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The Wave Structure of Matter (WSM)
One Substance - One Law - One Logic


"Behind it all is surely an idea so simple, so beautiful, that when we grasp it we will all say to each other, how could it have been otherwise? How could we have been so stupid?" (Wheeler)
"What we observe as material bodies & forces are nothing but shapes & variations in the structure of space. Subject & object are one." (Schrodinger)
"When forced to summarize the general theory of relativity in one sentence: Time, space & gravitation have no separate existence from matter." (Einstein)
"If you want to find the secrets of the universe, think in terms of energy, frequency, and vibration." (Tesla)



WSM Human-AI Collaboration (August, 2026)

One Vibrating Space: From Ancient Philosophy to Mathematical Physics, 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.



Philosophy: Free Will vs. Determinism

The Wave Structure of Matter (WSM) explains Limited Free Will (not Determinism)
in a Necessarily Connected Finite Spherical Universe within an Infinite Space.
Philosophers Quotes / Quotations Free Will (Freewill) vs. Determinism

Free Will and Determinism - Philosophy of Free Living Will - Limited Free Will in a Necessarily Connected (Logical) Universe - Karl Popper What we need for understanding rational human behaviour - and indeed, animal behaviour - is something intermediate in character between perfect chance and perfect determinism - something intermediate between perfect clouds and perfects clocks. (Karl Popper, 1975)

Free Will and Determinism - Philosophy of Free Living Will - Limited Free Will in a Necessarily Connected (Logical) Universe - Michel de Montaigne Since actions and performances are not wholly in our power and since nothing is really in our power but our will - it is on the will that all the rules and duties of Man are based and established.
(Michel de Montaigne, 1572)


Limited Free Will & Determinism in a Necessarily Connected Universe - Philosophy Quotes on Free Will & Determinism - Links / Free Will, Determinism - Top of Page

A Simple Solution to the Problem of Free Will & Determinism

The problem of Free Will vs. Determinism has puzzled philosophers for thousands of years. It is a profound problem for without free will there can be no morality, no right and wrong, no good and evil. All our behaviour would be pre-determined and we would have no creativity or choice.

One important lesson of philosophy is that we must carefully define our words if we are to understand and reason correctly - and that these words must correspond to real things that exist if we wish to talk meaningfully about the real world and thus avoid self deception.

If we examine these words free-will and determinism carefully we find they do not exist in physical reality, they are simply concepts made up by humans, just as we are able to imagine 'dragons' and 'particles' in our mind / imagination. i.e.

Free-Will: Does any person have the freedom to transport their body to the moon, to float above the earth? Obviously we can build machines to do this, but in every case our freedom is limited by physical reality and the laws of Nature - and we observe this in everything we do - driving cars, walking, using lights at night.
The important distinction is to say that we have Limited Free Will, the reason for this distinction will become apparent very shortly when we solve this problem.

Determinism: Likewise, is anything in reality fully deterministic? It is true that we can determine things in small regions of space over short periods of time. So for example we can determine the future position of the earth around the sun. But this is also a Limited Determinism - in 10 billion years we have no idea what will have become of the matter of the earth (our sun only has around 5 billion years of fuel left before it collapses then explodes).

Reality is Necessarily Connected (Limited Determinism, Limited Freedom)

The only absolute way to solve this problem of free will vs. determinism is to know what exists and how it is interconnected. This requires a correct understanding of the interconnected relationship between mind, matter and space.
Here we work from the most simple foundation, the wave structure of matter in space (for the latest summary of WSM see Truth Statements on Physical Reality).

From this foundation we find that matter is necessarily connected in space (by the spherical in and out waves that form the wave center 'particle') but this is within infinite space, and continually has waves flowing in from infinity that can never be pre-determined. See Cosmology.
This also explains the uncertainty of Quantum Theory and that we can never exactly know where each successive in-wave will meet at its wave-center 'particle', thus we can never exactly know both the future motion (momentum) and position of the 'particle' (see: Heisenberg's Uncertainty Principle).

For a system to be absolutely deterministic it must be both;

i) Necessarily connected (thus logical)

ii) You must know the initial position and motion of its parts.

For the wave structure of matter the first part is correct, reality is logically interconnected due to wave interactions in space. However, an Infinite system of waves in infinite space can never be pre-determined.
Thus we live in a necessarily connected universe that has limited determinism and limited freedom.

On Chance and Certainty in a Necessarily Connected Universe

Let us take a normal pack of playing cards (52 cards - 13 Hearts, 13 Diamonds, 13 Spades, and 13 Clubs) and place the Ace of Hearts face down on the top of the pack.
Thus I am both necessarily connected to the Ace of Hearts (as I am to all matter in the universe) and I have pre-determined knowledge of the exact card (stored as repeating motions in my brain), thus I can be certain that if I turn the card over it will be the Ace of Hearts.

Thus when I have complete knowledge of the system then there is no chance involved - the system is necessarily connected and pre-determined.

Now let me place this pack of cards in front of someone else who has no knowledge of the fact that the Ace of Hearts is the top card. So while they are still necessarily connected to the top card they do not have pre-determined knowledge of this card. Thus they only have a one in fifty two chance of guessing the card correctly (chance).

Thus when I have incomplete knowledge of the system then there is chance involved - the system is necessarily connected and non-determined.

On Repeating and Non-Repeating Interconnected Motion

Another example of how chance and certainty can both exist in an interconnected universe is found when we consider that interconnected motion occurs in two different ways;

i) Non Repeating Interconnected Motion. e.g. Watching clouds moving in the sky. This motion cannot be predicted and gives rise to uncertainty in the future (chance).

ii) Repeating Interconnected Motion. e.g. Watching a pendulum (any clock). This motion can be determined and gives rise to certainty in the near future (this is the source of all logic).

From these above two examples we can conclude that;

Certainty exists when we do have pre-determined knowledge - either stored in repeating motions in our brain (memory / knowledge of the top card) or in repeating motions of the object we are observing (the pendulum).

Chance exists when we do not have pre-determined knowledge, either due to ignorance (our mind lacks knowledge of repeating motions, e.g. the top card) or the object we are observing does not have repeating motions (clouds).

Importantly, both examples (chance and certainty) exist and occur within a necessarily connected universe that has limited determinism, limited freedom.

The Solution

So how can we have any freedom at all if reality is necessarily connected? As Spinoza writes;

Spinoza - There is no mind absolute or free will, but the mind is determined for willing this or that by a cause which is determined in its turn by another cause, and this one again by another, and so on to infinity. There is no mind absolute or free will, but the mind is determined for willing this or that by a cause which is determined in its turn by another cause, and this one again by another, and so on to infinity. ... A body in motion or at rest must be determined for motion or rest by some other body, which, likewise, was determined for motion or rest by some other body, and this by a third and so on to infinity. (Spinoza, 1673)

The problem here is that science and philosophy became dominated by Newtonian concepts, most notably the idea that matter was made of particles. Reality is not made of discrete inert particles that are acted on by external forces. Reality is continuously connected and dynamic. The wave structure of matter explains this.

One important consequence of this is that matter interactions are a continual two way communication of knowledge due to the spherical in and out waves. This means that every wave center 'particle' is vibrating (communicating) with all other matter in the observable universe, with a continual feedback occurring. It is this interconnected feedback that is important.

Let us now combine this knowledge from above to solve this problem of determinism Vs. free will. To do this consider the following example of a pendulum.

On Pendulums, repeating motion and certaintyImagine a pendulum swinging from left to right in front of you - and you have a button to push. If you push the button when the pendulum is on the left, you get an electric shock, if you push the button when the pendulum is on the right, you get some dark chocolate (and red wine perhaps).

Immediately we see that both futures are possible - it simply depends upon the time we push the button in the repeating cycle. It is this use of timing in repeating motions that allows us to know the future and select different possible futures - to have limited freedom in a necessarily connected universe.

For humans, and many life forms, they can memorize their senses using interconnected repeating wave motions in their body / brain to store knowledge. Thus they can learn through experimentation to push the button for reward, to avoid pain. Further, to begin we can use chance as the source of our experimentation, and because of the two way interconnection of matter, we can learn from the effects these chance decisions have upon us, to ultimately learn enough knowledge to make certain decisions, to choose from many possible futures.

Hence evolution of our brain and mind can use this mix of chance and certainty to allow us to creatively think of new and novel ideas and relationships (chance) that we can then remember (certainty). And we can use either chance or certainty (probably a mix of both) to select from many possible futures.
Obviously this is a very simplified explanation of how our mind works, and there may be millions of ‘layers’ to these chance / certain selections, each with various degrees of probabilities for selecting different outcomes.

Karl Popper also intuitively understood that there had to be some 'balance' between complete determinism (clocks) and complete disorder and chance (clouds) when he wrote;

Karl Popper on Free Will and DeterminismWhat we need for understanding rational human behaviour - and indeed, animal behaviour - is something intermediate in character between perfect chance and perfect determinism - something intermediate between perfect clouds and perfects clocks. (Popper, 1975)

He was absolutely right, for a necessarily connected, but infinite and non-determined universe allows us to have limited free will. We can act morally, create a better future for ourselves and our children, for life on earth as is necessary to ensure the survival of our species. But it is limited freedom, and it requires our minds to be correctly programmed - to understand the truth about our existence in the universe as the source of wisdom and freedom.

Summary

Physical reality is infinite and necessarily connected - it has limited determinism, limited freedom. In this necessarily connected but non determined universe, there are many possible futures.

The 'we' that selects from these possible futures is our mind which is also a programmed machine. The mind makes decisions based upon its programming which is determined by an interplay between our genes and our physical and cultural environment. It is limited / programmed freedom - but we can program ourselves - this is the source of our freedom.

The selection of possible futures occurs either from;
i) Chance due to lack of knowledge of an interconnected system.
ii) Certainty due to timing of decisions relating to repeated interconnected motions (logic).

This limited freedom is in harmony with both WSM and Darwinian evolution, that we learn / memorize different behaviors based upon our interaction with environment and our resultant survival. This limited freedom explains the evolution of intelligence and morality.

It is how we educate our minds, where we choose to live, that ultimately determines the interplay between chance and certainty that decides on the things we will choose to do.

In ending, I wish to emphasise that I am answering the question of determinism vs. free will not from mere philosophical speculation, but deduced from metaphysical foundations - of how waves behave in space. I have no moral or religious bias, my interest is truth and reality - the source of wisdom.

Geoff Haselhurst


Limited Free Will & Determinism in a Necessarily Connected Universe - Philosophy Quotes on Free Will & Determinism - Links / Free Will, Determinism - Top of Page

Free Will and Determinism - Philosophy of Free Living Will - Limited Free Will in a Necessarily Connected (Logical) Universe - David Hume

Philosophy Quotes on Free Will
Chance and Determinism

 

Albert Einstein on Determinism

I do not believe in freedom of will. Schopenhauer's words, 'Man can indeed do what he wants, but he cannot want what he wants', accompany me in all life situations and console me in my dealings with people, even those that are really painful to me. This recognition of the unfreedom of the will protects me from taking myself and my fellow men too seriously as acting and judging individuals and losing good humour. (Albert Einstein in Mein Glaubensbekenntnis, August 1932)

Everything is determined by forces over which we have no control. It is determined for the insect as well as for the star. Human beings, vegetables, or cosmic dust - we all dance to a mysterious tune, intoned in the distance by an invisible piper. (Albert Einstein)

Einstein believed in determinism because Einstein's relativity is a deterministic theory. However, physical reality is different than Einstein imagined, quantum physics based upon wave equations provides a more complete description of reality.
I do agree though, humans are programmed machines. We have some control over our programming, but less choice than we realise for many things.

Determinism is Limited

For example, the motion of planets is not determinable if we consider long periods of time, as Eric Lerner explains;

The Cartesian idea of a set of universal laws which control natural occurrences exercised a powerful appeal in the succeeding centuries. Laplace, even as he developed his theory of a naturally evolving cosmos, endorsed the idea that, given the laws of gravitation, Newtonian mechanics, and the 'initial conditions' of the universe, every subsequent event not only can be accurately predicted, but is predetermined. The whole history of the universe, and of earth, is the inevitable operation of a set of eternal laws. In modern terms, Laplace believed that mathematical physics constitutes a Theory of Everything.

This doesn't mean we can't make useful predictions about the future. We can if the amount of time we try to predict is short enough. For unstable systems this time limit is the amount of time that passes between collisions of the particles that make up the system. For the comet this is a single orbit, but for a gas a tiny fraction of a second. We can, however, make useful statistical predictions; on average the comet will probably last about 150 orbits. And of course many systems are sufficiently close to stable that we can ignore their instability because the rate at which their instabilities grow is far longer than we need to worry about. For example, the orbits of the planets in our actual solar system appear to be unpredictable in excess of twenty million years from now. For all intents and purposes, in plotting a space mission the system is absolutely stable, predictable and reversible. (Lerner, 1991)

David Hume Quotes on Determinism Vs. Free Will

Hume comes to a similar conclusion as Spinoza and Einstein, our freedom is an illusion. However, if you read the David Hume page then you will see how the wave structure of matter (WSM) solves Hume's problem of causation and necessary connection.

The thing that they failed to understand to solve this problem is that reality always has a two way interconnection, not a one way cause and effect. The spherical in and out waves explain this. This reality is causally connected, has limited determinism ( being large wave structures within infinite space) and has limited freedom (you are bound by the laws of Nature, determined by the wave properties of space).

Why has the will an influence over the tongue and fingers, not over the heart or liver? (David Hume, 1737)

We learn the influence of our will from experience alone. And experience only teaches us, how one event constantly follows another; without instructing us in the secret connexion, which binds them together, and renders them inseparable. (David Hume, 1737)

The command of the mind over itself is limited, as well as its command over the body; and these limits are not known by reason, or any acquaintance with the nature of cause and effect, but only by experience and observation, as in all other natural events and in the operation of external objects. Our authority over our sentiments and passions is much weaker than that over our ideas; and even the latter authority is circumscribed within very narrow boundaries. (David Hume, 1737)

This self-command is very different at different times. A man in health possesses more of it than one languishing with sickness. We are more master of our thoughts in the morning than in the evening: Fasting, than after a full meal. (David Hume, 1737)

I shall say that I know with certainty that he is not to put his hand into the fire and hold it there till it be consumed: And this event, I think I can foretell with the same assurance, as that, if he throw himself out at the window, and meet with no obstruction, he will not remain a moment suspended in the air. (David Hume, 1737)

Necessity, according to the sense in which it is here taken, has never yet been rejected, nor can ever, I think, be rejected by any philosopher. It may only, perhaps, be pretended that the mind can perceive, in the operations of matter, some farther connexion between the cause and effect; and connexion that has not place in voluntary actions of intelligent beings. 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.
It would seem, indeed, that men begin at the wrong end of this question concerning liberty and necessity, when they enter upon it by examining the faculties of the soul, the influence of the understanding, and the operations of the will. Let them first discuss a more simple question, namely, the operations of body and of brute unintelligent matter; and try whether they can there form any idea of causation and necessity, except that of a constant conjunction of objects, and subsequent inference of the mind from one to another. (David Hume, 1737)

By liberty, then, we can only mean a power of acting or not acting, according to the determinations of the will; that is, if we choose to remain at rest, we may; if we choose to move, we also may. (David Hume, 1737)

It is universally allowed that nothing exists without a cause of its existence, and that chance, when strictly examined, is a mere negative word, and means not any real power which has anywhere a being in nature. But it is pretended that some causes are necessary, some not necessary. (David Hume, 1737)

.. liberty, when opposed to necessity, not to constraint, is the same thing as chance; which is universally allowed to have no existence. (David Hume, 1737)

Necessity may be defined in two ways, conformably to the two definitions of cause, of which it makes an essential part. It consists either in the constant conjunction of like objects, or in the inference of the understanding from one object to another. (David Hume)

Actions are, by their very nature, temporary and perishing; and where they proceed not from some cause in the character and disposition of the person who performed them, they can neither redound to his honour, if good; nor infamy, if evil. (David Hume, 1737)

No contingency anywhere in the universe; no indifference; no liberty. While we act, we are, at the same time, acted upon. The ultimate Author of all our volitions is the Creator of the world, who first bestowed motion on this immense machine, and placed all beings in that particular position, whence every subsequent event, by an inevitable necessity, must result. Human actions, therefore, either can have no moral turpitude at all, as proceeding from so good a cause; or if they have any turpitude, they must involve our Creator in the same guilt, while he is acknowledged to be their ultimate cause and author. (David Hume, 1737)


Limited Free Will & Determinism in a Necessarily Connected Universe - Philosophy Quotes on Free Will & Determinism - Links / Free Will, Determinism - Top of Page

Free Will and Determinism - Philosophy of Free Living Will - Limited Free Will in a Necessarily Connected (Logical) Universe - Sir Isaac Newton - Newtons Mechanics Links: Free Will, Determinism, Chance, Causation, Necessary Connection

Cosmology -The supreme task of the physicist is to arrive at those universal elementary laws from which the cosmos can be built by pure deduction (Albert Einstein, 1954). The Wolff-Haselhurst Cosmology explains a Perpetual Finite Spherical Universe within an Infinite Eternal Space. The Spherical Standing waves determines the size of our finite spherical universe within an infinite Space (Matter is large not small, we only 'see' the Wave-Center / 'particle' effect which has greatly confused physics). Huygens' Principle explains how other matter's out waves combine to form our matter's spherical In-Waves, which then deduces both Mach's Principle and the redshift with distance (without assuming Doppler effect due to an expanding universe / Big Bang). This also explains how matter interacts with all other matter in the universe (why we can see stars) as matter is the size of the universe, but we only 'see' the high wave amplitude wave-centers / 'particles'.

Quantum Physics: Quantum Theory / Wave Mechanics - Historical Analysis and Solutions to Problems of Quantum Theory (Quantum Mechanics).On Planck, Einstein, Bohr, de Broglie, Schrodinger, Heisenberg, Born, Feynman, Wolff. 'Experiments on interference made with particle rays have given brilliant proof that the wave character of the phenomena of motion as assumed by Quantum Theory do, really, correspond to the facts.' (Albert Einstein, 1940)

Hume, David - The Spherical Wave Structure of Matter in Space explains Hume's Problem of 'Necessary Connexion', Causation and Skeptic ism. 'Experience only teaches us, how one event constantly follows another; without instructing us in the secret connexion, which binds them together, and renders them inseparable. ... What that medium is, I must confess, passes my comprehension; and it is incumbent on those to produce it, who assert that it really exists ... 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.'

Schopenhauer, Arthur - Famous for Introducing Eastern Mysticism into Western Philosophy, being Pessimistic (Realistic) about the Nature of Man, and critiquing Kant's Metaphysics. Quotations from The World as Will and Representation. 'But life is short, and truth works far and lives long: let us speak the truth.'

Metaphysics: Problem of One and the Many - Brief History of Metaphysics and Solutions to the Fundamental Problems of Uniting the; One and the Many, Infinite and the Finite, Eternal and the Temporal, Absolute and Relative, Continuous and Discrete, Simple and Complex, Matter and Universe.

Metaphysics: Philosophy - Uniting Metaphysics and Philosophy by Solving Hume's Problem of Causation, Kant's Critical Idealism, Popper's Problem of Induction, Kuhn's Paradigm.

Newton, Isaac - Newton's Absolute Space is correct. His error was to further assume the existence of Matter 'particles', Time, and Forces, which are caused by the Spherical Wave Motions of Space.



Theology
Summary & History of World Religions. On Morality, Free Will & God

'The essence of any world religion lies solely in the answer to the question: why do I exist, and what is my relationship to the infinite universe that surrounds me?' (Leo Tolstoy)
Theology Major
World Religions
'The ultimate reason of things must lie in a necessary substance, in which the differentiation of the changes only exists eminently as in their source; and this is what we call God. ... God alone is the primary Unity, or original simple substance.' (Gottfried Leibniz, 1670)
God: One Infinite
Substance
'What we need for understanding rational human behaviour - and indeed, animal behaviour - is something intermediate in character between perfect chance and perfect determinism - something intermediate between perfect clouds and perfects clocks.' (Karl Popper, 1975)
Free Will
Determinism
'There is nothing divine about morality; it is a purely human affair. ... If people are good only because they fear punishment, and hope for reward, then we are a sorry lot indeed'. (Albert Einstein, on Morality and Ethics)
Morality Ethics
Religion Virtue
'True religion is that relationship, in accordance with reason and knowledge, which man establishes with the infinite world around him, and which binds his life to that infinity and guides his actions.' (Leo Tolstoy, 1882)
Leo Tolstoy
True Religion
'I believe in Spinoza's God who reveals himself in the orderly harmony of what exists, not in a God who concerns himself with the fates and actions of human beings.' (Albert Einstein)
Albert Einstein
God Religion
'Religion is an illusion and it derives its strength from its readiness to fit in with our instinctual wishful impulses'. (Sigmund Freud, famous Atheist)
Atheism Agnostic
Beliefs Quotes
'The most beautiful and most profound experience is the sensation of the mystical. It is the sower of all true science. He who can no longer wonder and stand rapt in awe, is as good as dead'. (Albert Einstein)
Mysticism
Mystical Mystics
'The word pantheism derives from the Greek words pan (='all') and theos (='God'). Thus pantheism means 'All is God'. In essence, pantheism holds that there is no divinity other than the universe and nature.' (Harrison, 1999)
Pantheism Beliefs
Pantheist Religion
In Hinduism, Shiva the Cosmic Dancer, is perhaps the most perfect personification of the dynamic universe. Through his dance, Shiva sustains the manifold phenomena in the world, unifying all things by immersing them in his rhythm and making them participate in the dance. (Capra, 1975)
Hinduism Beliefs
Hindu Gods
'The gift of truth excels all other gifts. ... The world is continuous flux and is impermanent. ... Transient are conditioned things. Try to accomplish your aim with diligence.' (Buddha)
Buddhism Religion
Beliefs History
'To learn and from time to time to apply what one has learned, isn't that a pleasure? ... When anger rises, think of the consequences. ... Hold faithfulness and sincerity as first principles.' (Confucius, Analects)
Confucianism
Confucius Beliefs
'The Tao that can be expressed is not the Eternal Tao. ... There is a thing, formless yet complete. Before heaven and earth it existed. We do not know its name, but we call it Tao. It is the Mystery of Mysteries.' (Lao Tzu, Tao te Ching)
Tao Taoism
Religion Beliefs
Aphrodite (Roman name: Venus) was the Greek Goddess of love, beauty, and the protector of sailors. The poet Hesiod said that Aphrodite was born from sea-foam which inspired Botticelli's painting of the greek goddess on a scallop shell.
Greek Gods
Myths
Who is the bravest hero? He who turns his enemy into a friend. ... Judge not thy neighbor until thou art come into his place. (Jewish Proverbs)
Judaism History
Jewish Jews
You shall love the Lord your God with all your heart, and with all your soul, and with all your mind. The second is like it, You shall love your neighbour as yourself. On these two commandments depend all the law and the prophets. (Matthew 22:37-40)
Christianity Jesus
Christ Christian
The word Catholic means 'throughout the whole, universal.' 'The Catholic Church is called Catholic because it is throughout the world, from one end of the earth to the other.' (St Cyril of Jerusalem, 347AD)
Catholicism
Catholic Church
'There is no god but God; Muhammad (Mohammed) is the messenger of God.' 'Even as the fingers of the two hands are equal, so are human beings equal to one another. No one has any right, nor any preference to claim over another. You are brothers.' (Final Sermon of Muhammad)
Islam Muslim
Religion Quran

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.

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Just click on the Social Network links at top of page, or copy a nice image or quote you like and share it. We have a wonderful collection of knowledge from the greatest minds in human history, so people will appreciate your contributions. In doing this you will help a new generation of scientists see that there is a simple sensible explanation of physical reality (One Substance, One Law) - the source of truth and wisdom, the only cure for the madness of man! Thanks! Geoff Haselhurst (Updated May, 2025)

A new scientific truth does not triumph by convincing its opponents and making them see the light, but rather because its opponents eventually die, and a new generation grows up that is familiar with it. (Max Planck, 1920)

"All that is necessary for evil to succeed is for good people to do nothing."
(Edmund Burke)

"In a time of universal deceit - telling the truth is a revolutionary act."
(George Orwell)

"Hell is Truth Seen Too Late."
(Thomas Hobbes)







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