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.
The Re-Birth of Philosophy
On Physical Reality, Metaphysics, Active Substance, Causal
Connection, Truth & Wisdom
(May, 2011) Dear Academic Philosophers,
There is an interesting conjunction of events on this mailing list and around the world that cause me to write to you now – all related to the concepts of ‘truth, physical reality, metaphysics and the death of philosophy. i.e. Hawking's comments, closure of philosophy departments, problems faced by humanity, cycles in knowledge – combined with a very interesting discovery I stumbled upon a few weeks ago that completes an idea I have had for 14 years – that the electron and positron were simply opposite phase spherical standing waves in space.
Let me very briefly introduce myself, and then make a few comments about
metaphysics and the death of philosophy, as this relates to this discovery
that I believe solves these problems.
I am a natural philosopher. I live in Nature on the SW coast of Australia.
I am probably most influenced by Einstein, Aristotle and Hume, but find
all the philosophers delightful to read. I guess I am one of those naive
philosophers that agrees with Hume; "And though the philosopher may
live remote from business, the genius of philosophy, if carefully cultivated
by several, must gradually diffuse itself throughout the whole society,
and bestow a similar correctness on every art and calling."
I have been on your philosophy mailing list for many years (5+) and have
literally read thousands of your posts.
And many times I have thought to myself; ‘How do I write to busy professional
/ academic philosophers and explain to them that physical reality is actually
very simple and obvious once known.’
The problem is that we are all genetically programmed to be culturally programmed (the herd instinct, believe in the ideas of your tribe, it has survived thus far) or as someone said on this mailing list a few years ago; "Rare is the person who can see things differently from their times." So I realise I am writing to an 'academic philosophy tribe' that shares many common beliefs (postmodernism) that I am convinced are blinding you to obvious truths, and I have the difficult task of trying to make you see these errors, to free you all from your 'dogmatic slumbers'!
The Errors in the Evolution of Metaphysics and Physics
With Kant and Hume in mind, let me quickly make a few points about the
errors that have occurred in the evolution of physics and metaphysics that
have confused us. Then we can look at the solution to these problems (which
is very simple).
It seems that we have evolved survival driven, sense based minds that construct
an image of our interconnected world to us in terms of many solid separate
objects (we have evolved to survive, not be metaphysicists!). What we call
the naive real world (that the masses live in and never really question).
Unfortunately (because it misled us), this naive real conception of matter
as discrete particles, as formalized in Newton's mechanics, actually works
pretty well. Basically you replace causal connection of one active substance
(metaphysics) with a maths equation and an equals sign, i.e. F=ma. (And
I read a long time ago that European philosophers of the time strongly disliked
Newton's magical forces between separate things and their action-at-a-distance,
obviously Leibniz, but I can no longer find the article, does anyone have
any references? However, as Einstein pointed out - due to its success over
time everyone just got used to this and stopped questioning it - which is
one reason why philosophy is important to physics, why Einstein was such
a great physicist!)
So Newton's mechanics is clearly a mathematical description of reality that is missing causal connection. Newton knew this, stating;
"It is inconceivable that inanimate brute matter should, without mediation of something else which is not matter, operate on and affect other matter without mutual contact. ... That gravity should be innate, inherent and essential to matter, so that one body may act upon another at-a-distance, through a vacuum, without the mediation of anything else by and through which their action may be conveyed from one to another, is to me so great an absurdity that I believe no man, who has in philosophical matters a competent faculty of thinking, can ever fall into it. ... So far I have explained the phenomena by the force of gravity, but I have not yet ascertained the cause of gravity itself. ... and I do not arbitrarily invent hypotheses. (Newton. Letter to Richard Bentley 25 Feb. 1693)
Thus we have this delightful puzzle of being blind to the causal connection between things (metaphysics) that reason tells us must exist to explain the real interconnected world. Hume, always beautifully elegant, states this nicely;
"When we look about us towards external objects, and consider the operation of causes, we are never able, in a single instance, to discover any power or necessary connexion; any quality, which binds the effect to the cause, and renders the one an infallible consequence of the other. There is required a medium, which may enable the mind to draw such an inference, if indeed it be drawn by reasoning and argument. What that medium is, I must confess, passes my comprehension; and it is incumbent on those to produce it, who assert that it really exists, and is the origin of all our conclusions concerning matter of fact. This question I propose as much for the sake of information, as with an intention of raising difficulties. I cannot find, I cannot imagine any such reasoning. But I keep my mind still open to instruction, if any one will vouchsafe to bestow it upon me." (David Hume, 1737)
The point I want to make is that this discrete particle view of reality now has both an evolved mind bias, and an evolved cultural / theoretical bias to it (Newton's mechanics) that tend to influence our thinking without us even realising.
With this in mind I can show you a very important error Kant made in response to Newton and Hume. Kant writes;
"There are two pure forms of sensible intuition, as principles of knowledge a priori, namely space and time."
This is not correct, the error is shown below where he writes;
"... even that of motion, which unites in itself both elements (Space and Time), presuppose something empirical. Motion, for example, presupposes the perception of something movable. But space considered in itself contains nothing movable; consequently motion must be something which is found in space only through experience - in other words, is an empirical datum."
The error? That 'space considered in itself contains nothing movable'.
Now you can see what has happened - Kant is only considering motion as applied
to the motion of matter particles in space and time. This particle conception
of matter has blinded him to the obvious truth you could have space moving
/ vibrating - the wave motion of space.
And this error then leads Kant to conclude that;
"...in respect to the form of appearances, much may be said a priori, whilst of the thing in itself, which may lie at the foundation of these appearances, it is impossible to say anything."
So we could probably agree with this if we added "this is the conclusion you come to if you try to describe an interconnected reality with many discrete and separate things, particles moving in space and time."
These errors have had a lot to do with the downfall of metaphysics (and
philosophy and physics and society!). We have created a 'straw man metaphysics',
Newton's mechanics, and these particle conceptions have carried over into
the the mathematical structures of the standard model of particle physics
and the big bang. Yet it is obvious these theories are not correct - they
never were, as their foundations were always contrived (and physics is getting
more absurd with time because of this).
However, rather than discarding metaphysics and giving up on absolute truths
(postmodernism, metaphysics does not work) the correct reasoning is to go
back and correct the errors that led to this problem in the first place
(obviously).
This says a lot about the death of philosophy to me – since her birth was to discover these absolute truths about reality such that we could have certainty of knowledge – the foundation for wisdom.
Metaphysics of Space and Wave Motion
Now to the important part, the fixing up of metaphysics and the solution
to physical reality and the necessary truths derived from this - which I
think will actually solve most of our problems over time.
As required, I will state what exists (metaphysics), then show how you can
deduce all the main equations of modern physics from this (the maths has
been done – I just recently worked out the metaphysical foundations).
"Three dimensional space exists and has plane waves flowing through it in all directions."
To answer Hume's question of the required medium for causal connection, well it is space, it is a wave medium. And we all experience existing in this space (e.g. the space your universities exist in, the space of your lecture halls, the space you drive your car through, the space of your body). Being one substance it must also be infinite, eternal and continuous (not bound by, created by, or contain a second substance). The waves have the velocity of light, a wavelength of around 10^-12 meters, frequency of 10^20 Hz (they are matter waves, not light waves).
Hume's following comment about simplicity is also important (and charming);
"We find in the course of nature that though the effects be many, the principles from which they arise are commonly few and simple, and that it is the sign of an unskilled naturalist to have recourse to a different quality in order to explain every different operation."
In terms of simplicity and scientific validity, I think you can also deduce this is the most simple science theory for describing matter interactions in space, but rather than argue the point I will just emphasize that this wave structure of matter (WSM) brings science (simple, empirical, logical) into harmony with metaphysics (causal connection from one active substance) thus it should obviously be considered and tested (and it is odd that this was not considered a long time ago).
Complex Quaternion Wave Functions and the Solutions of Intersecting Plane Waves in Space
And now to the very clever part – we have our one active substance, vibrating
space – but where do the many matter ‘particles’ come from? i.e. The problem
of the one and the many so central to metaphysics and philosophy.
The solution is elegantly simple – when you analyze the wave patterns that
naturally arise from these plane waves using complex quaternion wave functions,
you find space vibrates in two completely different ways – that exactly
match the 'particles' and 'quantum fields' we experience in this space around
us. i.e.
BACKGROUND SPACE (QUANTUM FIELD VIBRATIONS) - Space vibrates in a fixed (but very complex) vector / transverse wave pattern in all directions.
PARTICLE VIBRATIONS (ELECTRONS & POSITRONS) - Space vibrates spherically around a central point - a scalar longitudinal spherical standing wave.
Of profound importance is the fact that there are exactly four unique phase
arrangements of the plane waves such that all the vector / transverse wave
components cancel one another and you are left with this scalar / longitudinal
spherical standing wave (space vibrates radially in and out around a central
point - what we call the 'particle'). Two of these phase arrangements create
the two spin states of electrons, and two phase arrangements create the
two spin states of the opposite phase standing waves, positrons (anti-matter).
This keeps the phase of electrons and positrons locked to the phase of background
space vibrations (which is the same everywhere) thus explaining how these
wave-center 'particles' are locked in their respective phase relations with
one another across the universe (what I was seeking).
The basic quaternion logic is represented by a quaternion multiplied by its complex conjugate (where a b c d are scalar, i j k are imaginary)
qq* = (a + i b + j c + k d)(a - i b - j c - k d) = a²+b²+c²+d²
The factors on the left represent the complex vector / transverse plane waves, the four dimensional scalar on the right represents matter, a scalar longitudinal spherical standing wave. If you multiply the left side out you see that 12 of the 16 terms all cancel one another leaving just the scalar terms. This is actually what stimulated my mind to how the complex vector / transverse plane waves were canceling one another leaving just a scalar spherical standing wave.
Below is a simple diagram representing these intersecting plane waves. When you combine the top eight diagrams you get the image below. You can clearly see the spherical effects starting to form (obviously this image is 2 dimensional circles, you must imagine it as 3 dimensional spheres) - and importantly you also see opposite phases (positrons and electrons) being formed.
The Creation / Pair Production of Matter and Antimatter (Positrons and Electrons)
Further, and also critically importantly, the wave solutions are in pairs. This means that whenever the phase arrangements of intersecting plane waves produce an electron, they will also necessarily produce the opposite phase positron next to it (they will also have opposite spin states). This explains matter-antimatter pair production which is occurring everywhere in space all the time - because space vibrates in two distinct patterns (particles and quantum fields) which it is constantly switching between. However if you want to see and use these 'particles' then you need to add energy to them to separate them (before they annihilate / switch back to the quantum field vibratory pattern). This explains why a strong electric field in 'empty space' creates a stream of positrons and electrons. (I actually deduced this last night then checked - it is true - and I suspect most of you here did not know this either - but you can follow this deduction and see this logic for yourself just as I have.)
This has quite remarkable consequences, since it means physics understanding
of the energy of matter and space is incomplete / wrong, it is missing this
underlying wave energy of space that creates both matter 'particles' and
their 'fields'. Thus modern physics thinks that particle / anti-particle
pair production contradicts conservation of energy laws (since matter and
anti matter both have positive energy) so they cheat and use the uncertainty
principle to avoid this (search pair production and virtual particles in
wikipedia).
The solution, the pair production is just the plane waves changing their
phase arrangements such that space changes from a quantum field vibration
pattern to two particle vibration patterns (two opposite phase spherical
standing waves). Both wave patterns have the same energy - it is just distributed
in different directions / wave patterns. So modern physics conception of
matter's energy is really just its electromagnetic energy, i.e. the energy
of an electron and a positron equals the energy required to separate an
electron positron pair, thus it does not include the energy of the spherical
standing wave pattern in space that cause these 'particles'.
It is possible this is the solution to dark matter, but cosmology has so
many errors in it (all of physics has) and they continually confuse empirical
facts (Hubble discovered a redshift with distance, Planck and Einstein showed
light has a discrete energy) with theoretical interpretations (Hubble discovered
the universe is expanding, Planck and Einstein showed light is a particle)
which is very confusing, very bad science, and means this needs a lot more
thought and analysis.
The Very Famous Dirac Equation of Matter and Fields (the Universe) is Explained!
From the above plane wave formalism in 3D space, the quaternion wave equation
you get is a general form of the Dirac equation (see Lanczos Equation) -
and this is really the equation of the universe as it connects the 'field'
to the 'particle' - all from intersecting plane waves in space. Dirac found
the solution mathematically by factorizing the energy equation of matter
(Klein Gordon equation) into its component parts, he never understood the
physical cause of this - in fact he mistook the positron as a negative energy
particle (an odd idea) when the negative sign really means opposite phase
standing wave. I have however come to it from wave structure of matter foundations,
and we can now deduce the Dirac equation from first principles of plane
waves in space. Interestingly, it is well known that the Dirac equation
represents multiple plane wave solutions, but physicists, blinded by their
existing particle conceptions, and then later by Born's probability wave
interpretation, never imagined real plane waves in space as a solution,
a classic example of existing beliefs blinding us to obvious truths. (This
is also why Planck observed that new ideas only arise in physics when those
with the old ideas die!)
So you see that I came to Dirac’s equation from the side of metaphysics
and substance (a wave structure of matter in mind) rather than just mathematics,
and with the tools of complex quaternion wave equations the solution becomes
much more obvious.
I must admit that I love Hamilton’s quaternions – the three dimensional
algebra is simple, elegant, powerful, beautiful – all corresponding to properties
of the physical reality they describe! As Hamilton poetically describes
them;
"Time is said to have only one dimension, and space to have three dimensions. ... The mathematical quaternion partakes of both these elements; in technical language it may be said to be 'time plus space', or 'space plus time': and in this sense it has, or at least involves a reference to, four dimensions. And how the One of Time, of Space the Three, Might in the Chain of Symbols girdled be." (W R Hamilton)
So we see Hamilton proceeded Einstein by 60 years in formulating the four
dimensional space-time continuum. However, this is not quite correct, they
need a slight metaphysical correction from space and time (as Newton's background
stage for the motion of matter, or Einstein's matter-energy fields in space-time)
to space and (wave) motion, where the wave motion of space causes matter
and time (and energy).
And once you have this fundamental complex quaternion wave equation of the
universe you can deduce the central equations in quantum physics and relativity.
"If quaternions are used consistently in theoretical physics, we
get a complete description of the physical world, with relativistic and
quantum effects easily taken into account. Thus Hamilton’s idea, which motivated
more then half of his professional life, that quaternions are a fundamental
building block of the physical universe, appears to be essentially correct
in the light of contemporary knowledge."
https://arxiv.org/PS_cache/math-ph/pdf/0201/0201058v5.pdf
The Cause of All Charge / Electrical Forces
We know space must be a non-linear wave medium to get wave interactions. When we consider our spherical particle vibrations, all the field's vector transverse components have either cancelled one another or added to the scalar spherical standing wave (this phase transition the cause of Dirac's spinors). This means that this particle wave pattern has a higher longitudinal wave amplitude in the direction of the plane waves flowing through it. And these higher wave amplitudes have a higher wave velocity. Basically the two different ways space vibrates have the same energy, but distributed differently, and the particle vibrations have a higher wave velocity than the quantum field vibrations. Thus for two electrons near one another, they slightly advance the plane waves traveling through each other, which causes them to re-position further apart (like charges repel). For opposite phase interactions the wave amplitudes destructively interfere, have lower amplitude, travel more slowly and cause the positron and electron to re-position towards one another.
Quantum Physics and Einstein's Relativity
(A very abrupt summary!)
Relativity is due to the following wave phenomena.
For any change in wave velocity there is a corresponding change in wavelength and dimension such that the change in wave velocity is not observed (the subtle difference between a constant velocity of light and one that changes but is always measured to be the same!)
For any change in wave velocity there is also a change in ellipsoidal shape of the particle wave vibrations, and there is a change in the location of the wave center (acceleration), thus you can relate ellipsoidal geometry with acceleration. And if you assume acceleration is equivalent to a gravitational field then you can use this maths to create the curved geometry of a gravitational field.
(There is one assumption I do not understand, that the wave velocity is slightly slower in higher energy density space, and this causes gravity. This seems to be correct, the velocity change appears in the wave equations for a string (from which you can also deduce E=mcc and F=ma) but I do not know why this is so.)
Quantum Physics arises due to the following wave phenomena.
Light is caused by resonance where these spherical oscillators are bound
in atoms or molecules such that they create a repeating wave pattern that
sets up resonance between them, causing them to jump from one wave pattern
to another. Planck thought electrons were resonators, it was this idea that
motivated Schrodinger to develop the wave equation for matter to show this.
(I don't know why people call light a particle - it should be called a discrete
resonant energy exchange given this is the maths used to calculate it.)
For light emitted from positron-electron annihilation, well it is just the
kinetic energy of them spiraling around one another that is exchanged by
resonance to allow them to move to their ground state (no kinetic energy)
such that they can pair up and phase transition back to quantum field vibrations.
Heisenberg's uncertainty principle is commonly deduced using wave logic, to know more about a wave train (momentum) you need to look at more of the wave (position). But I am still thinking about this one!!
Born's probability wave interpretation is mathematically true, but Einstein had the correct cause of this - it is due to lack of knowledge of an ensemble, an interconnected system of waves that extends to infinity such that it is causally connected but not deterministic.
The non-locality is much more complex than I previously realised. The plane waves (group waves) are local - they travel at the velocity of light c. However, they are non-local in that the plane wave extends to infinity on its plane, connecting all matter on this plane wave instantly to infinity. Further, because these plane waves flow in all directions through space, all plane waves are intersecting on various angles with all others producing lines of intersection (phase waves) that vary from below c to infinite velocity (as above, when the plane waves intersecting are parallel). And an added complexity is that the plane waves will have various curves on their surface because of the variable velocity of light thus they are not perfectly flat / planar and the wave interactions will be more complex to reflect this. Finally, whenever a wave center is in motion it produces its own planar beat wave (the de Broglie phase wave) and this is also non-local with velocity c^2 / relative velocity. e.g. for relative velocity c/100 the de Broglie phase wave velocity is 100c. And I guess a final point - these phase waves will interact with one another creating a higher level of complexity again. (The complexity is staggering, the mathematics they have done in quantum field theory to describe this interconnected wave system is truly remarkable!)
In Conclusion!
While I have been convinced for 13 years that positrons and electrons were
just opposite phase standing waves – I have only in the past 3 weeks realised
how they are created from these plane waves which then explain how everything
is connected across the universe (you really need the 3D maths of quaternions
to see this - and to understand the Dirac equation).
So this is sent to you a little hastily, there is still a lot my mind is
adjusting to – but I am flying across Australia tomorrow and I wanted to
send this before I left.
Please dear philosophers – do stop and think about this – do some research! Our world really is in a bad state – we need some simple truth and wisdom to help get us out of this mess.
You will find more details on my website (link below) - but I am still digesting this knowledge, it is not completely written up yet, and constructive help would be appreciated.
In ending, I ask that we discuss this on list. If it is true it is important
to all, if it is not true then the reason why are also very important (given
what it clearly explains from such firm / simple foundations).
And I can probably clarify a lot if you ask questions!
Sincerely,
Geoff Haselhurst
https://www.spaceandmotion.com
https://www.facebook.com/geoffrey.haselhurst
PS - And once you confirm for yourselves this is true - please send it on to others for comments - and write to Hawking for me and tell him it was a philosopher / metaphysicist that fixed up the mess their fanciful multidimensional mathematics had made of physics.
And a few quotes ...
"Someday we'll understand the whole thing as one single marvelous vision that will seem so overwhelmingly simple and beautiful that we may say to each other; 'Oh, how could we have been so stupid for so long? How could it have been otherwise!'" (J. A. Wheeler)
"We may always depend on it that algebra, which cannot be translated into good English and sound common sense, is bad algebra.” (William Clifford)
"The danger to society is not merely that it should believe wrong things,
though that is great enough; but that it should become credulous, and lose
the habit of testing things and inquiring into them; for then it must sink
back into savagery. ... To sum up: it is wrong always, everywhere, and for
anyone, to believe anything upon insufficient evidence. If a man, holding
a belief which he was taught in childhood or persuaded of afterwards, keeps
down and pushes away any doubts which arise about it in his mind, purposely
avoids the reading of books and the company of men that call into question
or discuss it, and regards as impious those questions which cannot easily
be asked without disturbing it--the life of that man is one long sin against
mankind. ...
Inquiry into the evidence of a doctrine is not to be made once for all,
and then taken as finally settled. It is never lawful to stifle a doubt;
for either it can be honestly answered by means of the inquiry already made,
or else it proves that the inquiry was not complete.
"But," says one, "I am a busy man; I have no time for the long course of
study which would be necessary to make me in any degree a competent judge
of certain questions, or even able to understand the nature of the arguments."
Then he should have no time to believe." (William Clifford)
"What we observe as material bodies and forces are nothing but shapes and variations in the structure of space. Particles are just schaumkommen (appearances). ... The world is given to me only once, not one existing and one perceived. Subject and object are only one. The barrier between them cannot be said to have broken down as a result of recent experience in the physical sciences, for this barrier does not exist. ... The scientist only imposes two things, namely truth and sincerity, imposes them upon himself and upon other scientists." (Erwin Schrodinger)
"The notion that all these fragments is separately existent is evidently an illusion, and this illusion cannot do other than lead to endless conflict and confusion. Indeed, the attempt to live according to the notion that the fragments are really separate is, in essence, what has led to the growing series of extremely urgent crises that is confronting us today. Thus, as is now well known, this way of life has brought about pollution, destruction of the balance of nature, over-population, world-wide economic and political disorder and the creation of an overall environment that is neither physically nor mentally healthy for most of the people who live in it. Individually there has developed a widespread feeling of helplessness and despair, in the face of what seems to be an overwhelming mass of disparate social forces, going beyond the control and even the comprehension of the human beings who are caught up in it." (David Bohm, Wholeness and the Implicate Order, 1980)
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)
Legal Disclaimer and Privacy Policy












