum Theory, which are described by a Wave Amplitude only. The Wave Structure of Matter, which describes matter as Spherical Waves in a physically real Space, requires the use of the Scalar Waves from Quantum Theory (as Physicists would know, there are no spherical solutions for vector electromagnetic waves - which is why Richard Feynman had such problems!)
Unity of Reality
Significantly, we are describing reality from One thing, Space, and its properties as a Wave Medium, rather than from Many things, Matter, and their properties of generating Fields. There are two reasons why this unity of reality is important.
Firstly, Metaphysics is founded on the Principle that the many things we experience must somehow be inter-connected by One thing that causes and connects them. And this is not an abstract academic idea, it is just confirming our experience of the world (look around you and think about how you are connected to these other objects that you see in Space). I have many quotes on this unity of reality (it is the central foundation of both philosophy and metaphysics since the time of Ancient Greek and Indian philosophy) but Leibniz summarises it most concisely.
Reality cannot be found except in One single source, because of the interconnection of all things with one another. (Gottfried Leibniz, 1670)
Secondly, and this relates to Science, there is the fundamental principle of simplicity, Ockham's razor, where the theory that describes the most things from the least assumptions is the best theory. And it is clear to anyone who takes the time to consider this, that the Wave Structure of Matter, by being founded on One thing existing, Space, and its wave motions that form matter, is the most simple way of describing reality. The scientific measure of its truth is to then show that it deduces correctly what we observe from observation and experiment, which then takes us to the pioneering work of mathematical physicist Dr Milo Wolff, who has deduced many of the central laws of modern physics from this most simple foundation for the Sciences, the Wave Structure of Matter.
Physics and the Wave Structure of Matter in Space
This short summary is written with Scientists in mind, and explains some of the central ideas of Physics and how they can be better understood from this foundation of the Metaphysics of Space (existing as a continuous Wave-Medium) and the Wave Structure of Matter (WSM).
Modern Physics evolved from Newton's Mechanics, and is still largely founded on the concepts of particles and fields in space and time. Further difficulties arise because both light and matter exhibit a particle / wave duality, and there are two main fields, charge (electromagnetic) and mass (gravitational / inertial). While this is still a little simplistic, it makes the point that we have a number of different concepts without any clear understanding of how they are connected. This causes numerous problems for Human knowledge (and society), as we do not understand the necessary connections between these many things we experience. And as David Hume made clear, without this knowledge of necessary connection between things that exist we can have no causal theory of knowledge, leaving the Sciences founded on Induction from repeated observation which is always uncertain (rather than deduction from metaphysical principles which is certain);
Experience only teaches us, how one event constantly follows another; without instructing us in the secret connexion, which binds them together, and renders them inseparable. (David Hume)
So how do we solve these problems? I think the simplest way to explain this is to list these central concepts of physics, show which path Albert Einstein took to try and unite them from a common foundation (which he failed to do), and then demonstrate from the most simple foundation (founded on One thing Space existing as a Wave Medium) how we can finally unite these concepts in a meaningful way that describes reality without paradox or contradiction. Now I know that most of you will be very skeptical of such a big claim, but the solution is pretty simple and obvious once known so I hope you will persevere (and it is concise / short!).
Central Concepts of Modern Physics
Newton's Mechanics - Space,
Time, Matter as Particles
with 'Mass', Force = Mass
by Acceleration.
Continuous Electromagnetic Field Theory (Faraday,
Maxwell, Lorentz, Einstein / Relativity) - Matter as Particles with 'Charge',
Continuous Spherical Electromagnetic Fields,
Light as Vector Electromagnetic Waves, Gravitational
Fields (local theory - all matter interactions limited by velocity
of light c)
Discrete Quantum Theory (Planck, Einstein, de Broglie,
Schrodinger, Born) - Light as Discrete Particles
(Photons), Scalar Waves,
Probability Waves, Particle
Wave Duality (Light & Matter), Quantum Entanglement
(apparently non local theory - appear to be instantaneous matter interactions).
While this is still a little simplistic, you can see how confusing Physics becomes when you have so many concepts, some of which clearly contradict others (e.g. light and matter behave as both particles and waves, discrete particles and continuous fields, local and non local interactions). Albert Einstein attempted to simplify this mess with his 'field theory of matter' where he discarded the 'particle' concept and tried to represent matter as spherical fields in space-time, as he writes;
Physical objects are not in space, but these objects are spatially extended (as fields). 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)
When forced to summarize the general theory
of relativity in one sentence:
Time and space and gravitation
have no separate existence from matter. (Albert Einstein)
Now there are a number of Problems with Albert Einstein's Field Theory of Matter, as he was well aware, and which, late in his life, caused him to write to his friend Michael Besso expressing his frustration;
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)
In hindsight it is easier to understand Einstein's error - the clue is that Quantum Theory's discovery of the wave properties of matter did not occur until 1928, whereas Einstein's continuous electromagnetic field foundations were developed from 1905 to 1916 based largely on the ideas of James Clerk Maxwell (Maxwell's Equations, 1870s) and Lorentz's Theory of the Electron (1900). So basically his mistake was to work with fields in space-time (mathematical) rather than real waves in Space (physical), largely because he did not have knowledge of the Wave properties of matter when he developed his Theory of Relativity.
In terms of the Metaphysical
foundations of Physics, the central error has been to try and describe
reality from the Many material things we experience, matter
'particles'. (i.e. Science, which is empirically founded). And even though
Einstein rejected the 'particle', his field theory of matter is still founded
on this priority of matter (that matter's field interactions cause the effect
of space and time).
However, Metaphysics has known for several thousand years that it is necessary
to describe reality from One thing existing to explain
matter's interconnection in Space and the Universe. As Aristotle, Leibniz
and Bradley write;
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, both in its essence and in the
properties which, just as a thing that is, it has. (Aristotle,
340BC)
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. (Gottfried Leibniz, 1670)
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. (Bradley, 1846-1924)
By abiding by this central rule of Metaphysics and describing Reality in Terms of One thing existing, Space, and its Properties as a Wave Medium for Spherical Standing Waves that form Matter, we find a very simple solution to all of the above problems of Physics (again this is a big claim, but this website does explain many of these things). Basically Einstein is correct, Matter is a Spherically Spatially extended structure of Space (there is no 'particle') though most importantly we have simplified Einstein's ideas from;
Matter as Continuous Spherical Fields in Space-Time
to
Matter as Spherical Waves in Continuous Space.
Significantly, we have now decreased the number of concepts from Einstein's 5 (continuous, spherical, fields, space, time) where there is no clear understanding of how they are connected, down to 4 concepts (spherical, waves, continuous, space) where we can clearly connect these four things back to One thing existing, Space, and its Properties as a Wave Medium for Spherical Waves that form matter. And after you have studied philosophy and metaphysics for a while, you come to realise that this solution to the most central and profound of all problems, the Problem of the One and the Many, of how the many things are caused and connected by the One thing then enables you to explain and solve numerous other problems that this lack of knowledge of necessary connection caused.
And from this dynamic unity of reality it is quite simple to show that:
The discrete 'particle' effect of matter
is caused by the Wave-Center of the Spherical Standing
Waves (the diagram shows that this is an obvious solution to the particle
/ wave duality of matter!).
The discrete 'particle' effect of light
is caused by discrete Standing Wave Interactions / Resonant
Coupling.
Time is caused
by Wave Motion (as spherical wave motions of Space which
cause matter's activity and the phenomena of time).
Forces / Fields are caused by wave interactions of the
Spherical In and Out Waves with other matter in the universe which change
the location of the Wave-Center (and which we 'see' as a 'force accelerating
a particle').
Quantum Entanglement is likewise caused by the Interaction
between the In and Out-Waves and all the other matter in the universe, thus
matter is always subtly connected to other matter in the universe (i.e.
matter is large not small, we only see the Wave-Center and have been deceived
by its 'particle' effect). However, Einstein's 'Locality' is correct, all
matter to matter interactions are limited by the velocity of Waves in Space.
Of most significance (the real beauty of this solution) is that not only does it solve the problems of Albert Einstein's Theory of Relativity, but it also solves the basic problems of Quantum Physics (Quantum Theory / Wave Mechanics (founded on Wave Equations) and Cosmology (uniting finite matter & universe with infinite eternal space - The Big Bang Theory being founded on a basic error). See below for more details.
Quantum Physics (Quantum Theory / Wave Mechanics) Summary
Quantum Physics (Quantum Theory / Wave Mechanics) - From 1900 to 1930 there was a revolution in the foundations of our understanding of light and matter interactions. In 1900 Max Planck showed that light energy must be emitted and absorbed in discrete 'quanta' to explain blackbody radiation. Then in 1905 Albert Einstein showed that the energy E of light is determined by its frequency f, where E=hf. Finally, in the mid 1920s, Louis de Broglie and Erwin Schrodinger introduced the concept of Standing Waves to explain these discrete frequency and energy states of light and matter (standing waves only exist at discrete frequencies and thus energy states). So it is clear that Waves are central to Quantum Physics and our understanding of the structure and discrete energy states of both Light and Matter (which explains why Quantum Theory is also called Quantum Wave Mechanics). This is only a very simplistic summary (the probability / non-locality problems have not addressed), but it is enough to start with, the above pages provide more detailed explanations of these further 'strange' aspects of Quantum Physics.
What I find strange though, is that while the discrete energy states of light and matter were calculated using standing wave equations, only recently (Wolff 1986, Haselhurst 1997) has there been any effort to consider a pure Wave Structure of Matter. i.e. To discard the discrete 'particle' concept and explain the 'particle' properties of light and matter in terms of spherical standing waves and their interactions (which only occur at discrete frequencies f which then explain the discrete energy quanta E where E=hf). When we do this we find very obvious and simple solutions to many of these Quantum Physics problems.
Basically it seems that this 'strangeness' of quantum theory has been caused by the continuing assumption of the discrete 'particle' concept for both light and matter, and thus the resulting paradox of the 'Particle / Wave' duality. This has contributed to our current postmodern world view that it is impossible for us to ever correctly understand and describe physical reality (Bohr, Heisenberg). Thus a solution to these problems, founded on this new paradigm of the Metaphysics of Space (existing as a continuous Wave Medium) and the Wave Structure of Matter is clearly a significant discovery.
Cosmology Summary
Cosmology - The Wolff-Haselhurst Cosmology explains a Perpetual Finite Spherical Universe within an Infinite Eternal Space. The Spherical Standing waves determines the size of our finite spherical universe within an infinite Space (Matter is large not small, we only 'see' the Wave-Center / 'particle' effect which has greatly confused physics). Huygens' Principle explains how other matter's out waves combine to form our matter's spherical In-Waves, which then deduces both Mach's Principle and the redshift with distance (without assuming Doppler effect due to an expanding universe / Big Bang). This also explains how matter interacts with all other matter in the universe (why we can see stars) as matter is the size of the universe, but we only 'see' the high wave amplitude wave-centers / 'particles'.
Metaphysics Summary
On the Metaphysics of Space and Motion and the Wave Structure
of Matter (WSM)
By describing Reality from One Thing (Space) existing
with the Properties of a Wave-Medium,
we find that we can explain and solve many of the fundamental problems of
Metaphysics (and thus Philosophy, Physics and Theology).
By realising that Matter is formed from Spherical
Standing Waves in Space (rather than discrete particles & forces
in Space-Time) we connect the many things (Matter, Time and Forces), back
to One thing, Space and its Wave Motions. It is this wave motion
of Space that causes matter's activity and the phenomena of Time.
This solves the fundamental Problem of the One and the Many by moving from
the Metaphysics of Space and Time (founded on four separate things) to the
Metaphysics of Space and Motion (founded on One Thing, Space).
From this new metaphysical foundation and language for describing Reality
(which is in fact the most simple possible scientific theory as it is founded
on One Thing) we can then understand and explain the foundations of Absolute
Truth, i.e. Necessary Connection, Logic, Reason, and Certainty, which then
explain and solve many problems of Human Knowledge very simply and sensibly
(see articles below).
Founded on Ideas of Heraclitus, Plato, Aristotle, Descartes, Newton,
Leibniz, Spinoza, Huygens, Berkeley, Hume, Kant, Einstein, Planck, Schrodinger,
de Broglie, Feynman, Wolff, Haselhurst.
Concluding Remarks
Clearly, if this knowledge of the Wave Structure of Matter is correct,
then it is very important to Humanity, and has the power to solve many of
our problems, both in the spheres of human knowledge, and how we are to
live on Earth (without destroying ourselves and the Nature which created
us and upon which we depend). As I see it, the world needs our help, and
this help must be founded on the Truth, not just our good intentions, if
it is to actually work and make things better.
In a busy world I urge people to take the time to read and think about the
Wave Structure of Matter. Truth and Reality are not only fascinating subjects,
they describe what we really are as Humans, how we have evolved to exist
as matter in this Space of the universe, and thus offer great wisdom as
to how we should live here on our fragile and most amazing little planet,
our dear Earth and its wonderful diversity of life.
Sincerely,
Geoff Haselhurst
Frequently Asked Questions (FAQs)
on the Wave Structure of Matter (WSM)
1. What is a spherical standing wave?
A wave is a disturbance of a medium - an oscillation between 2 energy states. In reality there is just one medium, space. It is a wave medium, the wave oscillates between kinetic / motion energy and elastic / potential energy. This is why matter and energy are equivalent. A standing wave is formed from two waves of the same wavelength travelling in opposite directions. For matter we require a spherical wave (matter is spherical). Thus the spherical wave must flow through the wave center 'particle' and interact with the in wave from the other side. This is true in all directions about the wave center and forms a spherical standing wave around the wave center 'particle'.
2. If everything is a wave, why can’t my body walk through a wall without damaging the wall or myself?
The wave amplitude at the wave center is very high, and this causes the wave velocity to be higher. Thus when you get two wave centers near one another then the wave interactions become significant and cause the in waves of each wave center to travel faster through the other wave center. This causes the wave centers to re-position away from one another (charge - like charges repel).
3. How do waves form solid bodies?
4. How do you explain the
How do waves form a particle?
What is the Wave Structure of Matter (WSM)?
What is the history of the Wave Structure of Matter?
How is the Wave Structure of Matter different from other science theories?
Why is the Wave Structure of Matter the most simple science theory for describing Physical Reality?
What does the Wave Structure of Matter explain?
How do we know the Wave Structure of Matter is true?
Why is the Wave Structure of Matter important?
How does the Wave Structure of Matter explain the human mind?
How does the Wave Structure of Matter explain the problems of Quantum Theory?
Cosmology
What does WSM say about the Big Bang theory?
WSM is founded on only one substance existing, space. This space is a wave medium and has waves flowing through it (vibrating space if you like). describes an infinite eternal system of waves in space. Nothing created it (which is illogical), space and its wave motions have always existed. The big bang is a 'particle' concept based upon an incorrect interpretation of the redshift with distance. See Cosmology pages.
Where do the In-Waves come from?
Albert Einstein's Theory Relativity
Philosophy
Metaphysics
Evolution of Life
Theology God Religion Spirituality
Definitions: The Wave Structure of Matter (WSM)
Energy:
Force:
Gravity:
Light:
Mass:
Matter:
Motion:
Particle:
Photon:
Scalar Waves:
Space:
Spherical Standing Waves:
Spherical In Wave:
Spherical Out Wave:
Time:
Universe:
Vector Waves:
Velocity:
Wave Amplitude:
Wave Center:
mass-energy density:
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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