Instagram Profile - Geoffrey Haselhurst LinkedIn Profile - Geoffrey Haselhurst YouTube Channel - Haselhurst WSM Substack - WSM - One Substance - One Law - One Logic Medium Profile Quora Profile ResearchGate Profile Academia.edu Profile Google Scholar Profile ORCID Profile Mastodon Profile Facebook Profile - Geoffrey Haselhurst Share on Facebook Follow on X Share on X Share on Reddit Share on Bluesky Share on WhatsApp Share on LinkedIn Share on Tumblr Share on Pinterest   Share by Email Print or Save as PDF




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

https://www.spaceandmotion.com/2026/ancient-greek-philosophy-metaphysics-to-modern-maths-physics.html

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

https://www.spaceandmotion.com/2026/wsm-qcd-hadron-baryon-meson-proton-neutron-muonic-standing-waves.html

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

https://www.spaceandmotion.com/2026/wsm-explains-famous-quotes-maths-physics-philosophy-metaphysics.html

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.



Aristotle Metaphysics
Metaphysics of One Substance & its Properties

Summary & History of the Metaphysics of Aristotle, Quotes & Pictures
Uniting Space, Time, Matter & Motion with the Wave Structure of Matter

It is clear, that wisdom is knowledge having to do with certain principles and causes. But now, since it is this knowledge that we are seeking, we must consider the following point: of what kind of principles and of what kind of causes is wisdom the knowledge? (Aristotle, Metaphysics, 340BC)The first philosophy (Metaphysics) is universal and is exclusively concerned with primary substance. ... And here we will have the science to study that which is, both in its essence and in the properties which, just as a thing that is, it has. (Aristotle, 340BC)

It is clear, then, that wisdom is knowledge having to do with certain principles and causes. But now, since it is this knowledge that we are seeking, we must consider the following point: of what kind of principles and of what kind of causes is wisdom the knowledge? (Aristotle, Metaphysics, 340BC)

Metaphysics involves intuitive knowledge of unprovable starting-points (concepts and truth) and demonstrative knowledge of what follows from them. (Aristotle, Metaphysics, 340BC)

The entire preoccupation of the physicist is with things that contain within themselves a principle of movement and rest. And to seek for this is to seek for the second kind of principle, that from which comes the beginning of the change. (Aristotle,340BC)

The entire preoccupation of the physicist is with things that contain within themselves a principle of movement and rest. And to seek for this is to seek for the second kind of principle, that from which comes the beginning of the change. (Aristotle,340BC)There must then be a principle of such a kind that its substance is activity.
... it is impossible that the primary existent, being eternal, should be destroyed.
... that among entities there must be some cause which moves and combines things.
... about its coming into being and its doings and about all its alterations we think that we have knowledge when we know the source of its movement. (Aristotle, Metaphysics, 340BC)


Introduction

Aristotle was the first philosopher to formalise the subject of Metaphysics. As Aristotle explains, Metaphysics is the study of the One Substance (and its Properties) which exists and causes / connects all things, and is therefore the necessary foundation for all human knowledge. Aristotle (and Leibniz) were correct to realize that One Substance must have Properties that cause matter's interconnected activity and motion. As Aristotle wrote;

"Since nature is a principle of motion and change, and since our inquiry is about nature, we must not overlook the question of what motion is. For without understanding motion, we could not understand nature." (Aristotle)

Though Aristotle did not know what existed, he explained the method such that we could determine this ourselves. Thus Aristotle's ideas are very important, for within them are the clues to the solution of this most profound of all problems, 'what exists', and thus what it means to be 'human'.
Ancient Greek Philosophy, of which Aristotle was the high point, marked a fundamental turning point in the evolution of humanity and our ideas about our existence in the universe. Over the past 2,500 years Aristotle's philosophy has directly contributed to the evolution of our current science / reason based society. Thus it is unfortunate that many people imagine our post-modern society to now be so 'enlightened' that Aristotle (and other Ancient Greek Philosophers) have become irrelevant. In fact the opposite is true. As Bertrand Russell observed (History of Western Philosophy), it was the Ancient Greek Philosophers who first discovered and discussed the fundamental Principles of Philosophy, Physics and Metaphysics, and most significantly, little has been added to their knowledge since. As Einstein wrote;

Somebody who only reads newspapers and at best books of contemporary authors looks to me like an extremely near-sighted person who scorns eyeglasses. He is completely dependent on the prejudices and fashions of his times, since he never gets to see or hear anything else. And what a person thinks on his own without being stimulated by the thoughts and experiences of other people is even in the best case rather paltry and monotonous. There are only a few enlightened people with a lucid mind and style and with good taste within a century. What has been preserved of their work belongs among the most precious possessions of mankind. We owe it to a few writers of antiquity (Plato, Aristotle, etc.) that the people in the Middle Ages could slowly extricate themselves from the superstitions and ignorance that had darkened life for more than half a millennium. Nothing is more needed to overcome the modernist's snobbishness. (Albert Einstein, 1954)

It is therefore both interesting and important to consider the foundations which caused the blossoming of Ancient Greek Philosophy. First and foremost was the realisation that ALL IS ONE, as Nietzsche writes;

Greek philosophy seems to begin with a preposterous fancy, with the proposition that water is the origin and mother-womb of all things. Is it really necessary to stop there and become serious? Yes, and for three reasons: firstly, because the preposition does enunciate something about the origin of things; secondly, because it does so without figure and fable; thirdly and lastly, because it contained, although only in the chrysalis state, the idea :everything is one. ... That which drove him (Thales) to this generalization was a metaphysical dogma, which had its origin in a mystic intuition and which together with the ever renewed endeavors to express it better, we find in all philosophies- the proposition: everything is one! (Friedrich Nietzsche, The Greeks)

Further, Aristotle realised that Motion (Flux / Activity / Change) was central to existence and reality, as he writes;

The first philosophy (Metaphysics) is universal and is exclusively concerned with primary substance. ... And here we will have the science to study that which is just as that which is, both in its essence and in the properties which, just as a thing that is, it has. (Aristotle, 340BC)
The entire preoccupation of the physicist is with things that contain within themselves a principle of movement and rest. And to seek for this is to seek for the second kind of principle, that from which comes the beginning of the change. (Aristotle, 340BC)

Only recently (Wolff, 1986, Haselhurst 1997, and others - see WSM Group) has it been possible, with the discovery of the Metaphysics of Space and Motion and the Wave Structure of Matter (WSM), to simply unite these ideas with modern Physics, Philosophy and Metaphysics.
It is also ironic that the main problem for human knowledge also came from the Ancient Greeks, with their conception of matter as discrete Atoms (Democritus, Lucretius). Unfortunately, Physics took the path of the atomists (Newton, Faraday, Maxwell, Lorentz) and this led to the creation of 'Force Fields' (generated by particles) to explain how matter interacted with other discrete matter at-a-distance in Space.


Metaphysics Principles Truth Reality: Aristotle. 'Metaphysics is universal and is exclusively concerned with primary substance.' Summary of the Metaphysics of Aristotle

The first philosophy (Metaphysics) is universal and is exclusively concerned with primary substance. ... And here we will have the science to study that which is just as that which is, both in its essence and in the properties which, just as a thing that is, it has. (Aristotle, Metaphysics)

At the heart of Metaphysics is Substance and its Properties, which exists and causes all things, and is therefore the necessary foundation for all human knowledge. Aristotle and Leibniz were correct to realize that One Substance must have Properties that account for matter's interconnected activity and Motion.

The entire preoccupation of the physicist is with things that contain within themselves a principle of movement and rest. And to seek for this is to seek for the second kind of principle, that from which comes the beginning of the change. & There must then be a principle of such a kind that its substance is activity. (Aristotle, Metaphysics)

Since nature is a principle of motion and change, and since our inquiry is about nature, we must not overlook the question of what motion is. For without understanding motion, we could not understand nature. (Aristotle)

I maintain also that substances, whether material or immaterial, cannot be conceived in their bare essence without any activity, activity being of the essence of substance in general. (Leibniz, 1670)

The solution is to realize that Space exists as a wave-medium and contains spherical wave-motions that cause matter and its interconnected activity/change (what we call time).
With this in mind let us now consider some quotes from Aristotle on Metaphysics.

It is clear, then, that wisdom is knowledge having to do with certain principles and causes. But now, since it is this knowledge that we are seeking, we must consider the following point: of what kind of principles and of what kind of causes is wisdom the knowledge? (Aristotle, Metaphysics)

Metaphysics involves intuitive knowledge of unprovable starting-points (concepts and truth) and demonstrative knowledge of what follows from them. (Aristotle, Metaphysics)

Demonstration is also something necessary, because a demonstration cannot go otherwise than it does, ... And the cause of this lies with the primary premises/principles. (Aristotle, Metaphysics)

For those who wish to make good progress must start well; for subsequent progress depends on the resolution of the first puzzles, and one cannot solve these without knowing the difficulty and the confusion of our minds. So we must first set out all the difficulties, both for these reasons and also because those who inquire without first setting out the difficulties are like those who do not know in which direction they should walk, and in addition do not even know whether they would recognize that which they are looking for. For the end is not clear to these, but it is for those who have begun with the puzzles. And also from the point of view of judging that man is better off who has heard, as it were, all the rival and opposed positions. (Aristotle, Metaphysics)

..it is impossible that the primary existent, being eternal, should be destroyed.
.. that among entities there must be some cause which moves and combines things.
..about its coming into being and its doings and about all its alterations we think that we have knowledge when we know the source of its movement. (Aristotle, Metaphysics)

While Aristotle did not know what existed, he explained to us the method so that we could work this out. Thus Aristotle's words and ideas are very important, for within them are the clues to the solution of this problem of 'what exists'.

Some philosophers have fallen into this opinion in the same way that they have into other paradoxes. They are confronted by an esoteric argument, find it impossible to refute and end up by giving in to it and accepting its conclusion! This explains the confusion of some, ... the basis of the cure is definition. Now a definition arises from the necessity that words have some meaning; for the definition is the account of which the word is the sign. (Aristotle, Metaphysics)
Rather, they start this, displaying it to the senses, .... and go on to offer more or less rigorous demonstrations of the per se attributes of their proprietary genera. This sort of procedure is inductive and it is as plain as a pikestaff that it does not amount to a demonstration of essence or of what it is to be a thing. (Aristotle, Metaphysics)
..a science must deal with a subject and its properties. (Aristotle, Metaphysics)
.... the science we are after is not about mathematicals either (none of them, you see, is separable). (Aristotle, Metaphysics)
But also philosophy is not about perceptible substances (they, you see, are prone to destruction) (Aristotle, Metaphysics)
The entire preoccupation of the physicist is with things that contain within themselves a principle of movement and rest. (Aristotle, Metaphysics)
However, there is a science higher than natural science. For in truth nature is but one genus of that which is.  It is a science whose subject matter is universal and which is exclusively concerned with primary substance. (Aristotle, Metaphysics)
It is the principles and causes of the things that are that we are seeking, and clearly it is their principles and causes just as things that are.... It is, however, vital not to overlook the question of what it is to be a thing and the definitional account of how it is what it is. If we leave these out, scientific inquiry is mere shadow boxing.... the science of it is First Philosophy - and such a science is universal just because it is first. (Aristotle, Metaphysics)
And here we will have the science to study that which is just as that which is, both in its essence and in the properties which, just as a thing that is, it has. (Aristotle, Metaphysics)


Metaphysics Principles Truth Reality: Aristotle. 'Metaphysics is universal and is exclusively concerned with primary substance.' Modern Academic Analysis of Aristotle's Metaphysics

This academic summary of Aristotle's Metaphysics, from The Western Philosophy and Philosophers Encyclopedia 1991, is very useful.

Metaphysics is the name given by scholars to a treatise of Aristotle. Aristotle described the subject of his treatise in a number of different ways which he regarded as equivalent. He called it the study of the first principles of things. He said it was the science of existence in general, or of 'being as such', contrasting it in this respect with the various special sciences which each studied only one part or aspect of being. He described it also as the study of 'substance', a term which occupies a central position in the work of most of the great metaphysicians who came after him. Substance he declared to be what primarily existed, and was prior to all other things in respect not only of existence, but of explanation and of knowledge as well; that is to say, the explanation of anything else involved the idea of substance; knowledge of anything else involved knowledge of substance; and the existence of everything else depended on the existence of substance. Metaphysics, then, is regarded by Aristotle as a single, comprehensive study of what is fundamental to all existence, all knowledge and all explanation. It will at once be evident that different identifications of substance, i.e. of what has this fundamental character, will yield different systems of metaphysics.
The Physics and connected works contain discussion and analysis of such concepts as nature, change, chance, time, place, continuity, infinity, growth; proofs that movement is eternal and that there is an eternal Prime Mover; and much doctrine as to the actual constitution and workings of the universe.
The argument for a Prime Mover starts from Aristotle's conception of change and causation. There could not be an absolutely first (or last) change. For since change implies pre-existing matter (or potentiality) and a pre-existing efficient cause to impose form on the matter (to actualize the potentiality), there must have existed before a supposed first change something capable of being changed and something capable of causing change. But then to explain why these potentialities (for being changed and for causing change) were actualized at a certain time just priori to that time, that is, a change before the supposed first change. Change therefore, or movement, must be eternal.... This Prime Mover, eternal, changeless and containing no element of matter or unrealized potentiality, keeps the heavenly bodies moving and maintains the eternal life of the universe.... He recognized that theories must wait upon facts, and if at any future time they are ascertained, 'then credence must be given to the direct evidence of the senses more than to theories'.

The composite picture which these descriptions yield is not a very clear one. (1) Metaphysics is a comprehensive study of what is fundamental in the order of knowledge, explanation and existence; (2) it is the study of reality as opposed to mere appearance; (3) its subject is, or has been, what transcends experience; (4) it is, or ought to be, a study of the intellectual equipment and limitations of human beings; (5) its method is, or has been, a priori rather than empirical; (6) it proposes a revision of the set of ideas in terms of which we think about the world, a change in our conceptual scheme, a new way of talking.

It is certainly true that most of the great metaphysicians have proposed radically revised pictures of the world, bold, comprehensive and often startling; and that most of them have accorded a central place in the picture to some few key concepts, or to some specially favored type of entities given the title of 'substance'. It is also true that the choice of key concepts and entities, and the resultant picture of the world, have varied greatly from one metaphysician to another. Sometimes even 'substance' has been dethroned, e.g.. in favor of 'process'; and among candidates for the role of substance the choice has been wide. Besides God, the divine substance, who has a place in most systems, Descartes recognized two types of substance, matter and minds; Berkeley one only, minds or spirits; Leibniz a class of entities (monads) each of which, though non-spatial and non-temporal, was somehow a model of our entire universe. Spinoza recognized only one comprehensive substance, God or Nature, infinite and eternal, of which mind and matter were merely two aspects. Kant regarded substance as belonging to the world of our ordinary experience, yet set Reality itself, as totally unknowable, outside that world.

(Western Philosophy and Philosophers, 1991)


Metaphysics Principles Truth Reality: Aristotle. 'Metaphysics is universal and is exclusively concerned with primary substance.' Positive Solution to Metaphysics
One Space Exists and has the Properties of a Wave Medium

If One thing, Space, Exists, how can a second thing exist within the One thing Space that gives rise to Matter and its Motion?
As Aristotle importantly and profoundly says;

... there is some other cause of the change. And to seek for this is to seek for the second kind of principle, as we would say, that from which comes the beginning of the change. (Aristotle, Metaphysics)
Unless the further factor is active, there will still be no movement. (Aristotle, Metaphysics)
There must then be a principle of such a kind that its substance is activity. (Aristotle, Metaphysics)

I feel quite sure that if Aristotle had known of Huygens' work on Wave-Motion, along with the work of Newton and Leibniz, (who all lived 2,200 years later in human history) then Aristotle would have solved the problem of how Matter exists in this Space of our Universe. Unfortunately no formal knowledge of Wave-Motion existed then, hence there was no obvious solution (as there now is.)
Thus he was confronted, along with all Philosophers, with the Problem of the One and the Many;

Now there are several ways in which the one and the many are in opposition. One of these lies in the fact that the one and the many are opposed as indivisible and divisible. What is either divided or divisible is accounted for as a kind of plurality, whereas what is indivisible or not divided is said to be a unity. (Aristotle, Metaphysics)
Multiplicity cannot be derived from a necessarily single thing. (Aristotle, Metaphysics)

The solution is to realize that Space is Moving, that it is the Motion of Space which is the second thing that can Exist within the One thing. This Motion is a Wave Motion so we are simply saying that Space is Vibrating, Space is a Wave Medium and has Waves flowing through it. (So we see that Aristotle's required 'Activity' is in fact a Wave-Activity.)
Thus we see how the second existent, Motion, exists within the One Fundamental Existent, Space.

If we now return to Aristotle, we also see how the Wave-Motion of Space is consistent with his Metaphysical Principles, we need simply make two additions to his sentence as underlined;

And here we will have the science to study that which is just as that which is, both in its essence (Space) and in the properties (Wave Medium/Motion) which, just as a thing that is, it has. (Aristotle, Metaphysics)

Which thus explains why:

The entire preoccupation of the physicist is with things that contain within themselves a principle of movement and rest. (Aristotle, Metaphysics)

And thus we are now led to the Metaphysics of Space and Motion and the Wave Structure of Matter (WSM) in Space, and at last to a simple and elegant solution to the problem that the great Aristotle formalized so long ago. For Aristotle was largely correct, there is One Substance, Space, which Exists as a Wave-Medium (Aristotle's Prime Mover) and thus Space is Moving (Vibrating) due to this Wave-Motion.

Note: Space is exceedingly rigid and only allows a tiny displacement/motion, thus the velocity of waves is VERY fast (the velocity of light c) and the wavelength is very short (10^-12 meters) thus Space is vibrating at something like a hundred billion billion cycles/s.
As Einstein says;

The subtlety of the concept of space was enhanced by the discovery that there exist no completely rigid bodies. All bodies are elastically deformable. (Einstein)


Metaphysics Principles Truth Reality: Aristotle. 'Metaphysics is universal and is exclusively concerned with primary substance.' Uniting Motion, Matter and Time back to Space

Motion must always have been in existence, and the same can be said for time itself, since it is not even possible for there to be an earlier and a later if time does not exist. Movement, then, is also continuous in the way in which time is - indeed time is either identical to movement or is some affection of it. (There is, however, only one continuous movement, namely spatial movement, and of this only circular rotation.) (Aristotle, Metaphysics)

Aristotle was quite remarkable, and here he alludes to the fact that Time and Motion are intimately interconnected, that Time did not exist as something in itself but was caused by the Motion of Matter. This is a major discovery for it takes us from the current Metaphysics of Space and Time to the Metaphysics of Space and Motion and thus the Wave Structure of Matter.
Likewise it then enables us to see the errors of both Physics (Einstein's Four Dimensional Space-Time Continuum) and Philosophy (Kant's Space, Time and Causation as a priori).

But now we must ask what is this connection between Motion and Matter (how is it that we can sense the Motion of Matter in Space?). If Matter is something different to Motion then what is the connection between Motion and Matter?
As Aristotle says;

... there being two causes of which we have defined in the Physics, they seem to have a glimpse of them, that of matter and that from which the motion comes, indistinctly though, and in no way clearly. (Aristotle, Metaphysics)

Aristotle was aware that we sense the Motion of Matter in Space, but he did not understand the connection between Matter and Motion. Only now can we demonstrate that Matter is a particular Form (Shape) of (Wave) Motion, a Spherical Standing Wave Motion of Space, thus we really sense the Motion of Motion in Space, thereby uniting Matter with Motion (and Time) thus solving the separation between these three previously distinct things.
This is further consistent when we consider electricity and the Motion of electrons (actually the motion of the Wave-Centers of Spherical Standing Waves) for we all know that electrical energy can be converted to Motion energy by an electric motor (and vice versa). We now see how electricity is connected to Motion, for the electrons themselves are a form of Motion, the Spherical Standing Wave Motion of Space.
Though it is more complex, this is also true of our minds and how by thinking we can move matter (e.g. my mind causing my fingers to move to type these letters) because mind is also caused by (and is nothing more than) the relative (wave) motions of matter which is ultimately the relative motions of Space.
As Aristotle profoundly says;

..about its coming into being and its doings and about all its alterations we think that we have knowledge when we know the source of its movement. (Aristotle, Metaphysics)

Help Humanity

"You must be the change you wish to see in the world."
(Mohandas Gandhi)

Albert Einstein"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)


Biography: Geoffrey Haselhurst, Philosopher of Science, Theoretical Physics, Metaphysics, Evolution. 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)







Copyright 1997 - 2026
We support 'Fair Use' of these pages for Academic & Non Commercial use.
You are welcome to use images and text, but please reference them with a link to relevant web page on this site. Thanks!

Creative Commons License