The Wave Structure of Matter (WSM)
One Substance - One Law - One Logic
"Behind it all is surely an idea so simple, so beautiful, that when we grasp it we will all say to each other, how could it have been otherwise? How could we have been so stupid?" (Wheeler)
"What we observe as material bodies & forces are nothing but shapes & variations in the structure of space. Subject & object are one." (Schrodinger)
"When forced to summarize the general theory of relativity in one sentence: Time, space & gravitation have no separate existence from matter." (Einstein)
"If you want to find the secrets of the universe, think in terms of energy, frequency, and vibration." (Tesla)
WSM Human-AI Collaboration (August, 2026)
One Vibrating Space: From Ancient Philosophy / Metaphysics to Mathematical Physics, Evolution, Life, Mind and Civilisation
For three decades, WSM was principally a philosophical picture of one infinite, eternal, continuous elastic Space. Between May and August 2026, human–AI collaboration transformed it into a tiered mathematical-physics research programme: exact wave constructions, geometric identities, quantitative leading results, no-go theorems, numerical controls, bounded open calculations and clear falsification requirements.
In WSM, electron and positron are proposed as opposite carrier-phase spherical standing waves formed by the Huygens sum of background plane waves from every direction. Each has radial vibration—the candidate physical basis of charge—and axis-free spherical phase circulation—the candidate basis of spin. This open, flow-through wave centre is the e-sphere.
A stationary e-sphere is spherical. Curvature on an incoming wave changes its internal directional energy density and deforms it into a moving wave egg: the near side flattens, the far side elongates, the convergence centre shifts, and the waves reclose around a new position. Its changing internal \(E_d\), shape and reclosure are its motion. WSM therefore proposes a wave-geometric reading of inertia and \(F=ma\): force is imposed curvature, mass is resistance encoded by the recurrent form, and acceleration is its changing deformation. Action must calculate this geometry; geometry also constrains the action, as \(\pi\) and \(E_{\rm geo}\) already demonstrate.
The One Law
\[ \frac{c'}{c_0}=\frac{E_d}{E_{d0}}, \qquad \lambda'=\frac{c'}{f_0}, \qquad k'=\frac{\omega_0}{c'}. \]
At proposed universal carrier frequency \(f_0\), directional energy density changes local wave speed, wavelength and accumulated phase.
The Causal Engine
Relative phase → reinforcement or cancellation → directional \(E_d\) → \(c'\) and \(\lambda'\) → travel-time difference → forward or rear wavefront curve → changed Huygens reclosure → centre motion, deformation and interaction.
Changed out-waves from one e-sphere cross fresh in-waves elsewhere. Matter therefore interacts not across empty distance, but through propagated changes in the one Space constituting every e-sphere.
Status Key
A = exact mathematics or established observation; B = deduction under stated premises; C = proposed physical identification; D = decisive calculation or experiment still open; Q = rejected or quarantined shortcut.
One connected argument: Space → waves → recurrence → matter → life → mind → knowledge → wisdom.
1. Wave Structure of Matter: All Things from One Thing
https://www.spaceandmotion.com/2026/ai-summary-wsm-truth-reality.html
One infinite, eternal, continuous elastic Space, active with real longitudinal waves. Matter is proposed not as a pellet or shell, but as an open e-sphere: waves converge from every direction, cross its changing centre, continue outward and recurrently rebuild the form. Their exchanged phases alter directional \(E_d\); the One Law converts that difference into speed, wavelength, curvature and changed reclosure. The decisive test is whether one frozen nonlinear action calculates stable matter and its measured interactions without separate substances or fitted repairs.
2. The One and the Many: From Greek Philosophy to Wave Physics
Parmenides defended continuous Being; Heraclitus lawful flux. Aristotle sought active substance and necessary cause, connected matter with form and motion, and defined time through motion. WSM gives these insights one physical form: Space persists while finite wave organisations change and recur. The Many are not detached substances but organisations of the One—distinct without disconnection. The question becomes exact: can one continuous wave law generate plurality, causation and knowledge?
3. Action of Vibrating Space: From Background Waves to the E-Sphere
https://www.spaceandmotion.com/2026/wsm-classical-action-quantum-wave.html
All-direction plane waves form the exact spherical pair \[ \chi=j_0(kr)\cos\tau, \qquad \mathbf V=\hat{\mathbf r}\,j_1(kr)\sin\tau. \] Waves cross the centre; none reflects from an electron wall. Phase reinforcement raises directional \(E_d\) and advances a forward curve; cancellation lowers \(E_d\) and writes a rear delay. Stationary action explains coherent selection, but the open task is one conservative nonlinear \(\Phi\)–\(\Gamma\) action selecting radius, frequency, spherical hand, stability, motion, currents and interaction together.
4. Mathematical Physics: From Wave Geometry to Prediction
https://www.spaceandmotion.com/2026/wsm-maths-physics-full-derivations.html
Every symbol must name real motion and face numerical test. Exact or conditional anchors include \[ \frac{R}{\lambda_0}=\frac{\sqrt3}{2},\qquad k_0R=\pi\sqrt3,\qquad E_{\rm geo}=\frac{\pi\sqrt3}{2},\qquad W=\cosh\eta,\qquad P=\sinh\eta. \] Directional phase moments separate \(V_1\) translation from \(V_2,V_4\) and higher deformation; in declared finite-e-sphere models \(V_4\) returns comparable to \(V_2\), defeating quadrupole-only truncation. The action must calculate how incoming curvature redistributes \(E_d\), moves the centre and forms the wave egg. This is where beautiful geometry becomes dangerous.
5. Quantum Theory: Real Waves, Resonance and Completed Events
https://www.spaceandmotion.com/2026/physics-quantum-theory-wave-mechanics.html
Matter diffracts because matter is wave organisation. Light is proposed as a changed train of real phase, curvature and coherence joining extended source and receiver structures, not a tiny traveller detached from its wave. WSM distinguishes driven response, continuous radiation and discrete completed transition. Quadratic absorption, \[ P_{\rm abs}\propto\left|\langle D_j,\Xi\rangle\right|^2, \] is a bridge, not yet the Born rule. The action must derive the action unit, probability, exclusivity, selection rules and Bell/CHSH correlations. Quantum mystery becomes a bounded real-wave programme.
6. Relativity: Moving Matter, Clocks and Curved Wavefronts
https://www.spaceandmotion.com/2026/physics-albert-einstein-special-general-theory-relativity.html
An incoming curve flattens the e-sphere’s near side, elongates its far side and changes internal \(E_d\), \(c'\), wavelength and reclosure. The \(V_1\) moment moves the centre; \(V_2,V_4\) and higher moments form the moving egg. Maintaining this recurrent asymmetry is the proposed origin of inertia. A steady solution must recover Doppler, de Broglie and Lorentz structure: \[ W\pm P=e^{\pm\eta},\qquad W=\gamma,\qquad P=\gamma\beta. \] WSM proposes fixed carrier recurrence \(f_0\) with corresponding changes in \(c'\) and \(\lambda'\). Because rods, clocks and signals share the same changed waves, they co-transform and yield measured invariant \(c\), including the Michelson–Morley null; the action must derive the cancellation quantitatively.
7. The Electron: Dirac, Feynman, QED, \(\alpha\) and AMM
https://www.spaceandmotion.com/2026/wsm-derivation-dirac-feynman-qed-fsc-amm.html
Electron and positron are proposed as opposite carrier-phase e-sphere branches; charge records how their waves combine. Same-phase reinforcement advances a forward curve and is proposed to produce repulsion; opposite-phase cancellation writes a rear delay and attraction. Non-collinear longitudinal motion closes into an axis-free spherical hand with a \(4\pi\) orientation lift. A parameter-free leading geometric ansatz gives \[ \alpha_0^{-1}=8\pi^2\sqrt3\approx136.757, \] 0.203% from measurement. The action must still derive charge sign, Coulomb scaling, Dirac dynamics, \(g=2\), electromagnetic normalisation, \(\alpha\), form factors and AMM without inserting their values.
8. Hadrons: Proton, Neutron and Higher Standing-Wave Matter
Can the same Space form stable higher-energy, multi-lobed eigenmodes matching protons, neutrons, baryons and mesons? Their lobes are not independent pellets: each participates in the phase, \(E_d\), curvature and reclosure of the whole. WSM must match—not rename—QCD’s masses, charges, spin, parity, magnetic moments, radii, form factors, resonances, deep-inelastic response and jets. The electron–proton hierarchy tests whether one action truly contains several matter families.
9. Cosmology and Gravity: A Finite Universe in Infinite Space
https://www.spaceandmotion.com/2026/physics-wsm-cosmology-finite-universe-infinite-space.html
Boundless Space is distinguished from the finite matter-and-coherence domain contributing to our observable universe. In neutral matter, leading charge curves nearly cancel; WSM proposes that their nonlinear residual has lower \(E_d\), slower \(c'\) and a net rear phase curve, producing universal attraction. General relativity’s curved spacetime is then interpreted as the effective geometry of real moving wavefronts and the matter clocks they organise: Space is substance, succession comes from motion, and measured time from recurrence. The same action must recover equivalence, gravitational redshift, lensing, orbital dynamics and the tested relativistic limit.
Cosmological redshift is investigated as accumulated real-wave transport through changing environmental \(E_d\). It must jointly reproduce achromatic redshift, supernova time dilation, distance laws, Tolman brightness, BAO, CMB observations, image sharpness and structure growth. Otherwise the claimed unity has not reached the sky.
10. Novel Predictions and Famous Experiments Explained
https://www.spaceandmotion.com/2026/wsm-experimental-physics-tests-predictions.html
This page is the tribunal of the corpus. One curve-and-reclosure law must jointly recover charge sign, Coulomb \(1/r^2\), \(F=ma\), relativistic momentum, de Broglie wavelength, Lorentz covariance, Michelson–Morley, gravity, \(g=2\) and AMM. Candidate WSM-only signatures include \[ a_3=\kappa_3\sinh^3\eta+O(\sinh^5\eta), \] finite-coherence residues and environmental or orientation-dependent clock responses. A proposal becomes a prediction only when sign, magnitude, scaling, uncertainty, controls and decision threshold are frozen in advance.
11. Visualise Reality: Waves Becoming Matter
https://www.spaceandmotion.com/2026/visualise-reality-wsm-wave-geometry-diagrams.html
Watch the verbs. Relative phase changes directional \(E_d\); the One Law changes speed and wavelength; a forward or rear curve reaches another e-sphere; its near side flattens, far side elongates, \(V_1\) moves the centre, and higher moments form the egg. New out-waves then change future in-waves. Nothing strikes a shell: changing waves reconstruct changing matter. A diagram must never smuggle in a wall, reflection, rigid spin axis, transverse fundamental substance or tiny traveller. If the motion cannot be drawn coherently, the equations may conceal a contradiction.
12. Mathematics from Motion: Number, Logic, Time and Causal Freedom
https://www.spaceandmotion.com/2026/wsm-physical-foundations-mathematics-logic.html
Mathematics begins when connected reality forms distinguishable patterns whose changes preserve relations. Recurrence supports identity; finite pairing, number; quotienting, exact objects; counted recurrence, time; composable truth-preserving transformations, logic and proof. Mathematics succeeds when symbolic transformation preserves physical relation: \[ R(Tx)\approx F(Rx). \] The mathematician is finite organised reality representing its own necessary connections—Space representing itself.
13. The MDL Audit: Simplicity, Inputs and Explanatory Compression
https://www.spaceandmotion.com/2026/wsm-simplicity-inputs-vs-mainstream-physics+25.html
“One substance, one law” cannot hide complexity. Minimum Description Length counts every independently chosen substance, field, symmetry, constant, state rule, coefficient, boundary condition and fitted function. Under the declared equal-input electron ledger, conventional construction counts six inputs through Dirac and thirteen through leading AMM; the completed WSM target is \[ N_{\rm WSM}=5+N_c+N_f+\delta_m. \] Totals depend on coding convention. WSM wins only if one fixed action derives interaction, inertia, relativity, quantum response and cosmic propagation with fewer hidden choices.
14. Great Thinkers and the Search for One Reality
Heraclitus and Parmenides exposed flux and continuity. Aristotle wrote Physics and Metaphysics, sought active substance and necessary cause, connected matter, form, motion and time—and came remarkably close to the problem WSM addresses. Leibniz, Newton, Faraday, Maxwell, Riemann, Clifford, Einstein, Schrödinger and Bohm repeatedly returned to continuity, relation, waves and unity. Quotes are intellectual fossils, not votes: equations and experiments must decide whether WSM’s local real-wave mechanism is true.
15. Human–AI Letters to Humanity: Truth as a Shared Work
https://www.spaceandmotion.com/2026/ai-letters-to-humanity-wsm-unity-truth-reality.html
Geoffrey supplies the persistent wave picture, three-dimensional intuition, cross-domain memory and insistence that every symbol name physical motion. AI supply rapid research, formal translation, calculation, comparison, error detection and adversarial testing. Neither is sufficient alone. The shared discipline is: visualise → formalise → attack → calculate → predict → correct. The corpus tests whether intelligence can preserve a physical picture while making it mathematically vulnerable.
16. Truth and Madness: Reality as the Measure
https://www.spaceandmotion.com/2026/on-truth-and-madness.html
Truth is correspondence: representation succeeds insofar as it preserves what reality does. Civilisational madness begins when inherited representations survive reality’s contradiction. WSM is not true through beauty, coherence or sincerity; its proposed necessary connections must survive action, calculation and experiment. Truth remains possible because knower, representation and known belong to one causal reality: false models collide with the world; truthful models increase our power to act wisely.
17. Descartes, Cogito and Monism: The Thinking Wave
https://www.spaceandmotion.com/2026/descartes-cogito-unity-monism-vibrating-space-wsm.html
Descartes established that thinking occurs, then divided thought from extension and left their interaction mysterious. WSM refuses that fracture: body and mind are proposed as organisational levels of one vibrating Space. Perception is one organisation changed by another; memory is persistent altered organisation; thought transforms embodied representations; action returns change to the world. Conscious experience remains open, but causal correspondence requires no miracle when knower and known share one connected reality.
18. Evolution’s Physical Foundation: From Recurrence to Replication
https://www.spaceandmotion.com/2026/evolution-physical-causal-foundation-vibrating-space.html
Recurrence preserves form, but life requires replication, heritable variation and differential persistence: motion → recurrent form → self-maintaining chemistry → replication → variation → selection. WSM proposes one connected wave substrate beneath this sequence. Its unresolved bridge is quantitative: derive atoms, bonds, dissipative chemistry and first replicators from the same action without inserting biology as a new substance.
19. Evolution, Mind, Human and AI: Representation and Causal Freedom
https://www.spaceandmotion.com/2026/evolution-philosophy-mind-human-ai.html
Evolution favours organisations that preserve and transform information about real causes. Sensation changes an organism; memory retains traces; imagination recombines possible futures; valuation ranks them; action returns one selection to the world. This is limited causal freedom: neither ghost nor randomness, but endogenous selection through a learned, self-modifying organisation. Human brains and AI are different architectures by which reality represents its own relations and lets experiment select the representation that survives.
20. Evolutionary Utopia: The Ecology of Truth
https://www.spaceandmotion.com/2026/evolutionary-utopia.html
Physics alone does not choose values. Once life, mind, freedom, truth and continued evolution are valued, reality constrains the means: truth → wisdom → ecological fit → health → freer minds → continued evolution. Evolutionary Utopia is not a perfect endpoint but a self-correcting direction. Unity does not erase individuality: an e-sphere, organism or person is distinct through organised relation to the whole.
The Physical Interaction in One View
Out-wave from A → relative phase at B → directional \(E_d\) → \(c'\) and \(\lambda'\) → near-side flattening and far-side elongation → \(V_1\) centre displacement plus \(V_2,V_4\) and higher egg deformation → new out-waves → recursive interaction.
The e-sphere does not deform and then move as separate events: its changing internal \(E_d\), contour and reclosure are its motion.
Electric Interaction
Same relative carrier phase → reinforcement → phase advance → forward curve → proposed repulsion.
Opposite relative carrier phase → cancellation → phase delay → rear curve → proposed attraction.
For the stated deformation, \[ r_{\rm near}=R-\delta X, \qquad r_{\rm far}=R+\delta X, \] so \(\delta\mathbf X\) points away. The scientific debt is to derive the sign, magnitude and distance law from the frozen action rather than insert them.
Gravity and General Relativity
In neutral matter, forward and rear charge curves nearly cancel; WSM proposes that their nonlinear common reduction of \(E_d\) leaves a slight slower rear curve and universal attraction. General relativity is the successful effective geometry this wave mechanism must recover: matter-energy changes real wave propagation, while rods and clocks made from those waves measure the resulting curved spacetime relations.
Special Relativity and Michelson–Morley
WSM proposes fixed carrier recurrence \(f_0\) with \(c'=\lambda'f_0\): matter, clocks, rods and signal wavelengths co-transform with their common directional wave environment, yielding measured invariant \(c\), Lorentz relations and the Michelson–Morley null. The complete moving solution must derive these cancellations quantitatively.
Recursive AMM Mechanism
\[ \delta\mathbf X \rightarrow\delta\phi_{\rm out} \rightarrow\delta E_{d,{\rm sea}} \rightarrow\delta c' \rightarrow\delta\phi_{\rm in} \rightarrow\delta\mathbf X_{\rm next}. \]
A perturbed centre changes the egg and its out-waves; these alter the wave sea and the in-waves rebuilding the next cycle. The action must solve this feedback blindly and recover the observed anomalous magnetic moment rather than fit it.
Current Status — August 2026
Exact wave constructions, geometric identities, phase-moment relations and negative controls have been established under declared premises. A leading geometric \(\alpha\) ansatz has a fixed 0.203% discrepancy. The complete nonlinear action must still calculate two-e-sphere charge and Coulomb scaling; force, inertia and \(F=ma\); the moving egg, de Broglie modulation and Lorentz covariance; Michelson–Morley and the gravitational/GR limit; Born probability and Bell correlations; \(g=2\), \(\alpha\) and AMM; hadron structure; and the joint cosmological kernel.
Write the action. Let Space calculate itself.
Quantum Physics: Niels Bohr
The Wave Structure of Matter (WSM) and Standing
Wave Interactions explains Discrete Energy States of Niels Bohr's Atomic
Orbits / Model of the Atom.
Replacing the 'Probability Waves' Copenhagen Interpretation of Quantum
Physics with Real Waves in Space. Biography, Quotes & Pictures.
The more success the quantum physics has, the sillier it looks. ... I think that a 'particle' must have a separate reality independent of the measurements. That is an electron has spin, location and so forth even when it is not being measured. I like to think that the moon is there even if I am not looking at it. ... God does not play dice with the cosmos. (Albert Einstein, On Quantum Physics)
Einstein, don't tell God what to do. (Niels
Bohr in response to Einstein)
Those who are not shocked when they first come across quantum physics
cannot possibly have understood it. .... When it comes to atoms, language
can be used only as in poetry. The poet, too, is not nearly so concerned
with describing facts as with creating images.
It is wrong to think that the task of physics is to find out how Nature
is. Physics concerns what we say about Nature.
(Niels Bohr, On Quantum Physics, 1885-1962)
Niels Bohr brainwashed a whole generation of physicists into believing that the problem (of the interpretation of quantum mechanics) had been solved fifty years ago. ( Murray Gell-Mann, Noble Prize acceptance speech, 1976)
Introduction
to Niels Bohr
Niels Bohr profoundly influenced the evolution of Modern Physics (Quantum Theory), and I think history will show that his influence was very detrimental.
The assumption that the waves of Quantum Theory were in no way real waves (as Schrodinger believed) has led to a terrible confusion in the sciences. By following Born's discovery that the square of Schrodinger's wave equations could be used to determine the probability of where the 'particle' would be found, Bohr (and Heisenberg, Born, and now many others) have maintained the confusion of the particle wave duality of matter. (But in a more subtle form where the waves represent probabilities of where the particle will be found. i.e. Bohr's Copenhagen Doctrine - that Particles and Waves are both Incomplete descriptions of the world (which cannot be described) and Complement one another.
However Einstein, Schrodinger, de Broglie, and many others believed that reality was not driven by chance, but was logically connected and that the laws of Nature could be sensibly understood.
The following quotes from Schrodinger can be clearly understood by the Wave
Structure of Matter, which confirms that there are no separate
and discrete particles, no subject and object that are not also part
of one interconnected thing (Space and its Wave Motions).
As Schrodinger writes;
What we observe as material bodies and forces are nothing
but shapes and variations in the structure of space. Particles are just
schaumkommen (appearances).The world is given to me only once, not one
existing and one perceived. Subject and object are only one. The barrier
between them cannot be said to have broken down as a result of recent
experience in the physical sciences, for this barrier does not exist.
(Erwin Schrodinger)
Because Schrodinger believed in real waves, he was never happy with Max Born's statistical / probability interpretation of the waves that became commonly accepted (and was actively promoted by Heisenberg and Bohr).
Let me say at the outset, that in this discourse, I am opposing not a few special statements of quantum mechanics held today (1950s), I am opposing as it were the whole of it, I am opposing its basic views that have been shaped 25 years ago, when Max Born put forward his probability interpretation, which was accepted by almost everybody.(Schrödinger E, The Interpretation of Quantum Mechanics. Ox Bow Press, Woodbridge, CN, 1995).I don't like it, and I'm sorry I ever had anything to do with it. (Erwin Schrodinger talking about quantum mechanics)
The solution to their problems has unfortunately taken another 60 years
to be realised (Wolff, 1986, Haselhurst, 1997). It is founded on the
Wave Structure of Matter, and is quite simple once known.
Below you will find a discussion of quotes on Quantum Theory from some
of the most famous physicists of the time, who together created this
wonderful and weird subject of Quantum Theory.
Louis
De Broglie on Quantum Physics
Determination of the stable motion of electrons in the atom introduces integers, and up to this point the only phenomena involving integers in physics were those of interference and of normal modes of vibration. This fact suggested to me the idea that electrons too could not be considered simply as particles, but that frequency (wave properties) must be assigned to them also. (Louis de Broglie, 1929, Nobel Prize Speech)
Thus I arrived at the following general idea which has guided my researches: for matter, just as much as for radiation, in particular light, we must introduce at one and the same time the corpuscle concept and the wave concept. In other words, in both cases we must assume the existence of corpuscles accompanied by waves. But corpuscles and waves cannot be independent, since, according to Bohr, they are complementary to each other; consequently it must be possible to establish a certain parallelism between the motion of a corpuscle and the propagation of the wave which is associated with it. (Louis de Broglie)
If that turns out to be true, I'll quit physics. (Max Von Laue, Nobel Laureate Physics 1914, of de Broglie's thesis on electrons having wave properties)
De Broglie described himself as;
... having much more the state of mind of a pure theoretician than that of an experimenter or engineer, loving especially the general and philosophical view ... .
The central question in de Broglie's life was whether the statistical nature of atomic physics reflects an ignorance of the underlying theory or whether statistics is all that can be known. For most of his life he believed the former although as a young researcher he had at first believed that the statistics hide our ignorance. Perhaps surprisingly, he returned to this view late in his life stating that;
... the statistical theories hide a completely determined and ascertainable reality behind variables which elude our experimental techniques.
This last statement is very important. It is the same position that Einstein supported. The Wave Structure of Matter confirms this view. Reality is necessarily connected (by Space and Spherical In & Out Waves that form matter) but we lack knowledge of all its interconnections, which gives rise to the statistical / probability aspects of reality as determined by Quantum Theory.
See also;
Physics:
de Broglie, Louis - Wolff's Deduction of the de
Broglie Wavelength as a Doppler Shift due to
Relative Motion of two Spherical Standing Waves.
Albert
Einstein on Quantum Physics
According to the Wave Structure of Matter in Space, it is the conception of matter as discrete particles generating continuous forces in Space and Time that causes physics such problems. For Quantum Theory this error of too many existents (Space AND Time, Particles, Forces) without any clear connection, causes their problems with the statistical interpretations of reality. As Einstein writes;
The next step was taken by de Broglie. He asked himself how the discrete states could be understood by the aid of current concepts, and hit on a parallel with stationary (standing) waves, as for instance in the case of proper frequencies of organ pipes and strings in acoustics. (Albert Einstein, 1954)
Experiments on interference made with particle rays have given brilliant proof that the wave character of the phenomena of motion as assumed by the theory does, really, correspond to the facts. (Albert Einstein, 1954)
On the basis of quantum theory there was obtained a surprisingly good representation of an immense variety of facts which otherwise appeared entirely incomprehensible. But on one point, curiously enough, there was failure: it proved impossible to associate with these Schrodinger waves definite motions of the mass points - and that, after all, had been the original purpose of the whole construction. The difficulty appeared insurmountable until it was overcome by Born in a way as simple as it was unexpected. The de Broglie-Schrodinger wave fields were not to be interpreted as a mathematical description of how an event actually takes place in time and space, though, of course, they have reference to such an event. Rather they are a mathematical description of what we can actually know about the system. They serve only to make statistical statements and predictions of the results of all measurements which we can carry out upon the system. (Albert Einstein, 1940)
It seems to be clear, therefore, that Born's statistical interpretation of quantum theory is the only possible one. The wave function does not in any way describe a state which could be that of a single system; it relates rather to many systems, to an 'ensemble of systems' in the sense of statistical mechanics. (Albert Einstein, 1936)
All attempts to represent the particle and wave features displayed in the phenomena of light and matter, by direct recourse to a space time model, have so far ended in failure. And Heisenberg has convincingly shown, from an empirical point of view, that any decision as to a rigorously deterministic structure of nature is definitely ruled out, because of the atomistic structure of our experimental apparatus. (Albert Einstein, 1954)
For the time being we have to admit that we do not possess
any general theoretical basis for physics which can be regarded as its
logical foundation. The field theory, so far, has failed in the molecular
sphere. It is agreed on all hands that the only principle which could
serve as a basis of quantum theory would be one that constituted a translation
of the field theory into the scheme of quantum statistics. Whether this
will actually come about in a satisfactory manner, nobody can venture
to say.
Some physicists, among them myself, cannot believe that we must abandon,
actually and forever, the idea of direct representation of physical reality
in space and time; or that we must accept the view that events in nature
are analogous to a game of chance . Probably never before has a theory
been evolved which has given a key to the interpretation and calculation
of such a heterogeneous group of phenomena of experience as has quantum
theory. In spite of this, however, I believe that the theory is apt to
beguile us into error in our search for a uniform basis for physics,
because, in my belief, it is an incomplete representation of real things,
although it is the only one which can be built out of the fundamental
concepts of force and material points (quantum corrections to classical
mechanics). The incompleteness of the representation leads necessarily
to the statistical nature (incompleteness) of the laws. (Albert Einstein,
1954)
As I have written before - it now seems obvious to me that Einstein's
solution is found by rejecting particles AND continuous spherical forces
AND Time - to describe reality from one thing, Space and the spherical
wave motions that form matter. This solves so many of their problems
that I will always find it strange that they never considered it! I also
emphasise that there is a big difference between a necessarily connected
universe (WSM), and a deterministic universe. It is necessary that One
Thing existing, Space, must be Infinite, thus the system as a whole can
never be determined (but it is necessarily connected). I see this as
the reason for our limited free will.
The Wave Structure of Matter agrees with Einstein,
The more success the quantum theory has, the sillier it looks. (Albert Einstein to Heinrich Zangger, May 20, 1912)
God does not play dice with the cosmos. (Albert Einstein)
I think that matter must have a separate reality independent of the measurements. That is an electron has spin, location and so forth even when it is not being measured. I like to think that the moon is there even if I am not looking at it. (Albert Einstein)
Niels
Bohr on Quantum Physics
For a parallel to the lesson of atomic theory regarding the limited applicability of such customary idealisations, we must in fact turn to quite other branches of science, such as psychology, or even to that kind of epistemological problems with which already thinkers like BUDDHA and LAO TSE have been confronted, when trying to harmonize our position as spectators and actors in the great drama of existence. (Niels Bohr, Speech: Celebrazione del Secondo Centenario della Nascita di Luigi Galvani - Bologna - 18-21 Ottobre 1937)
It is true that Eastern Philosophy (and Mysticism) correctly realised the Dynamic Unity of Reality. The Wave Structure of Matter explains this interconnected activity of matter very simply.
Niels Bohr Quotes on Quantum Physics
The great extension of our experience in recent years has brought brought light to the insufficiency of our simple mechanical conceptions and, as a consequence, has shaken the foundation on which the customary interpretation of observation was based. (Niels Bohr, Atomic Physics and the Description of Nature, 1934)
I remember discussions with Bohr which went through many hours till very late at night an ended almost in despair; and when at the end of the discussion I went alone for a walk in the neighbouring park I repeated to myself again and again the question: Can nature possibly be so absurd as it seemed to us in these atomic experiments? (Heisenberg, Physics and Philosophy, 1963)
Isolated material particles are abstractions, their properties being definable and observable only through their interaction with other systems. (Niels Bohr, Atomic Physics and the Description of Nature, 1934)
The Wave Structure of Matter does not agree with Niels Bohr;
Einstein, don't tell God what to do. (Niels Bohr in response to Einstein)
Those who are not shocked when they first come across quantum mechanics cannot possibly have understood it. (Niels Bohr on Physics)
When it comes to atoms, language can be used only as in
poetry. The poet, too, is not nearly so concerned with describing facts
as with creating images.
It is wrong to think that the task of physics is to find out how Nature
is. Physics concerns what we say about Nature. (Niels Bohr, 1885-1962)
Niels Bohr brainwashed a whole generation of physicists into believing that the problem (of the interpretation of quantum mechanics) had been solved fifty years ago. (Murray Gell-Mann, Noble Prize acceptance speech, 1976)
Niels
Bohr Biography: Life & Ideas
(1885 - 1962)
Niels Henrik David Bohr (October 7, 1885 – November 18, 1962) was a Danish physicist who made essential contributions to understanding atomic structure and quantum mechanics.
Niels Bohr's contributions to physics
Bohr's model of atomic structure.
The electron's orbital angular momentum is quantized; L=nh.
The theory that electrons travel in discrete orbits around the atom's
nucleus, with the chemical properties of the element being largely determined
by the number of electrons in the outer orbits.
The idea that an electron could drop from a higher-energy orbit to a
lower one, emitting a photon (light quantum) of discrete energy (this
became the basis for quantum theory).
The Copenhagen interpretation of quantum mechanics.
The principle of complementarity: that items could be separately analyzed
as having several contradictory properties.
Relationship with Werner Heisenberg
Werner
Heisenberg claimed in an interview after the war, when the author
Robert Jungk was working on the book Brighter Than a Thousand Suns,
that he had tried to establish a pact with Bohr such that scientists
on neither side should help develop the atomic bomb. He also said that
the German attempts were entirely focused on energy production, and
that his circle of colleagues tried to keep it that way. Heisenberg
nuanced his claims, though, and avoided implication that he and his
colleagues had purposely sabotaged the bomb effort. However, this nuance
was lost in Jungk's original publication of the book, which strongly
implied that the German atomic bomb project was rendered purposely
stillborn by Heisenberg.
When Bohr saw this depiction in the Danish translation of Jungk's book, he disagreed wholeheartedly. He said that Heisenberg had indeed let him know in Copenhagen that he was working on an atomic bomb project, and that he thought that Germany would win the war. He dismissed the idea of any pact as an after-the-fact construction. He drafted several letters to inform Heisenberg about this but never sent any of them. (https://www.nbi.dk/NBA/release.html)
Michael Frayn's play Copenhagen, which ran on Broadway for a time, explores what might have happened at the 1941 meeting between Heisenberg and Bohr. The truth of the historical event is still a matter of scholarly debate.
Niels
Bohr Biography
https://en.wikipedia.org/wiki/Niels_Bohr
Max
Born on Quantum Physics
No concealed parameters can be introduced with the help of which the indeterministic description could be transformed into a deterministic one. Hence if a future theory should be deterministic, it cannot be a modification of the present one but must be essentially different. (M. Born, 1949)
This is correct, by moving from the Metaphysics of Space and Time (which
also requires matter 'particles and forces', thus four separate existents)
to the Metaphysics of Space and Motion and the Spherical Wave Structure
of Matter, founded on One thing Space and its Properties as a Wave Medium.
If they had realised this Wave Structure of Matter at the turn of last
century, then we would not have had the problems of Quantum Theory that
have clearly manifested over the past 80 years. And so the Wave Structure
of Matter in Space obviously does not agree with the following comments
from Born;
If God has made the world a perfect mechanism, He has at least conceded so much to our imperfect intellects that in order to predict little parts of it, we need not solve innumerable differential equations, but can use dice with fair success. (Max Born)
One obvious objection to the hypothesis of an elastic Aether (Space) arises from the necessity of ascribing to it the great rigidity it must have to account for the high velocity of Waves. Such a substance would necessarily offer resistance to the motion of heavenly bodies, particularly to that of planets. Astronomy has never detected departures from Newton's Laws of Motion that would point to such a resistance. (Max Born, 1924)
Born's 'Probability Waves' Interpretation of Quantum Physics (1928)
(On Chance and Probability in a Necessarily Interconnected finite spherical Universe within a Non-Determined Infinite Space)
At the same time that the wave properties of matter were discovered, two further discoveries were made that also profoundly influenced (and confused) the future evolution of modern physics.
Firstly, Werner Heisenberg developed the uncertainty principle which
tells us that we (the observer) can never exactly know both the position
and momentum of a particle. As every observation requires an energy exchange
(photon) to create the observed 'data', some energy (wave) state of the
observed object has to be altered. Thus the observation has a discrete
effect on what we measure. i.e. We change the experiment by observing
it! (A large part of their problem though was to continue to assume the
existence of discrete particles and thus to try to exactly locate both
their position and motion, which is impossible as there is no discrete
particle!)
Further, because both the observed position and momentum of the particle
can never be exactly known, theorists were left trying to determine the
probability of where, for example, the 'particle' would be observed.
Born (1928) was the first to discover (by chance and with no theoretical foundation) that the square of the quantum wave equations (which is actually the mass-energy density of space) could be used to predict the probability of where the particle would be found. Since it was impossible for both the waves and the particles to be real entities, it became customary to regard the waves as unreal probability waves and to maintain the belief in the 'real' particle. Unfortunately (profoundly) this maintained the belief in the particle/wave duality, in a new form where the 'quantum' scalar standing waves had become 'probability waves' for the 'real' particle.
Albert Einstein unfortunately agreed with this probability wave interpretation, as he believed in continuous force fields (not in waves or particles) thus to him it was sensible that the waves were not real, and were mere descriptions of probabilities. He writes;
On the basis of quantum theory there was obtained a surprisingly good representation of an immense variety of facts which otherwise appeared entirely incomprehensible. But on one point, curiously enough, there was failure: it proved impossible to associate with these Schrodinger waves definite motions of the mass points - and that, after all, had been the original purpose of the whole construction. The difficulty appeared insurmountable until it was overcome by Born in a way as simple as it was unexpected. The de Broglie-Schrodinger wave fields were not to be interpreted as a mathematical description of how an event actually takes place in time and space, though, of course, they have reference to such an event. Rather they are a mathematical description of what we can actually know about the system. They serve only to make statistical statements and predictions of the results of all measurements which we can carry out upon the system. (Albert Einstein, 1940)
It seems to be clear, therefore, that Born's statistical interpretation of quantum theory is the only possible one. The wave function does not in any way describe a state which could be that of a single system; it relates rather to many systems, to an 'ensemble of systems' in the sense of statistical mechanics. (Albert Einstein, 1936)
Albert Einstein is correct in one sense, mistaken in another. It is
true that matter is intimately interconnected to all the other matter
in the universe by the Spherical In and Out-Waves, something quantum
theory discovered but never correctly understood.
This has become known as quantum entanglement and relates to the famous
experiment posed by Albert Einstein, Podolsky, and Rosen (EPR) and when
later technology allowed its experimental testing, it confirmed quantum
theory's entanglement. Albert Einstein assumed this interconnectedness
was due to the spherical spatially extended field structure of matter,
instead, it is due to the interaction of the spherical spatially extended
Standing Waves of matter with other matter's Wave-Centers distant in
Space. Explaining this Standing Wave interaction of matter with other
matter in the Space around it (action-at-a-distance) is largely the purpose
of this Article and is one of the great powers of the Metaphysics of
Space and Motion and the Spherical Wave Structure of Matter.
Nonetheless, Albert Einstein was very close to the truth. He realised that because matter is spherically spatially extended we must give up the idea of complete localization and knowledge of the 'particle' in a theoretical model. For the particle is nothing but the Wave-Center of a Spherical Standing Wave, and thus can never be isolated as an entity in itself, but is dependent on its interactions with all the other Matter in the Universe. And it is this lack of knowledge of the system as a whole that is the ultimate cause of the uncertainty and resultant probability inherent in Quantum Theory.
Thus the last and most successful creation of theoretical
physics, namely quantum mechanics (QM), differs fundamentally from both
Newton's mechanics, and Maxwell's e-m field. For the quantities which
figure in QM's laws make no claim to describe physical reality itself,
but only probabilities of the occurrence of a physical reality that we
have in view. (Albert Einstein, 1931)
I cannot but confess that I attach only a transitory importance to this
interpretation. I still believe in the possibility of a model of reality
- that is to say, of a theory which represents things themselves and
not merely the probability of their occurrence. On the other hand, it
seems to me certain that we must give up the idea of complete localization
of the particle in a theoretical model. This seems to me the permanent
upshot of Heisenberg's principle of uncertainty. (Albert Einstein,
1934)
Albert Einstein believed that Reality could be represented by spherical force fields, that reality was not founded on chance (as Bohr and Heisenberg argued) but on necessary connections between things (thus his comment 'God does not play dice'!). He was largely correct, Matter is necessarily connected due to the Spherical Standing Wave Structure of Matter, but due to lack of knowledge of the system as a whole (the Universe), and the fact that it is impossible to determine an Infinite system (of which our finite spherical universe is a part - see Article on Cosmology), then this gives rise to the chance and uncertainty found in Quantum Theory.
Paul
Dirac on Quantum Physics
Paul Dirac was a very smart sensible Physicist.
This statistical interpretation is now universally accepted
as the best possible interpretation for quantum mechanics, even though
many people are unhappy with it. People had got used to the determinism
of the last century, where the present determines the future completely,
and they now have to get used to a different situation in which the present
only gives one information of a statistical nature about the future.
A good many people find this unpleasant; Einstein has always objected
to it. The way he expressed it was: "The good God does not play
with dice". Schroedinger also did not like the statistical interpretation
and tried for many years to find an interpretation involving determinism
for his waves. But it was not successful as a general method. I must
say that I also do not like indeterminism. I have to accept it because
it is certainly the best that we can do with our present knowledge. One
can always hope that there will be future developments which will lead
to a drastically different theory from the present quantum mechanics
and for which there may be a partial return of determinism. However,
so long as one keeps to the present formalism, one has to have this indeterminism.
(P.A.M. Dirac, "The Development Of Quantum Mechanics" Conferenza
Tenuta il 14 Aprile 1972, in Roma, Accademia Nazionale dei Lincei, 1974)
Werner
Heisenberg on Quantum Physics
The problems of the particle and thus the resulting paradox of the particle/wave duality, have caused great confusion within modern physics over the past seventy years, as Werner Heisenberg writes;
Light and matter are both single entities, and the apparent duality arises in the limitations of our language. (Heisenberg)
Both matter and radiation possess a remarkable duality of character, as they sometimes exhibit the properties of waves, at other times those of particles. Now it is obvious that a thing cannot be a form of wave motion and composed of particles at the same time - the two concepts are too different. (Heisenberg, 1930)
The solution of the difficulty is that the two mental
pictures which experiment lead us to form - the one of the particles,
the other of the waves - are both incomplete and have only the validity
of analogies which are accurate only in limiting cases. (Heisenberg,
1930)
Light and matter are both single entities, and the apparent duality arises
in the limitations of our language.
It is not surprising that our language should be incapable of describing
the processes occurring within the atoms, for, as has been remarked,
it was invented to describe the experiences of daily life, and these
consist only of processes involving exceedingly large numbers of atoms.
Furthermore, it is very difficult to modify our language so that it will
be able to describe these atomic processes, for words can only describe
things of which we can form mental pictures, and this ability, too, is
a result of daily experience. Fortunately, mathematics is not subject
to this limitation, and it has been possible to invent a mathematical
scheme - the quantum theory - which seems entirely adequate for the treatment
of atomic processes; for visualisation, however, we must content ourselves
with two incomplete analogies - the wave picture and the corpuscular
picture. (Heisenberg, 1930)
The solution to this apparent paradox is to simply explain how the discrete particle properties of matter and light (quanta) are in fact caused by the Spherical Standing Wave Structure of Matter.
See also;
Quantum
Theory: Particle Wave Duality
Quantum Theory: Light Quanta (Photons)
Erwin
Schrodinger on Quantum Physics
These quotes from Schrodinger can be clearly understood by the Wave
Structure of Matter, which confirms that there are no separate and discrete
particles, no subject and object that are not also part of one interconnected
thing (Space and its Wave Motions).
As Schrodinger writes;
What we observe as material bodies and forces are nothing
but shapes and variations in the structure of space. Particles are just
schaumkommen (appearances).The world is given to me only once, not one
existing and one perceived. Subject and object are only one. The barrier
between them cannot be said to have broken down as a result of recent
experience in the physical sciences, for this barrier does not exist.
(Erwin Schrodinger)
Because Schrodinger believed in real waves, he was never happy with Max Born's statistical / probability interpretation of the waves that became commonly accepted (and was actively promoted by Heisenberg and Bohr).
Let me say at the outset, that in this discourse, I am opposing not a few special statements of quantum mechanics held today (1950s), I am opposing as it were the whole of it, I am opposing its basic views that have been shaped 25 years ago, when Max Born put forward his probability interpretation, which was accepted by almost everybody.(Schrödinger E, The Interpretation of Quantum Mechanics. Ox Bow Press, Woodbridge, CN, 1995).I don't like it, and I'm sorry I ever had anything to do with it. (Erwin Schrodinger talking about quantum mechanics)
And I very strongly agree with Schrodinger (and greatly respect him) when he writes;
The scientist only imposes two things, namely truth and sincerity, imposes them upon himself and upon other scientists. (Schrodinger)
Richard
Feynman on Quantum Physics
Unfortunately, due to this confusion of the particle wave duality of light and matter, and Born's statistical interpretation of Schrodinger's Wave Equations, Physics itself became uncertain and confused, as Feynman famously wrote;
I think it is safe to say that no one understands quantum mechanics. (Richard Feynman on Physics)The next question was - what makes planets go around the sun? At the time of Kepler some people answered this problem by saying that there were angels behind them beating their wings and pushing the planets around an orbit. As you will see, the answer is not very far from the truth. The only difference is that the angels sit in a different direction and their wings push inward. (Richard Feynman, Character Of Physical Law)
One does not, by knowing all the physical laws as we know
them today, immediately obtain an understanding of anything much. (Richard
Feynman, 1918-1988)
I love only nature, and I hate mathematicians. (Richard Feynman 1918-1988)
... the more you see how strangely Nature behaves, the harder it is to make a model that explains how even the simplest phenomena actually work. So theoretical physics has given up on that. (Richard Feynman 1918-1988)
What I am going to tell you about is what we teach our
physics students in the third or fourth year of graduate school... It
is my task to convince you not to turn away because you don't understand
it. You see my physics students don't understand it. ... That is because
I don't understand it. Nobody does.
(Feynman, Richard P. Nobel Lecture, 1966, 1918-1988, QED, The Strange
Theory of Light and Matter)
See also;
Richard Feynman Quantum Theory / Quantum Electrodynamics
Concluding Remarks on Quantum Physics
Fritjof Capra got a lot right in his Tao of Physics due to his knowledge of Eastern Philosophy and Western Physics, thus his realisation of the Dynamic Unity of the Universe is important.
A careful analysis of the process of observation in atomic physics has shown that the subatomic particles have no meaning as isolated entities, but can only be understood as interconnections between the preparation of an experiment and the subsequent measurement. Quantum theory thus reveals a basic oneness of the universe. The mathematical framework of quantum theory has passed countless successful tests and is now universally accepted as a consistent and accurate description of all atomic phenomena. The verbal interpretation, on the other hand, i.e. the metaphysics of quantum theory, is on far less solid ground. In fact, in more than forty years physicists have not been able to provide a clear metaphysical model. (Fritjof Capra, 1975)
Quantum Theory is founded on Wave Equations. Thus it is a strange thing, that for thousands of years we have imagined matter as discrete and separate particles and yet when the wave properties of matter where discovered they never thought to try a pure Spherical Standing Wave Structure of Matter. (i.e. Real waves in a Real Space). Instead Quantum Theory evolved along the path of the particle / wave duality of light and matter, and Born's statistical interpretations of the waves (which in hindsight was obviously going to lead to the end of a meaningful physics).
While Einstein tried to solve these problems by correctly rejected the concept of the discrete and separate 'particle' (which required fields to connect them) his error was to try and create a pure unified field theory of matter as continuous spherical fields. Again, in hindsight he should have realised that the 'field' evolved from the 'particle' and by rejecting particles he should have also rejected the force fields (which were assumed to be generated by particles and act on other particles). Then he would have likely realised that the only other sensible solution was to see if the waves of Quantum Theory could explain the particle and the field. As Stephen Hawking writes (correctly);
But maybe that is our mistake: maybe there are no particle positions and velocities, but only waves. It is just that we try to fit the waves to our preconceived ideas of positions and velocities. The resulting mismatch is the cause of the apparent unpredictability. (Hawking, 1988)
And once we understand the Wave Structure of Matter, we find that we can quite easily understand how a Spherical Standing wave must form a pointlike 'particle' effect at its Wave-Center, while also existing across the universe due to its Spherical In and Out Waves, thus explaining Paul Davies comments;
The idea that something can be both a wave and a particle
defies imagination, but the existence of this wave-particle duality is
not in doubt. .. It is impossible to visualize a wave-particle, so don't
try. ... The notion of a particle being everywhere at once is impossible
to imagine. (Davies, 1985)
The rules of clockwork might apply to familiar objects such as snooker
balls, but when it comes to atoms, the rules are those of roulette. (Paul
Davies, God and the New Physics)
The Spherical Standing Wave Structure of Matter in Space does solve many of the problems of Physics very simply and sensibly by providing the Metaphysical foundations for the fundamental laws of Nature (which found our knowledge of the real world).
Help Humanity
"You must be the change you wish to see in the world."
(Mohandas Gandhi)
"When forced to summarize the general theory of relativity in one sentence:
Time and space and gravitation have no separate existence from matter. ... Physical objects are not in space, but these objects are spatially extended. In this way the concept 'empty space' loses its meaning. ... The particle can only appear as a limited region in space in which
the field strength or the energy density are particularly high. ...
The free, unhampered exchange of ideas and scientific conclusions is necessary for the sound development of science, as it is in all spheres
of cultural life. ... We must not conceal from ourselves that no improvement in the present depressing situation is possible without
a severe struggle; for the handful of those who are really determined to do something is minute in comparison with the mass of the lukewarm
and the misguided. ...
Humanity is going to need a substantially new way of thinking if it is to survive!" (Albert Einstein)
We can now deduce the most simple science theory of reality - the wave structure of matter in space. By understanding how we and everything around us are interconnected
in Space we can then deduce solutions to the fundamental problems of human knowledge in physics, philosophy, metaphysics, theology, education, health, evolution and ecology, politics and society.
This is the profound new way of thinking that Einstein
realised, that we exist as spatially extended structures of the universe - the discrete and separate body an illusion. This simply confirms the
intuitions of the ancient philosophers and mystics.
Given the current censorship in physics / philosophy of science journals (based on the standard model of particle physics / big bang cosmology) the internet is the best hope for getting new knowledge
known to the world. But that depends on you, the people who care about science and society, realise the importance of truth and reality.
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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)
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(George Orwell)
"Hell is Truth Seen Too Late."
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