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.



Metaphysics: Skepticism
Quotes from Famous Skeptics / Skeptical Philosophers

Discussion on the Metaphysics of Skepticism, Philosophy as the Study of Truth, Reality & the Certainty of Knowledge. The Good & Bad of Skepticism (Scientific Minds are Skeptical but Open)

I have been re-writing the main pages of this website trying to be as concise and simple as possible (to keep the pages short / friendly for you). This page though is quite long, as it covers a lot of ground on scepticism which is important. It has a very good collection of quotes from the great philosophers - I hope that you will read them as I think this knowledge of healthy skepticism will repay you many times over - by providing good foundations for how to think and live in a complex and at times confusing world. (Geoff Haselhurst)

On the Difficulty of Convincing a Skeptical Postmodern Humanity that we can Know Reality

It is an almost impossible task to convince current postmodern philosophy (which teaches that there are no Absolute Truths) that we can (and now do) know the truth about physical reality. This task is made more difficult again by the fact that there are many thousands of generally well meaning 'crackpot theorist' websites on the internet with all sorts of strange ideas (so people just get confused and give up I suspect).

Nonetheless, I am quite certain that many people care greatly about science and philosophy, appreciate their importance to Humanity, and their current problems and contradictions. Likewise many people would dearly love to see these errors and problems corrected. It is to you that I write, believing that over time the force of reason and truth invariably prevails over customs and opinions.

I first read Einstein and Lorentz about seven years ago. Einstein considered matter to be Spherically Spatially extended (not a discrete particle) and Lorentz imagined Space to exist as a medium for waves. I suspect it was largely from these two ideas, combined with the well known particle / wave duality of matter, that caused me to think of the Spherical Standing Wave Structure of Matter in Space.

Now, ten years later, I at times feel like writing that it is 'bloody obvious' that the Wave Structure of Matter is correct, that reality has been discovered. It is after all very simple and obvious once known. Space exists as a wave medium, matter exists as the spherical wave motions of Space. (Please see main articles on the side of this page for more details.)

Of course, as a philosopher I realise that the 'bloody obvious' argument doesn't hold much water (it makes my kids smile though). Instead we are required to use the methods of science and philosophy to prove that we now have the correct language to directly describe what exists.
This is an enormously difficult task - that substantial proof is required to convince a highly skeptical humanity (which is understandable considering we have failed for 2,500 years to understand reality). Over the years I have thought about this and have concluded that the best two things would be;

i) To deduce reality such that Scientists could likewise determine the truth of this for themselves, and would thus agree that the Wave Structure of Matter in Space was necessary and certain. That my opinion was irrelevant, the truth was necessary, self evident and clear to all.

ii) To explain and solve the major problems of human knowledge. As Plato wrote, truth comes from reality. Thus true knowledge of reality should correct the past errors of philosophy, physics and metaphysics. (See top of page)

With this in mind, over the past ten years I have read many hundred of books on metaphysics, philosophy and physics (by the greatest minds of human history - which has been a pleasant task as I find the minds and ideas of people who wrote on truth and reality fascinating).
I am now certain that the Wave Structure of Matter does explain and solve most of the major problems of physics, philosophy and metaphysics. That it does not explain all problems is a limitation of my mind and my time, so there is obviously still much to be done.
To begin - some important quotes on skepticism, truth and reality.

It is proper for you to doubt ... do not go upon report ... do not go upon tradition ... do not go upon hearsay. (Buddha)It is proper for you to doubt ... do not go upon report ... do not go upon tradition ... do not go upon hearsay. (Buddha)
Sabbadanam dhammadanam jinati - 'The gift of truth excels all other gifts.' (Buddha)

What is at issue is the conversion of the mind from the twilight of error to the truth, that climb up into the real world which we shall call true philosophy. (Plato) What is at issue is the conversion of the mind from the twilight of error to the truth, that climb up into the real world which we shall call true philosophy.
... When the mind's eye rests on objects illuminated by truth and reality, it understands and comprehends them, and functions intelligently; but when it turns to the twilight world of change and decay, it can only form opinions, its vision is confused and its beliefs shifting, and it seems to lack intelligence. (Plato)

Nothing seems of more importance, towards erecting a firm system of sound and real knowledge, which may be proof against the assaults of scepticism, than to lay the beginning in a distinct explication of what is meant by thing, reality, existence ... (George Berkeley) Nothing seems of more importance, towards erecting a firm system of sound and real knowledge, which may be proof against the assaults of scepticism, than to lay the beginning in a distinct explication of what is meant by thing, reality, existence: for in vain shall we dispute concerning the real existence of things, or pretend to any knowledge thereof, so long as we have not fixed the meaning of those words. (George Berkeley)

This begets a very natural question; What is meant by a skeptic? And how far it is possible to push these philosophical principles of doubt and uncertainty? (David Hume, 1737)This begets a very natural question; What is meant by a skeptic? And how far it is possible to push these philosophical principles of doubt and uncertainty?
... I must confess that a man is guilty of unpardonable arrogance who concludes, because an argument has escaped his own investigation, that therefore it does not really exist. I must also confess that, though all the learned, for several ages, should have employed themselves in fruitless search upon any subject, it may still, perhaps, be rash to conclude positively that the subject must, therefore, pass all human comprehension.
... There is a species of scepticism, antecedent to all study and philosophy, which is much inculcated by Descartes and others, as a sovereign preservative against error and precipitate judgement. It recommends an universal doubt, not only of all our former opinions and principles, but also of our very faculties; of whose veracity, say they, we must assure ourselves, by a chain of reasoning, deduced from some original principle, which cannot possibly be fallacious or deceitful.
(David Hume, 1737)

Do not allow yourselves to be deceived: Great Minds are Skeptical. (Friedrich Nietzsche, 1890)Do not allow yourselves to be deceived: Great Minds are Skeptical.
... There is nothing more necessary than truth, and in comparison with it everything else has only secondary value.
This absolute will to truth: what is it? Is it the will to not allow ourselves to be deceived? Is it the will not to deceive? ... One does not want to be deceived, under the supposition that it is injurious, dangerous, or fatal to be deceived. (Friedrich Nietzsche, 1890)

The quest for certainty has played a considerable part in the history of philosophy: it has been assumed that without a basis of certainty all our claims to knowledge must be suspect. (A.J. Ayer) The quest for certainty has played a considerable part in the history of philosophy: it has been assumed that without a basis of certainty all our claims to knowledge must be suspect. (A.J Ayer)

If experience cannot justify the skeptic, neither can it refute him. Psychologically, indeed, he may receive encouragement from the fact that by following our accepted standards of proof we sometimes arrive at beliefs which turn out to be false: it would be hard for him to get a hearing if the procedures which he questions never lead us astray. ... Our reward for taking skepticism seriously is that we are brought to distinguish the different levels at which our claims of knowledge stand. In this way we gain clearer understanding of the dimensions of our language; and so of the world which it serves us to describe. (Ayer, 1956)

I begin with the fundamentals of truth as described by Aristotle, and then list (below) six important skeptical principles which are applied to skeptically analyse the Metaphysics of Space and (wave) Motion and the Wave Structure of Matter.

Now there is a principle in things that are for which illusion is impossible and whose truth, rather, we cannot fail to acknowledge, the principle that it is not possible for the same thing both to be, and not to be, at one and the same time, or indeed harbour any other such pair of contraries.
However, if you have on your hands a guy who is making opposite assertions and you want to show him the falsity of his ways, you are going to have to get out of him some concession which amounts to the principle that it is not possible for the same thing both to be and not to be at one and the same time, even though it may not be thought to be the same.

Only in this way can the principle be demonstrated in the face of one who says that it is possible for opposite statements to be true in respect of the same thing. In any case, if any two people are going to have a debate, there has to be some common ground. Without it what joint basis for discussion will there be? What, then, is needed is that each of the words used must be familiar and indicate something, not several things but only one. (Or if it does indicate a plurality of things, it must be made clear to which of these things the word is being applied in the context.)

Given these ground rules, anyone who says that a given thing both is and is not is denying what he is asserting, so that he is denying that the word indicates what it indicates, which is impossible. If, then, something is indicated by saying that a given thing is, it is impossible for the denial of it to be true in respect of the same thing.
On top of that, if the word indicates something and is asserted truly, this must be of necessity. And what is of necessity does not admit of ever not being. Thus it is not possible for opposite statements to be true in respect of the same thing.

Finally, if nothing can be truly asserted, even the following claim would be false, the claim that there is no true assertion. And if there is a true assertion, this is a refutation of what is pretended by the raisers of these objections, being as they are the comprehensive eliminators of all debate.
... 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.
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)

To summarize, we agree that words must correspond to real things that exist, and these things cannot both exist and not exist at the same time. We need this common ground to begin this skeptical analysis. Further, we must define the meaning of our words by directly relating them to what exists, and not by relating them to our naive real senses (like solid bodies, colours and emotions which are human constructions of the mind).
We do this with One Principle which states that One thing (substance) Space exists as a Wave-Medium and matter exists as the Spherical Wave Motion of Space.
This is followed by six fundamental principles of skeptical analysis which are applied to the Wave Structure of Matter.


Fundamental Principles of Skeptical Analysis

Contents

1.1 We must Critically Analyse our Existing Beliefs
1.2 We cannot use 'God' as a Metaphysical explanation of the 'Necessary Connexion' between Things
1.3 We should always keep an Open Mind
1.4 Our Guiding Metaphysical Principles Must be Simple, Logical and Sensible
1.5 All Knowledge of Reality Ultimately Comes from Our Senses and Experience
1.6 We should be aware of 'Naive Realism' and that our Mind 'Represents' the World of our Senses


1.1 We must Critically Analyse our Existing Beliefs

In general, there is a degree of doubt, and caution, and modesty, which, in all kinds of scrutiny and decision, ought for ever to accompany a just reasoner. (David Hume, 1737)

We begin by accepting the uncertainty of our existing beliefs and agree that beliefs require critical analysis from firm foundations (i.e. Knowledge of Philosophy, Physics, and Metaphysics). As Descartes elegantly writes,

Several years have now elapsed since I first became aware that I had accepted, even from my youth, many false opinions for true, and that consequently what I afterwards based on such principles was highly doubtful: and from that time I was convinced of the necessity of undertaking once in my life to rid myself of all the opinions I had adopted, and of commencing anew the work of building from the foundation, if I desired to establish a firm and abiding superstructure in the sciences. (Descartes, 1637)

Now it seems that this is generally difficult for humans to do and there are two obvious reasons for this.

Firstly we have clearly evolved to form strong cultural / religious beliefs (generally determined by famous males) which unite and strengthen our tribe (and thus enhance our survival).

Secondly, we depend upon language to understand things, and our language contains many pre-conceived (a priori) ideas and beliefs that subtly and insidiously affect the ability of our minds to think freely and critically.

Three particular beliefs (below) must now be re-analysed;
i) Time existing as a real thing in itself
ii) Particles with Charge and Mass, and thus also requiring electromagnetic and gravitational fields to connect them.
iii) The non-existence of an absolute Space (Einstein's theory of relativity)


1.2 We cannot use 'God' as a Metaphysical explanation of the 'Necessary Connexion' between Things

Aristotle describes the philosopher metaphysicist's view of God very well.

For God is thought to be among the causes for all things and to be a kind of principle ...
.. by making the gods the principles and making creation from the gods ...
"Suppose, however, that there is something that is eternal, unchanging and apart. Does this putative Entity form the domain of a theoretical science? Yes, of course, but not that either of natural science or of mathematics, but of a science more fundamental than them both. The domain of natural science is things that are in a way separate but which are eminently subject to change, and at least part of the domain of mathematics is things that are not subject to change but also not separable, in the sense of being separable from matter. But First Science deals with things that are separable and are remote from change.
All the causes must be eternal, of course, but eternity must pertain more specially still to the causes of First Science, operating, as they do, to produce those effects of Divinity that are manifest even to us. Let us, then, say that there are three forms of contemplative philosophy - mathematics, natural science and theology. For who can doubt that, if there is Divinity anywhere in the universe, then it is in the nature studied by First Science that It is to be found. And it is also for the Supreme Science to study the Supreme Genus. And contemplative study is to be chosen above all other science, but it is this First Science of Theology that we must prefer to all other kinds even of contemplation. (Aristotle, Metaphysics)

Effectively Aristotle says that the heart of Metaphysics lies in the study of the One Absolute and Eternal Thing (God, Divinity) which Exists and is the Cause of all other things.
Since Aristotle, God has been used in many systems of Metaphysics, but invariably the word has been used to fill in gaps of our knowledge, which is a negative solution to the analysis of God (Theology).
Descartes assumed three principle 'existents' - Matter, Mind and God, but was never able to show the necessary and thus certain connections between these three different things, and as Hume rightly says;

To have recourse to the veracity of the supreme Being, in order to prove the veracity of our senses, is surely making a very unexpected circuit. (Hume, 1737)

Newton also faced the Same problem;

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. (Sir Isaac Newton)

Newton was quite religious, and thus tried to use 'God' to explain his lack of knowledge of necessary connection;

Newton, following the example of the Cambridge Platonist Henry More, justified his introduction of "Space" as a real, infinite entity (and by implication, the existence of "hard, massy, impenetrable, movable particles") by claiming that Absolute Space is constituted by the Omnipresence of God.
Newton sought to make the action of Universal Gravitation across empty space believable by references to the power of God, but as the investigation of electricity, magnetism and chemical affinity developed in the 18th and 19th centuries attempts were made to find physical explanations for "action-at-a-distance". In the theories of Boscovich and Faraday the dualism of Atoms and the Void is replaced by an all-pervasive "field of force" in which there are many mathematical centers. (This version also informs the account of gravitation in Einstein's General Theory of Relativity.) (Western Philosophy and Philosophers , 1991)

Spherical Standing WaveAgain I repeat, the obvious and simple solution to these problems is to realize that there are no separate 'particles' or 'fields' existing in Space, rather, it is the Wave-Center of Spherical Standing Waves (SSWs) in Space that creates this 'particle effect'. As a consequence, it is the In-Waves of the Spherical Standing Wave in Space which are changing velocity as they flow in through other SSWs in Space (particularly their high Wave-Amplitude Wave-Centers) that causes the 'Field Effect" and the resultant acceleration of the 'particle' (Wave-Center).
Thus postulating the existence of 'God' as an explanation for our lack of knowledge of the necessary connection between things that exist (which has been common throughout the history of Philosophy e.g. Newton, Spinoza, Leibniz, Berkeley, Kant, to name but a few of many) is no solution and is simply used to fill a gap in our knowledge.
This skepticism is particularly important for Cosmology where belief in the 'Big Bang' (which has God/creation/religious connotations) has now become famous and well established. Certainly the creation of our universe from no Space and no Time (God?) is not in accordance with everyday phenomena, nor with the laws of Nature, and as it cannot be confirmed by direct observation we would do well to remain open minded and skeptical. More than this though, the Wave Structure of Matter explains a different cause for the redshift with distance that leads to a perpetual finite spherical universe within and infinite Space. Thus not only must we be skeptical of the 'Big Bang' Cosmology, we must also be open minded and skeptically consider opposing theories.


1.3 We should always keep an Open Mind

Hume, thought it possible that we could discover this 'secret' and 'necessary connexion' between things. This knowledge would allow logic from first principles (Metaphysics) to deduce events such that we would no longer have to depend upon induction from repeated observation, that

... we could foresee the effect, even without experience; and might, at first, pronounce with certainty concerning it, by mere dint of thought and reasoning.”
Now whether it be so or not, can only appear upon examination; and it is incumbent on these philosophers to make good their assertion, by defining or describing that necessity, and pointing it out to us in the operations of material causes. (Hume, 1737)

In fact he is quite emphatic about remaining completely open minded about whether the problem of Causation can be solved (contrary to many later (lesser) philosophers and scientists who write that he proved it could not be solved - a sadly common occurrence of a great mind being misunderstood or misrepresented by later scientists!)

I must confess that a man is guilty of unpardonable arrogance who concludes, because an argument has escaped his own investigation, that therefore it does not really exist. I must also confess that, though all the learned, for several ages, should have employed themselves in fruitless search upon any subject, it may still, perhaps, be rash to conclude positively that the subject must, therefore, pass all human comprehension. (Hume, 1737)
This question (the problem of necessary connection and causation) 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. (Hume, 1737)


1.4 Our Guiding Metaphysical Principles Must be Simple, Logical and Sensible

It must, however, be confessed, that this species of skepticism, when more moderate, may be understood in a very reasonable sense, and is a necessary preparative to the study of philosophy, by preserving a proper impartiality in our judgements, and weaning our mind from all those prejudices, which we may have imbibed from education or rash opinion. To begin with clear and self-evident principles, to advance by timorous and sure steps, to review frequently our conclusions, and examine accurately all their consequences; though by these means we shall make both a slow and a short progress in our systems; are the only methods, by which we can ever hope to reach truth, and attain a proper stability and certainty in our determinations. ... 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. (Hume, 1737)

Currently, due to its failures and excesses, Metaphysics is scorned by many philosophers as being impossible, but this need not be the case as Einstein remarks;

In order that thinking might not degenerate into "metaphysics", or into empty talk, it is only necessary that enough propositions of the conceptual system be firmly enough connected with sensory experiences and that the conceptual system, in view of its task of ordering and surveying sense experience, should show as much unity and parsimony as possible. Beyond that, however, the 'system' is (as regards logic) a free play with symbols according to (logically) arbitrarily given rules of the game. ... by his clear critique Hume did not only advance philosophy in a decisive way but also - though through no fault of his - created a danger for philosophy in that, following his critique, a fateful 'fear of metaphysics' arose which has come to be a malady of contemporary empiricist philosophising; this malady is the counterpart to that earlier philosophising in the clouds, which thought it could neglect and dispense with what was given by the senses.
However, I see no 'metaphysical' danger in taking the thing (the object in the sense of physics) as an independent concept into the system together with the proper spatio-temporal structure.
..it finally turns out that one can, after all, not get along without 'metaphysics'. (Albert Einstein, 1944)

Einstein is absolutely correct about Metaphysics, that it is meaningful only if it begins from Principles which correspond sensibly to what we observe about the behaviour of objects in this Space around us. And so like Einstein, I am;

.. anxious to draw attention to the fact that this theory is not speculative in origin; it owes its invention entirely to the desire to make physical theory fit observed fact as well as possible. We have here no revolutionary act but the natural continuation of a line that can be traced through centuries. (Albert Einstein)

The Metaphysics of Space and Motion abides by these principles of simplicity and connection to the sensible world of experience. As Aristotle so importantly argues;

that among entities there must be some cause which moves and combines things. (Aristotle)

Thus to simplify and understand the truth of any scientific/philosophical work of Metaphysics, and thus of Cosmology, we must always ask three questions;
1. What do they say Exists (material substance, relation, process, etc.)
2. What are the 'Necessary Connections' between 'What Exists'.
3. How does this explain the Motion of Matter in Space, which we clearly sense about us.

The Wave Structure of Matter (WSM) explains these questions very simply and sensibly;
This Space that we all Exist in and Sense around us Exists as a Wave-Medium, and Matter Exists as a Spherical Standing Wave (which determines) the size of our Finite Spherical Universe within an infinite Space. Thus the 'Necessary Connections' Exist due to Space and the change in Velocity of the Spherical (Ellipsoidal) In-Waves as they flow in through other matter - which necessarily determines where they meet at their Wave-Center, and which we see as the accelerated motion of the particle.


1.5 All Knowledge of Reality Ultimately Comes from Our Senses and Experience of the Motion of Matter in Space

It is experience only, which gives authority to human testimony; and it is the same experience, which assures us of the laws of Nature.
... But though our thought seems to possess this unbounded liberty, we shall find, upon a nearer examination, that it is really confined within very narrow limits, and that all this creative power of the mind amounts to no more than the faculty of compounding, transposing, augmenting, or diminishing the materials afforded us by the senses and experience.
Here, therefore, is a proposition, which not only seems, in itself, simple and intelligible; but, if a proper use were made of it, might render every dispute equally intelligible, and banish all that jargon, which has so long taken possession of metaphysical reasonings, and drawn disgrace upon them. (Hume, 1737)

... the senses alone are not implicitly to be depended on; we must correct their evidence by reason, and by considerations, derived from the nature of the medium, the distance of the object, and the disposition of the organ, in order to render them, within their sphere, the proper criteria of truth and falsehood. (David Hume, 1737)

Pure logical thinking cannot yield us any knowledge of the empirical world; all knowledge of reality starts from experience and ends in it. (Albert Einstein, 1954)

I absolutely agree with these two wonderful minds of human history. The Metaphysics of Space and Motion and the Wave Structure of Matter exists purely as a consequence of this desire to explain the things that we sense by observation and experiment of Matter in the Space around us. (As simply and sensibly as possible, while always accepting that while our senses are limited and deceptive, they are also the final arbitrator of Truth about Reality.


1.6 On 'Naive Realism' and that our Mind 'Represents' the World of our Senses

The table, which we see, seems to diminish, as we remove farther from it: but the real table, which exists independent of us, suffers no alteration: it was, therefore, nothing but its image, which was present to the mind. These are the obvious dictates of reason; and no man, who reflects, ever doubted, that the existences, which we consider, when we say, this house and that tree, are nothing but perceptions in the mind, and fleeting copies or representations of other existences, which remain uniform and independent. (Hume, 1737)

It is true that our mind somehow 'Represents' the world of our senses, this has been known since the time of early Greek and Indian Philosophy. A red apple is only red in our Minds, in reality it exists as a collection of many trillions of Wave-Centers (particles) that are trapped in particular frequencies of cyclical Motion (orbits/wave functions). These oscillating Wave-Centers also must have oscillations of their In and Out Waves which can 'resonantly couple' with the oscillations of Wave-Centers in my eye. This explains how I am able to see the apple and its particular frequencies of wave-motion, but I cannot explain how our mind 'Represents' frequencies of waves as colours. (And I would greatly appreciate any thought on this subject of 'Representation' and how our mind 'creates/constructs' colours, tastes, feelings, etc.)

It seems evident, that men are carried, by a natural instinct or prepossession, to repose faith in their senses; and that, without any reasoning, or even almost before the use of reason, we always suppose an external universe, which depends not on our perception, but would exist, though we and every sensible creature were absent or annihilated. Even the animal creation are governed by a like opinion, and preserve this belief of external objects, in all their thoughts, designs and actions. ... This very table, which we see white, and which we feel hard, is believed to exist, independent of our perception, and to be something external to our mind, which perceives it. Our presence bestows not being on it: our absence does not annihilate it. It preserves its existence uniform and entire, independent of the situation of intelligent beings, who perceive or contemplate it. (Hume, 1737)

It is both obvious and hard to prove that, as Hume says, the real world does exist independently of our ideas (thus rejecting extreme Idealism). Evolution tells us that matter existed in Space and was evolving well before our existence (just think back several billion years) thus if Humanity (and our ideas) did not exist, Matter in this Space of the Universe would still continue to exist, just as it did prior to our evolution and existence.

A few more relevant quotes from Hume (who was a great skeptical philosopher).

It is universally allowed by modern enquirers, that all the sensible qualities of objects, such as hard, soft, hot, cold, white, black, ... are merely secondary, and exist not in the objects themselves, but are perceptions of the mind, without any external archetype or model, which they represent. If this be allowed, with regard to secondary qualities, it must also follow, with regard to the supposed primary qualities of extension and solidity; nor can the latter be any more entitled to that denomination than the former. (David Hume)

.. if it be a principle of reason, that all sensible qualities are in the mind, not in the object. Bereave matter of all its intelligible qualities, both primary and secondary, you in a manner annihilate it, and leave only a certain unknown, inexplicable something, as the cause of our perceptions .. (David Hume)

But that all his arguments, (Dr. Berkeley), though otherwise intended, are, in reality, merely sceptical, appears from this, that they admit of no answer and produce no conviction. Their only effect is to cause that momentary amazement and irresolution and confusion, which is the result of scepticism. (David Hume)

Perhaps it is fitting to end this section with a quote from Berkeley. Certainly his aims of giving certainty to knowledge were admirable (he disliked atheists, skeptics and abstraction!). However his Idealism fails (as it ultimately depends on God to connect the many human minds and their common perceptions of the world).

Philosophy being nothing else but the study of wisdom and truth, it may with reason be expected, that those who have spent most time and pains in it should enjoy a greater calm and serenity of mind, a greater clearness and evidence of knowledge, and be less disturbed with doubt and difficulties than other men.
Yet so it is we see the illiterate bulk of mankind that walk the high-road of plain, common sense and are governed by the dictates of nature, for the most part easy and undisturbed. To them nothing that is familiar appears unaccountable or difficult to comprehend. They complain not of any want of evidence in their senses, and are out of all danger of becoming sceptics.
But no sooner do we depart from sense and instinct to follow the light of a superior principle, to reason, meditate and reflect on the nature of things, but a thousand scruples spring up in our minds, concerning those things which before we seemed fully to comprehend. Prejudices and errors of sense do from all parts discover themselves to our view; and endeavouring to correct these by reason we are insensibly drawn into uncouth paradoxes, difficulties, and inconsistencies, which multiply and grow upon us as we advance in speculation; till at length, having wandered through many intricate mazes, we find ourselves just where we were, or, which is worse, sit down in a forlorn scepticism. (George Berkeley)


Concluding Remarks

A sensible skepticism is important if we are not to be deceived. However, at times blind skepticism causes harm for new knowledge. Clearly our Metaphysical Principles are important and necessary. From the Foundations of One thing, Space, existing as a Wave-Medium, I am quite sure that we can now proceed to satisfy these skeptical requirements and demonstrate that the problem of 'what exists' and their 'necessary connexion' and causation has been solved.

I absolutely agree with Kant that this skeptical method of science is profoundly important to Humanity;

It will render an important service to reason, by substituting the certainty of scientific method for that random groping after results without the guidance of principles, which has hitherto characterized the pursuit of metaphysical studies. It will render an important service to the inquiring mind of youth, by leading the student to apply his powers to the cultivation of genuine science, instead of wasting them, as at present, on speculations which can never lead to any result, or on the idle attempt to invent new ideas and opinions. But, above all, it will confer an inestimable benefit on morality and religion, by showing that all the objections urged against them may be silenced for ever by the Socratic method, that is to say, by proving the ignorance of the objector. For, as the world has never been, and no doubt, never will be, without a system of metaphysics of one kind or another, it is the highest and weightiest concern of philosophy to render it powerless for harm, by closing up the sources of error. (Kant, 1781)

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