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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.



Quantum Physics: Erwin Schrodinger
Schrodinger's Wave Equations describe real Standing Waves of Matter in Physical Space. Erwin Schrodinger Biography, Pictures, Quotes


Introductory Quotes on Quantum Theory: Erwin Schrodinger

What we observe as material bodies and forces are nothing but shapes and variations in the structure of space. Particles are just schaumkommen (appearances). ...
The world is given to me only once, not one existing and one perceived. Subject and object are only one. The barrier between them cannot be said to have broken down as a result of recent experience in the physical sciences, for this barrier does not exist. ...
The scientist only imposes two things, namely truth and sincerity, imposes them upon himself and upon other scientists. (Erwin Schrodinger)

Let me say at the outset, that in this discourse, I am opposing not a few special statements of quantum physics 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 Physics. 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 Physics)

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 physics 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 physics, 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)


Introduction - Erwin Schrodinger Wave Equations - Schrodinger Quotes - Biography Erwin Schrodinger - Top of Page

Introduction

(Erwin Schrodinger, 1995) 'I don't like Quantum Mechanics, and I'm sorry I ever had anything to do with it.'Erwin Schrodinger made a profound discovery in 1927 by showing that the discrete energy states of Matter could be determined by Wave Equations.

Unfortunately, the following year Max Born stumbled upon the mathematical relationship that the square of these equations described a probability function for where the 'particle' could be found. Thus rather than realising that matter was made of waves (the obvious conclusion), for the next seventy years humanity went down the path of assuming the particles were real, and the waves were merely probability functions (or perhaps more correctly, that neither 'particles or waves' are real, both are merely human constructions, logical tools of thinking that approximate reality). Nonetheless, we were left with the conceptual paradox of the particle-wave duality of matter and light, and the absurdities that must inevitably follow from such contradictions.

These problems have caused great confusion within modern physics, as both Heisenberg and Davies explain;

(Werner Heisenberg, 1930) '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.'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 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)

Only recently, with the Metaphysics of Space and Motion and the Spherical Wave Structure of Matter can we now finally solve these problems and provide the 'clear metaphysical model' that Capra sought. The solution to this apparent paradox is simple, and is found by realising that the discrete 'particle' properties of matter and light (quanta) are in fact caused by the Spherical Standing Wave Structure of Matter (i.e. Standing Waves only exist at discrete frequencies which cause the discrete energy states of light and matter).
I hope you enjoy this slightly different view of the world, that it brings some clarity to previous confusions, and stimulates your mind to further thoughts.

Geoff Haselhurst


Introduction - Erwin Schrodinger Wave Equations - Schrodinger Quotes - Biography Erwin Schrodinger - Top of Page

Erwin Schrodinger  - The scientist only imposes two things, namely truth and sincerity, imposes them upon himself and upon other scientists. Erwin Schrodinger: Quantum Physics
Schrodinger Wave Equation describes Real Standing Waves of Matter in Physical Space

Quantum Mechanics: Erwin SchrodingerLet 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 Physics. Ox Bow Press, Woodbridge, CN, 1995).

Erwin Schrodinger discovered that when frequency f and de Broglie wavelength y were substituted into general wave equations it becomes possible to express energy E and momentum mv as wave functions - thus a confined particle (e.g. an electron in an atom/molecule) with known energy and momentum functions could be described with a certain wave function.
From this it was further found that only certain frequency wave functions, like frequencies on musical strings, were allowed to exist. These allowed functions and their frequencies depended on the confining structure (atom or molecule) that the electron was bound to (analogous to how strings are bound to a violin, and only then can they resonate at certain frequencies).
Significantly, these allowed frequencies corresponded to the observed discrete frequencies of light emitted and absorbed by electrons bound in atoms/molecules. This further confirmed the standing wave properties of matter, and that only certain standing wave frequencies could exist which corresponded to certain energy states.

As Albert Einstein explains;

How can one assign a discrete succession of energy values E to a system specified in the sense of classical mechanics (the energy function is a given function of the co-ordinates x and the corresponding momenta mv)? Planck's constant h relates the frequency f =E/h to the energy values E. It is therefore sufficient to assign to the system a succession of discrete frequency f values. This reminds us of the fact that in acoustics a series of discrete frequency values is coordinated to a linear partial differential equation (for given boundary conditions) namely the sinusoidal periodic solutions. In corresponding manner, Schrodinger set himself the task of coordinating a partial differential equation for a scalar wave function to the given energy function E (x, mv), where the position x and time t are independent variables. (Albert Einstein, 1954)

And here we have a final piece of the puzzle in a sense, for it was Schrodinger who discovered that the standing waves are scalar waves rather than vector electromagnetic waves. This is an important difference, vector electromagnetic waves are mathematical waves which describe a direction (vector) of force, whereas the wave Motions of Space are scalar waves which are simply described by their wave-amplitude.
With de Broglie's introduction of the concept of standing waves to explain the discrete energy states of atoms and molecules, and the introduction of scalar waves by Schrodinger, they had intuitively grasped important truths of, as Einstein confirms;

Quantum Theory: Albert EinsteinThe de Broglie-Schrodinger method, which has in a certain sense the character of a field theory, does indeed deduce the existence of only discrete states, in surprising agreement with empirical facts. It does so on the basis of differential equations applying a kind of resonance argument. (Albert Einstein, On Quantum Physics, 1954)

Quantum Physics: Heisenberg's Uncertainty Principle & Born's 'Probability Waves' (1928)

Werner Heisenberg: Heisenberg's  Uncertainty Principle of Quantum TheoryAt 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, limiting how precisely we can determine both the position and momentum of the particle.
Max 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 this maintained the belief in the particle/wave duality, in a new form where the 'quantum' scalar waves had become 'probability waves' for the 'real' particle. Albert Einstein 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.

Quantum Physics: Albert EinsteinIt seems to be clear, therefore, that Born's statistical interpretation of quantum physics 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, On Quantum Physics, 1954)

Albert Einstein was correct to realise that matter is not a discrete 'particle' but is spherically spatially extended. His error was to represent matter as a continuous spherical force field rather than a Spherical Standing Wave (a subtle but profound difference). Thus it is true that matter is intimately interconnected to all the other matter in the universe (by the spherical In and Out-waves). 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 Physics.

Quantum Mechanics: Albert EinsteinThus 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 Quantum Physics' laws make no claim to describe physical reality itself, but only probabilities of the occurrence of a physical reality that we have in view.
… 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, On Quantum Physics, 1954)

Albert Einstein believed 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), this then gives rise to the chance and uncertainty found in Quantum Theory.
It is also true that we must give up the idea of complete localization and knowledge of the 'particle', which is merely a mathematical concept and is caused by the wave-center of the Spherical Standing Wave.

Remarkably, Stephen Hawking was very close to the truth when he wrote;

(Stephen Hawking, 1988) '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.'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. (Stephen Hawking, 1988)

Read more on the Wave Structure of Matter as a simple solution to the problems of Quantum Physics, Relativity, and Cosmology.


Introduction - Erwin Schrodinger Wave Equations - Schrodinger Quotes - Biography Erwin Schrodinger - Top of Page

Quantum Mechanics: Erwin Schrodinger Quotes Quantum Physics: Erwin Schrodinger Quotes

The scientist only imposes two things, namely truth and sincerity, imposes them upon himself and upon other scientists. (Schrodinger)

Quantum Mechanics: Erwin SchrodingerThe 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)

There is nothing either good or bad but thinking makes it so. (Erwin Schrodinger)

Men and women for whom this world was lit in an unusually bright light of awareness, and who by life and word have, more than others, formed and transformed that work of art which we call humanity, testify by speech and writing or even by their very lives that more than others have they been torn by the pangs of inner discord. Let this be a consolation to him who also suffers from it. Without it nothing enduring has ever been begotten. (Erwin Schrodinger)

For a solitary animal egoism is a virtue that tends to preserve and improve the species: in any kind of community it becomes a destructive vice. An animal that embarks on forming states without greatly restricting egoism will perish. (Erwin Schrodinger)

We must not wait for things to come, believing that they are decided by irrescindable destiny. If we want it, we must do something about it. (Erwin Schrodinger)

We are, I believe, at the moment in grave danger of missing the 'path to perfection'. (Erwin Schrodinger)

Democritus introduces the intellect having an argument with the senses about what is 'real'.
The intellect says; 'Ostensibly there is colour, ostensibly sweetness, ostensibly bitterness, actually only atoms and the void.'
To which the senses retort; 'Poor intellect, do you hope to defeat us while from us you borrow your evidence? Your victory is your defeat.' (Erwin Schrodinger)

What we observe as material bodies and forces are nothing but shapes and variations in the structure of space.
Particles are just schaumkommen (appearances). ...
Quantum Mechanics: Erwin SchrodingerThe world is given to me only once, not one existing and one perceived. Subject and object are only one. The barrier between them cannot be said to have broken down as a result of recent experience in the physical sciences, for this barrier does not exist. ...
The scientist only imposes two things, namely truth and sincerity, imposes them upon himself and upon other scientists.
(Erwin Schrodinger)

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 Physics. 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)

References

Albert Einstein, Ideas and Opinions; Special and General Relativity. Crown, 1954
Erwin Schrodinger, What is Life? Mind and Matter, Cambridge University, 1967


Introduction - Erwin Schrodinger Wave Equations - Schrodinger Quotes - Biography Erwin Schrodinger - Top of Page

Quantum Physics: Erwin Schrodinger Biography Erwin Schrodinger Biography

Erwin Rudolf Josef Alexander Schrödinger (August 12, 1887 – January 4, 1961) was an Austrian physicist famous for his contributions to quantum mechanics, especially the Schrödinger equation, for which he won the Nobel Prize in 1933. He proposed the Schrödinger's cat thought experiment, and he had a life-long interest in Vedanta.

Early years

In 1887, Schrödinger was born, in Vienna, to Rudolf Schrödinger (cerecloth producer, botanist) and Georgine Emilia Brenda. In 1898, he attended the Akademisches Gymnasium. Between 1906-10, Schrödinger studied in Vienna with Franz Serafin Exner (1849 - 1926) and Fritz Hasenöhrl (1874 - 1915). He also conducted experimental work in Kohlrausch. In 1911, Schrödinger became an assistant to Exner.

Middle years

Quantum Physics: Erwin Schrodinger BiographyIn 1914, Erwin Schrödinger achieved Habilitation (venia legendi). Between 1914-18, he was involved in war participation (Görz, Duino, Sistiana, Prosecco, Vienna). In 1920 April 6, Schrödinger married Annemarie Bertel. In 1920, he became the assistant to Max Wien, in Jena. In 1920, Sept. he attained the position of a. o. Prof. (Ausserordentlicher Professor), roughly equivalent to Reader (UK) or associate professor (US)), in Stuttgart. In 1921, he attained the o. Prof. (Ordentlicher Professor, i.e. full professor), in Breslau (presently Wroclaw, Poland)

In 1922, he went to the Zürich University. In 1926, Schrödinger published in the Annalen der Physik the paper "Quantisierung als Eigenwertproblem" [tr. Quantisation as an Eigenvalue Problem] over wave mechanics and what is now known as the Schrödinger equation. In 1927, he followed Max Planck in Berlin to the Humboldt-University. In 1933, however, Schrödinger decided to leave Germany; he disliked the Nazi's anti-semitism. He became the Fellow of Magdalen College, University of Oxford. Soon after he arrived, he received the Nobel Prize together with Paul Adrien Maurice Dirac. His position at Oxford did not work out, it seems that his unconventional personal life (Schrödinger lived with two women) was not considered acceptable. In 1934, Schrödinger lectured at Princeton University and was offered a permanent position but did not accept it. Again, his wish to set up house with his wife and his mistress may have been a problem. There was also a possibility of his being offered a position at the University of Edinburgh but there were visa delays and in the end he returned, in 1936 to University Graz, Austria.

Later years

Quantum Physics: Erwin Schrodinger BiographyIn 1938, after Hitler occupied Austria, he had problems due to leaving Germany in 1933 and his known opposition to Nazism. He issued a statement recanting this opposition, something he later regreted and for which he personally apologised to Einstein. However, this did not fully appease the new dispensation and he was dismissed from his job for political unreliability. He suffered harassment and was told not to leave the country. He and his wife fled to Italy. From there he went to visiting positions in Oxford and in the University of Ghent. In 1940 he was asked to help establish an Institute for Advanced Studies in Dublin, Ireland. He became the Director of the School for Theoretical Physics and remained there for 17 years. He wrote about 50 further publications on various topics. These were attempts towards a unified field theory.

In 1944, he wrote "What is Life?" (which contains Negentropy, concepts for genetic code). According to James D. Watson's memoir, DNA, The Secret of Life, Schrödinger's 1944 book What is Life? gave Watson the inspiration to research the gene, which led to the discovery of the DNA double helix structure. He stayed in Dublin until retirement. During this time he remained committed to his particular passion; there were scandaluous involvements with students and he fathered two children by two different Irish women.

In 1956, he returned to Vienna (chair ad personam). At an important lecture during the World Power Conference he refused to speak on nuclear energy because of his scepticism about it (he gave a philosophical lecture instead).

In 1961, Schrödinger died in Vienna at the age of 73 (due to tuberculosis). He left a widow, Anny. He was buried in Alpbach (Austria)

Erwin Schrodinger Biography
https://en.wikipedia.org/wiki/Erwin_Schrodinger

 


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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. ...
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