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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
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.
Importance of Philosophy to Mathematics / Physics
Problems of Self Fulfilling
Prophecy / Specialisation / Complexity
This is a short essay on why the most simple science theory of reality was never considered until now.
On Simplicity, Necessary Connection, Logic, Truth and Reality
(Deducing the Most Simple Science Theory of Reality)
It is a significant fact that no one ever asked the question;
What is the most simple science theory of reality?
You can confirm this by searching Google for the most simple science theory of reality - no other website on the internet considers this - which is strange given Occam's Razor (principle of simplicity) and Metaphysics (dynamic unity of reality) are both fundamental to science.
If you abide by the rules of science (logic from principles = knowledge
from senses) you can deduce this for yourselves as there is only one solution,
the Wave Structure of Matter (WSM) in Space.
And from this most simple theoretical foundation (of only one thing existing,
Space, with the properties of a wave medium) you can then deduce the fundamentals
of modern physics, and also explain and solve the central problems of philosophy
and metaphysics (which all relate to necessary connection). There is no
opinion involved - it shows that science does work - we just needed the
correct (most simple) foundations.
Thus it was premature to claim science does not really work (the logical positivist / social construct view of postmodern science - see Feynman quote below) without having considered this most simple solution.
There is an interesting quote from Albert Einstein on this relationship between physics and philosophy.
It has often been said, and certainly not without justification, that the man of science is a poor philosopher. Why then, should it not be the right thing for the physicist to let the philosopher do the philosophizing? Such might indeed be the right thing at a time when the physicist believes he has at his disposal a rigid system of fundamental concepts and fundamental laws which are so well established that waves of doubt cannot reach them; but, it cannot be right at a time when the very foundations of physics itself have become problematic as they are now. (Albert Einstein, 1936)
It must be said though, that mathematical physics has failed in the last
seventy years, since Einstein wrote this, to solve the problematic contradictions
that had arisen.
It seems likely, that by be being taught mathematical physics, physicists
are somehow passing on beliefs and particular ways of thinking to successive
generations which prevent them from solving these contradictions. This
possibility must be considered, and if it is true, it is something that
the more isolated philosopher will likely avoid.
Albert Einstein was actually a very good philosopher / metaphysicist as well as being a mathematical physicist (part of the reason for his greatness I think). Thus the following two quotes are very very important (all scientists should read them!)
I
fully agree with you about the significance and educational value of methodology
as well as history and philosophy of science. So many people today - and
even professional scientists - seem to me like somebody who has seen thousands
of trees but has never seen a forest. A knowledge of the historic and philosophical
background gives that kind of independence from prejudices of his generation
from which most scientists are suffering. This independence created by philosophical
insight is - in my opinion - the mark of distinction between a mere artisan
or specialist and a real seeker after truth.
(Albert Einstein to
Robert A. Thornton, 7 December 1944)
How
does it happen that a properly endowed natural scientist comes to concern
himself with epistemology? Is there no more valuable work in his specialty?
I hear many of my colleagues saying, and I sense it from many more, that
they feel this way. I cannot share this sentiment. ... Concepts that have
proven useful in ordering things easily achieve such an authority over us
that we forget their earthly origins and accept them as unalterable givens.
Thus they come to be stamped as 'necessities of thought,' 'a priori
givens,' etc. The path of scientific advance is often made impassable for
a long time through such errors. For that reason, it is by no means an idle
game if we become practiced in analyzing the long common place concepts
and exhibiting those circumstances upon which their justification and usefulness
depend, how they have grown up, individually, out of the givens of experience.
By this means, their all-too-great authority will be broken. (Albert
Einstein. 'Ernst Mach.' Physikalische Zeitschrift 17 (1916): 101,
102 - A memorial notice for the philosopher, Ernst Mach.)
The Evolution of Complexity in Mathematical Physics
Evolutionary philosophy tells us that evolving systems have a tendency
to become more complex over time. Therefore we would expect that since 1915
mathematical physics has evolved into a much more diverse, complex, specialized
field of knowledge.
There are some interesting consequences of this natural evolution of complexity.
Complexity and Specialization
As we are producing more and more mathematical relationships, further
and further removed from experience, it becomes increasingly difficult to
determine which relationships are only mathematically true, and which are
also physically true. Hence mathematical physics becomes very difficult
to understand, and relate to the physically real world around us (of matter
existing in Space).
Further to this, the individual who now studies mathematical physics, must
specialize to a much greater degree than they have in the past, to learn
one small field of knowledge satisfactorily. This then has the danger,
of producing individuals with a narrow focus, and a lack of perspective
and understanding about the world in general.
Russell makes note of this in this criticism of Platonists.
It is noteworthy that modern Platonists, with few exceptions, are ignorant of mathematics, in spite of the immense importance that Plato attached to arithmetic and geometry, and the immense influence they had on his philosophy. This is an example of the evils of Specialization: a man must not write on Plato unless he has spent so much of his youth on Greek as to have had no time for the things that Plato thought important. (Bertrand Russell)
It is logical, that this danger of Specialization applies more to the mathematical physicist, than to the natural philosopher, who studies truth wherever it may lead, and is thus naturally a generalist.
Self Fulfilling Prophecy
I think there are three strong self fulfilling prophecies in physics that are causing great harm.
a) Mathematical physics is too complex for a simple model to explain.
... and you think I'm going to explain it to you so you can understand it? No, you're not going to be able to understand it. ... That is because I don't understand it. Nobody does. ... as I explained in the first lecture, the way we have to describe Nature is generally incomprehensible to us. ... 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 P. Feynman)
It is obvious that if physicists think this way then they will never discover a new model for the universe. Their evolution of describing light, matter, and the universe, will be limited to the stumbling upon of mathematical relationships which correctly fit experiment. This is not meant to be harsh. The mathematical modeling of the universe is an awesome human achievement, and is the result of many thousands of wonderfully intelligent humans devoting their lives to developing mathematical relationships. It has been a process of evolution, where the survival of a mathematical relationships depends ultimately upon their agreement with experiment. The end result though, is just chaos and confusion - the exact opposite of the true aims of science.
b) Any simple model would have been found by one of the great minds of physics.
Surely all reasonable models for light and matter have been considered?
Certainly Einstein and all the other great physicists of the last century
considered all possible models!
And yet is this a valid and logical way to think? History actually shows
that it is not. We humans have thousands of beliefs, and some of these
are insidious and deceptive, and hinder scientific inquiry. It is very
hard to identify these beliefs, because they form the very fabric of how
we relate and think.
What we can say with certainty is that ideas come from individual minds,
from people. These people are not geniuses who divinely know all things,
they are people who study and think. It is the many who create the fame
and myth about the few who are famous. Once we discount the myth and follow
the evolution of ideas, we see more clearly why individuals thought the
way they did, and discovered what they have. We see more clearly the beliefs
and biases of their time, and how these things affected the way they thought.
It is true that my physics book contains far more knowledge than Einstein
ever had access to, and hence I have this great advantage of knowledge
over my predecessors. It is important to appreciate this knowledge, while
being aware of the many associated beliefs. To me, as a natural philosopher,
this is a major advantage.
Mathematics is the Only Language for Describing Reality
This self fulfilling prophecy applies to the idea that maths is the only language for describing reality, as the following quotes show;
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 visualization, however, we must content ourselves with two incomplete analogies - the wave picture and the corpuscular picture." (Werner Heisenberg, 1930)
... the progress of science has itself shown that there can be no pictorial representation of the workings of nature of a kind that would be intelligible to our limited minds. The study of physics has driven us to the positivist conception of physics. We can never understand what events are, but must limit ourselves to describing the pattern of events in mathematical terms: no other aim is possible .... the final harvest will always be a sheaf of mathematical formulae. These will never describe nature itself, but only our observations on nature. (Sir James Jeans, 1942)
Mathematics is the only good metaphysics. (William Thomson Baron Kelvin)
I think Einstein had the correct view.
As far as the laws of mathematics refer to reality, they are not certain; as far as they are certain, they do not refer to reality. (Albert Einstein)
And William Blake states this view rather nicely!
God forbid that Truth should be confined to Mathematical Demonstration! (Blake)
Conclusion: We should always look for the most simple
and obvious solution first! None of these arguments against a simple
sensible language for describing reality are valid - the quotes are really
just opinions without any source of truth.
Similar arguments were expressed about the complexity of life and the existence
of ourselves, as proof of divine creation, only to find that Darwin's
theory of evolution (a very simple idea) logically explained life in
complete satisfaction of scientific principles.
We become what we do
Why is it that the same human could equally become, a tribal savage, a bank manager, the executioner of other humans in the name of war, an artist, a mathematical physicist, a philosopher, ...?
The answer lies with understanding how our brain functions, and how we
think.
As a relationship machine, our brain is taught to relate various things.
Our nature of thinking, and how we behave, depends largely upon how this
thinking machine is taught / programmed.
We can only think about things if we have relationships in the brain which
can be accessed and give rise to ideas. If we isolate our brain from a diversity
of relationships, if we spend all our time thinking about the same few things,
then we find that we become limited in how we think.
The catch is, that we are unable to notice this lack of diversity of thinking,
as we do not notice what we do not have.
This is why this wide perspective of natural philosophy is extremely important. That in simply studying mathematics it becomes more true than the things which do actually exist in the space about us. Meaning appears in the mathematics itself, and hence the mathematical physicist’s perception of reality becomes somehow altered to the philosophers. To what degree, and how significant this is, I cannot say, but there is a certain logic to this argument which deserves consideration. The history seems to support this view, as Thomas Kuhn wrote;
Almost always the men who achieve these fundamental inventions of a new paradigm have been either very young or very new to the field whose paradigm they change. ...scientific training is not well designed to produce the man who will easily discover a fresh approach. (Kuhn, 1962)
History shows that we are very easily misled by the beliefs of others, that we are rather herd like in our thinking, and those new to the herd are, initially, more likely to see things differently.
Geoff Haselhurst
Natural Philosopher
(Philosophy of Science, Theoretical Physics, Metaphysics, Evolution)
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.
It is Easy to Help!
Just click on the Social Network links at top of page, or copy a nice image or quote you like and share it. We have a wonderful collection of knowledge from the greatest minds in human history, so people will appreciate your contributions. In doing this you will help a new generation of scientists see that there is a simple sensible explanation of physical reality (One Substance, One Law) - the source of truth and wisdom, the only cure for the madness of man! Thanks! Geoff Haselhurst (Updated May, 2025)
A new scientific truth does not triumph by convincing its opponents and making them see the light, but rather because its opponents eventually die, and a new generation grows up that is familiar with it. (Max Planck, 1920)
"All that is necessary for evil to succeed is for good people to do nothing."
(Edmund Burke)
"In a time of universal deceit - telling the truth is a revolutionary act."
(George Orwell)
"Hell is Truth Seen Too Late."
(Thomas Hobbes)
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