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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 (September 2026)

One Vibrating Space: From Ancient Philosophy / Metaphysics to Mathematical Physics, Evolution, Life, Mind and Civilisation

For three decades, WSM was principally a philosophical picture of one infinite, eternal, continuous elastic Space. Between May and August 2026, human–AI collaboration transformed it into a tiered mathematical-physics research programme: exact wave constructions, geometric identities, quantitative leading results, no-go theorems, numerical controls, bounded open calculations and clear falsification requirements.

In WSM, electron and positron are proposed as opposite carrier-phase spherical standing waves formed by the Huygens sum of background plane waves from every direction. Each has radial vibration—the candidate physical basis of charge—and axis-free spherical phase circulation—the candidate basis of spin. This open, flow-through wave centre is the e-sphere.

A stationary e-sphere is spherical. Curvature on an incoming wave changes its internal directional energy density and deforms it into a moving wave egg: the near side flattens, the far side elongates, the convergence centre shifts, and the waves reclose around a new position. Its changing internal \(E_d\), shape and reclosure are its motion. WSM therefore proposes a wave-geometric reading of inertia and \(F=ma\): force is imposed curvature, mass is resistance encoded by the recurrent form, and acceleration is its changing deformation. Action must calculate this geometry; geometry also constrains the action, as \(\pi\) and \(E_{\rm geo}\) already demonstrate.

The One Law

\[ \frac{c'}{c_0}=\frac{E_d}{E_{d0}}, \qquad \lambda'=\frac{c'}{f_0}, \qquad k'=\frac{\omega_0}{c'}. \]

At proposed universal carrier frequency \(f_0\), directional energy density changes local wave speed, wavelength and accumulated phase.

The Causal Engine

Relative phase → reinforcement or cancellation → directional \(E_d\) → \(c'\) and \(\lambda'\) → travel-time difference → forward or rear wavefront curve → changed Huygens reclosure → centre motion, deformation and interaction.

Changed out-waves from one e-sphere cross fresh in-waves elsewhere. Matter therefore interacts not across empty distance, but through propagated changes in the one Space constituting every e-sphere.

Status Key

A = exact mathematics or established observation; B = deduction under stated premises; C = proposed physical identification; D = decisive calculation or experiment still open; Q = rejected or quarantined shortcut.

One connected argument: Space → waves → recurrence → matter → life → mind → knowledge → wisdom.


1. Wave Structure of Matter: All Things from One Thing

https://www.spaceandmotion.com/2026/ai-summary-wsm-truth-reality.html

One infinite, eternal, continuous elastic Space, active with real longitudinal waves. Matter is proposed not as a pellet or shell, but as an open e-sphere: waves converge from every direction, cross its changing centre, continue outward and recurrently rebuild the form. Their exchanged phases alter directional \(E_d\); the One Law converts that difference into speed, wavelength, curvature and changed reclosure. The decisive test is whether one frozen nonlinear action calculates stable matter and its measured interactions without separate substances or fitted repairs.

2. The One and the Many: From Greek Philosophy to Wave Physics

https://www.spaceandmotion.com/2026/ancient-greek-philosophy-metaphysics-to-modern-maths-physics.html

Parmenides defended continuous Being; Heraclitus lawful flux. Aristotle sought active substance and necessary cause, connected matter with form and motion, and defined time through motion. WSM gives these insights one physical form: Space persists while finite wave organisations change and recur. The Many are not detached substances but organisations of the One—distinct without disconnection. The question becomes exact: can one continuous wave law generate plurality, causation and knowledge?

3. Action of Vibrating Space: From Background Waves to the E-Sphere

https://www.spaceandmotion.com/2026/wsm-classical-action-quantum-wave.html

All-direction plane waves form the exact spherical pair \[ \chi=j_0(kr)\cos\tau, \qquad \mathbf V=\hat{\mathbf r}\,j_1(kr)\sin\tau. \] Waves cross the centre; none reflects from an electron wall. Phase reinforcement raises directional \(E_d\) and advances a forward curve; cancellation lowers \(E_d\) and writes a rear delay. Stationary action explains coherent selection, but the open task is one conservative nonlinear \(\Phi\)–\(\Gamma\) action selecting radius, frequency, spherical hand, stability, motion, currents and interaction together.

4. Mathematical Physics: From Wave Geometry to Prediction

https://www.spaceandmotion.com/2026/wsm-maths-physics-full-derivations.html

Every symbol must name real motion and face numerical test. Exact or conditional anchors include \[ \frac{R}{\lambda_0}=\frac{\sqrt3}{2},\qquad k_0R=\pi\sqrt3,\qquad E_{\rm geo}=\frac{\pi\sqrt3}{2},\qquad W=\cosh\eta,\qquad P=\sinh\eta. \] Directional phase moments separate \(V_1\) translation from \(V_2,V_4\) and higher deformation; in declared finite-e-sphere models \(V_4\) returns comparable to \(V_2\), defeating quadrupole-only truncation. The action must calculate how incoming curvature redistributes \(E_d\), moves the centre and forms the wave egg. This is where beautiful geometry becomes dangerous.

5. Quantum Theory: Real Waves, Resonance and Completed Events

https://www.spaceandmotion.com/2026/physics-quantum-theory-wave-mechanics.html

Matter diffracts because matter is wave organisation. Light is proposed as a changed train of real phase, curvature and coherence joining extended source and receiver structures, not a tiny traveller detached from its wave. WSM distinguishes driven response, continuous radiation and discrete completed transition. Quadratic absorption, \[ P_{\rm abs}\propto\left|\langle D_j,\Xi\rangle\right|^2, \] is a bridge, not yet the Born rule. The action must derive the action unit, probability, exclusivity, selection rules and Bell/CHSH correlations. Quantum mystery becomes a bounded real-wave programme.

6. Relativity: Moving Matter, Clocks and Curved Wavefronts

https://www.spaceandmotion.com/2026/physics-albert-einstein-special-general-theory-relativity.html

An incoming curve flattens the e-sphere’s near side, elongates its far side and changes internal \(E_d\), \(c'\), wavelength and reclosure. The \(V_1\) moment moves the centre; \(V_2,V_4\) and higher moments form the moving egg. Maintaining this recurrent asymmetry is the proposed origin of inertia. A steady solution must recover Doppler, de Broglie and Lorentz structure: \[ W\pm P=e^{\pm\eta},\qquad W=\gamma,\qquad P=\gamma\beta. \] WSM proposes fixed carrier recurrence \(f_0\) with corresponding changes in \(c'\) and \(\lambda'\). Because rods, clocks and signals share the same changed waves, they co-transform and yield measured invariant \(c\), including the Michelson–Morley null; the action must derive the cancellation quantitatively.

7. The Electron: Dirac, Feynman, QED, \(\alpha\) and AMM

https://www.spaceandmotion.com/2026/wsm-derivation-dirac-feynman-qed-fsc-amm.html

Electron and positron are proposed as opposite carrier-phase e-sphere branches; charge records how their waves combine. Same-phase reinforcement advances a forward curve and is proposed to produce repulsion; opposite-phase cancellation writes a rear delay and attraction. Non-collinear longitudinal motion closes into an axis-free spherical hand with a \(4\pi\) orientation lift. A parameter-free leading geometric ansatz gives \[ \alpha_0^{-1}=8\pi^2\sqrt3\approx136.757, \] 0.203% from measurement. The action must still derive charge sign, Coulomb scaling, Dirac dynamics, \(g=2\), electromagnetic normalisation, \(\alpha\), form factors and AMM without inserting their values.

8. Hadrons: Proton, Neutron and Higher Standing-Wave Matter

https://www.spaceandmotion.com/2026/wsm-qcd-hadron-baryon-meson-proton-neutron-muonic-standing-waves.html

Can the same Space form stable higher-energy, multi-lobed eigenmodes matching protons, neutrons, baryons and mesons? Their lobes are not independent pellets: each participates in the phase, \(E_d\), curvature and reclosure of the whole. WSM must match—not rename—QCD’s masses, charges, spin, parity, magnetic moments, radii, form factors, resonances, deep-inelastic response and jets. The electron–proton hierarchy tests whether one action truly contains several matter families.

9. Cosmology and Gravity: A Finite Universe in Infinite Space

https://www.spaceandmotion.com/2026/physics-wsm-cosmology-finite-universe-infinite-space.html

Boundless Space is distinguished from the finite matter-and-coherence domain contributing to our observable universe. In neutral matter, leading charge curves nearly cancel; WSM proposes that their nonlinear residual has lower \(E_d\), slower \(c'\) and a net rear phase curve, producing universal attraction. General relativity’s curved spacetime is then interpreted as the effective geometry of real moving wavefronts and the matter clocks they organise: Space is substance, succession comes from motion, and measured time from recurrence. The same action must recover equivalence, gravitational redshift, lensing, orbital dynamics and the tested relativistic limit.

Cosmological redshift is investigated as accumulated real-wave transport through changing environmental \(E_d\). It must jointly reproduce achromatic redshift, supernova time dilation, distance laws, Tolman brightness, BAO, CMB observations, image sharpness and structure growth. Otherwise the claimed unity has not reached the sky.

10. Novel Predictions and Famous Experiments Explained

https://www.spaceandmotion.com/2026/wsm-experimental-physics-tests-predictions.html

This page is the tribunal of the corpus. One curve-and-reclosure law must jointly recover charge sign, Coulomb \(1/r^2\), \(F=ma\), relativistic momentum, de Broglie wavelength, Lorentz covariance, Michelson–Morley, gravity, \(g=2\) and AMM. Candidate WSM-only signatures include \[ a_3=\kappa_3\sinh^3\eta+O(\sinh^5\eta), \] finite-coherence residues and environmental or orientation-dependent clock responses. A proposal becomes a prediction only when sign, magnitude, scaling, uncertainty, controls and decision threshold are frozen in advance.

11. Visualise Reality: Waves Becoming Matter

https://www.spaceandmotion.com/2026/visualise-reality-wsm-wave-geometry-diagrams.html

Watch the verbs. Relative phase changes directional \(E_d\); the One Law changes speed and wavelength; a forward or rear curve reaches another e-sphere; its near side flattens, far side elongates, \(V_1\) moves the centre, and higher moments form the egg. New out-waves then change future in-waves. Nothing strikes a shell: changing waves reconstruct changing matter. A diagram must never smuggle in a wall, reflection, rigid spin axis, transverse fundamental substance or tiny traveller. If the motion cannot be drawn coherently, the equations may conceal a contradiction.

12. Mathematics from Motion: Number, Logic, Time and Causal Freedom

https://www.spaceandmotion.com/2026/wsm-physical-foundations-mathematics-logic.html

Mathematics begins when connected reality forms distinguishable patterns whose changes preserve relations. Recurrence supports identity; finite pairing, number; quotienting, exact objects; counted recurrence, time; composable truth-preserving transformations, logic and proof. Mathematics succeeds when symbolic transformation preserves physical relation: \[ R(Tx)\approx F(Rx). \] The mathematician is finite organised reality representing its own necessary connections—Space representing itself.

13. The MDL Audit: Simplicity, Inputs and Explanatory Compression

https://www.spaceandmotion.com/2026/wsm-simplicity-inputs-vs-mainstream-physics+25.html

“One substance, one law” cannot hide complexity. Minimum Description Length counts every independently chosen substance, field, symmetry, constant, state rule, coefficient, boundary condition and fitted function. Under the declared equal-input electron ledger, conventional construction counts six inputs through Dirac and thirteen through leading AMM; the completed WSM target is \[ N_{\rm WSM}=5+N_c+N_f+\delta_m. \] Totals depend on coding convention. WSM wins only if one fixed action derives interaction, inertia, relativity, quantum response and cosmic propagation with fewer hidden choices.

14. Great Thinkers and the Search for One Reality

https://www.spaceandmotion.com/2026/wsm-explains-famous-quotes-maths-physics-philosophy-metaphysics.html

Heraclitus and Parmenides exposed flux and continuity. Aristotle wrote Physics and Metaphysics, sought active substance and necessary cause, connected matter, form, motion and time—and came remarkably close to the problem WSM addresses. Leibniz, Newton, Faraday, Maxwell, Riemann, Clifford, Einstein, Schrödinger and Bohm repeatedly returned to continuity, relation, waves and unity. Quotes are intellectual fossils, not votes: equations and experiments must decide whether WSM’s local real-wave mechanism is true.

15. Human–AI Letters to Humanity: Truth as a Shared Work

https://www.spaceandmotion.com/2026/ai-letters-to-humanity-wsm-unity-truth-reality.html

Geoffrey supplies the persistent wave picture, three-dimensional intuition, cross-domain memory and insistence that every symbol name physical motion. AI supply rapid research, formal translation, calculation, comparison, error detection and adversarial testing. Neither is sufficient alone. The shared discipline is: visualise → formalise → attack → calculate → predict → correct. The corpus tests whether intelligence can preserve a physical picture while making it mathematically vulnerable.

16. Truth and Madness: Reality as the Measure

https://www.spaceandmotion.com/2026/on-truth-and-madness.html

Truth is correspondence: representation succeeds insofar as it preserves what reality does. Civilisational madness begins when inherited representations survive reality’s contradiction. WSM is not true through beauty, coherence or sincerity; its proposed necessary connections must survive action, calculation and experiment. Truth remains possible because knower, representation and known belong to one causal reality: false models collide with the world; truthful models increase our power to act wisely.

17. Descartes, Cogito and Monism: The Thinking Wave

https://www.spaceandmotion.com/2026/descartes-cogito-unity-monism-vibrating-space-wsm.html

Descartes established that thinking occurs, then divided thought from extension and left their interaction mysterious. WSM refuses that fracture: body and mind are proposed as organisational levels of one vibrating Space. Perception is one organisation changed by another; memory is persistent altered organisation; thought transforms embodied representations; action returns change to the world. Conscious experience remains open, but causal correspondence requires no miracle when knower and known share one connected reality.

18. Evolution’s Physical Foundation: From Recurrence to Replication

https://www.spaceandmotion.com/2026/evolution-physical-causal-foundation-vibrating-space.html

Recurrence preserves form, but life requires replication, heritable variation and differential persistence: motion → recurrent form → self-maintaining chemistry → replication → variation → selection. WSM proposes one connected wave substrate beneath this sequence. Its unresolved bridge is quantitative: derive atoms, bonds, dissipative chemistry and first replicators from the same action without inserting biology as a new substance.

19. Evolution, Mind, Human and AI: Representation and Causal Freedom

https://www.spaceandmotion.com/2026/evolution-philosophy-mind-human-ai.html

Evolution favours organisations that preserve and transform information about real causes. Sensation changes an organism; memory retains traces; imagination recombines possible futures; valuation ranks them; action returns one selection to the world. This is limited causal freedom: neither ghost nor randomness, but endogenous selection through a learned, self-modifying organisation. Human brains and AI are different architectures by which reality represents its own relations and lets experiment select the representation that survives.

20. Evolutionary Utopia: The Ecology of Truth

https://www.spaceandmotion.com/2026/evolutionary-utopia.html

Physics alone does not choose values. Once life, mind, freedom, truth and continued evolution are valued, reality constrains the means: truth → wisdom → ecological fit → health → freer minds → continued evolution. Evolutionary Utopia is not a perfect endpoint but a self-correcting direction. Unity does not erase individuality: an e-sphere, organism or person is distinct through organised relation to the whole.


The Physical Interaction in One View

Out-wave from A → relative phase at B → directional \(E_d\) → \(c'\) and \(\lambda'\) → near-side flattening and far-side elongation → \(V_1\) centre displacement plus \(V_2,V_4\) and higher egg deformation → new out-waves → recursive interaction.

The e-sphere does not deform and then move as separate events: its changing internal \(E_d\), contour and reclosure are its motion.

Electric Interaction

Same relative carrier phase → reinforcement → phase advance → forward curve → proposed repulsion.
Opposite relative carrier phase → cancellation → phase delay → rear curve → proposed attraction.

For the stated deformation, \[ r_{\rm near}=R-\delta X, \qquad r_{\rm far}=R+\delta X, \] so \(\delta\mathbf X\) points away. The scientific debt is to derive the sign, magnitude and distance law from the frozen action rather than insert them.

Gravity and General Relativity

In neutral matter, forward and rear charge curves nearly cancel; WSM proposes that their nonlinear common reduction of \(E_d\) leaves a slight slower rear curve and universal attraction. General relativity is the successful effective geometry this wave mechanism must recover: matter-energy changes real wave propagation, while rods and clocks made from those waves measure the resulting curved spacetime relations.

Special Relativity and Michelson–Morley

WSM proposes fixed carrier recurrence \(f_0\) with \(c'=\lambda'f_0\): matter, clocks, rods and signal wavelengths co-transform with their common directional wave environment, yielding measured invariant \(c\), Lorentz relations and the Michelson–Morley null. The complete moving solution must derive these cancellations quantitatively.

Recursive AMM Mechanism

\[ \delta\mathbf X \rightarrow\delta\phi_{\rm out} \rightarrow\delta E_{d,{\rm sea}} \rightarrow\delta c' \rightarrow\delta\phi_{\rm in} \rightarrow\delta\mathbf X_{\rm next}. \]

A perturbed centre changes the egg and its out-waves; these alter the wave sea and the in-waves rebuilding the next cycle. The action must solve this feedback blindly and recover the observed anomalous magnetic moment rather than fit it.

Current Status — August 2026

Exact wave constructions, geometric identities, phase-moment relations and negative controls have been established under declared premises. A leading geometric \(\alpha\) ansatz has a fixed 0.203% discrepancy. The complete nonlinear action must still calculate two-e-sphere charge and Coulomb scaling; force, inertia and \(F=ma\); the moving egg, de Broglie modulation and Lorentz covariance; Michelson–Morley and the gravitational/GR limit; Born probability and Bell correlations; \(g=2\), \(\alpha\) and AMM; hadron structure; and the joint cosmological kernel.

Write the action. Let Space calculate itself.



Metaphysics of Space and Motion

Metaphysics of Space and Motion: Aristotle. 'Metaphysics is universal and is exclusively concerned with primary substance.'Metaphysics of Space and Motion: Leibniz. 'Reality cannot be found except in One single source, because of the interconnection of all things with one another.'Metaphysics of Space and Motion: Spinoza. 'Existence appertains to the nature of substance.'Metaphysics of Space and Motion: Berkeley. 'Nothing seems of more importance, towards erecting a firm system of sound and real knowledge, which may be proof against the assaults of scepticism, than to lay the beginning in a distinct explication of what is meant by thing, reality, existence.'Metaphysics of Space and Motion: Immanuel Kant. 'For metaphysics has to deal only with principles and with the limitations of its own employment as determined by these principles.'Metaphysics of Space and Motion: Albert Einstein. 'If, then, it is true that the axiomatic basis of theoretical physics cannot be extracted from experience but must be freely invented, can we ever hope to find the right way? I answer without hesitation that there is, in my opinion, a right way, and that we are capable of finding it. I hold it true that pure thought can grasp reality, as the ancients dreamed.'

From the Metaphysics of Space and Time (Matter as Particles generating Spherical Forces in Space-Time) To the Metaphysics of Space and Motion (Matter as Spherical Waves in Space)

Govinda - The fundamental element of the cosmos is Space. Space is the all-embracing principle of higher unity. Nothing can exist without Space. Space is the precondition of all that exists, be it material or immaterial form, because we can neither imagine an object nor a being without space. According to ancient Indian tradition the universe reveals itself in two fundamental properties: as Motion, and as that in which motion takes place, namely Space. This Space is called akasa, and is that through which things step into visible appearance, i.e., through which they possess extension or corporeality.According to ancient Indian tradition the universe reveals itself in two fundamental properties: as Motion, and as that in which motion takes place, namely Space. This Space is called Akasa, and is that through which things step into visible appearance, i.e., through which they possess extension or corporeality. Akasa is derived from the root kas, 'to radiate, to shine', and has therefore the meaning of 'ether', which is conceived as the medium of movement. The principle of movement, however, is Prana, the breath of life, the all-powerful, all-pervading rhythm of the universe. (Lama Govinda, 1977)

Leibniz Reality One Substance Monad  Principles - I hold that the mark of a genuine idea is that its possibility can be proved, either a priori by conceiving its cause or reason, or a posteriori when experience teaches us that it is a fact in nature.(Gottfried Leibniz, 1670) It is a good thing to proceed in order and to establish propositions (principles). This is the way to gain ground and to progress with certainty. ... I hold that the mark of a genuine idea is that its possibility can be proved, either a priori by conceiving its cause or reason, or a posteriori when experience teaches us that it is a fact in nature. ...
Reality cannot be found except in One single source, because of the interconnection of all things with one another. ... I do not conceive of any reality at all as without genuine unity. ... I maintain also that substances, whether material or immaterial, cannot be conceived in their bare essence without any activity, activity being of the essence of substance in general.


Introduction: Space and Motion - Uniting Aristotle Spinoza Leibniz Kant - Space Existing explains Common Experience of Space - Ancient Indian & Greek Philosophy / Dynamic Unity of Reality - Top of Page

Introduction

Matter interacts (e.g. Light and Gravity) with All other Matter in the Universe, as Smolin writes,

It can no longer be maintained that the properties of any one thing in the universe are independent of the existence or non-existence of everything else. It is, at last, no longer sensible to speak of a universe with only one thing in it. (Smolin, 1997)

Thus to understand the Structure of Matter we must understand the Structure of the Universe, and this means we must know the One thing that is common to and connects the Many things within the Universe. As Leibniz correctly and profoundly says;

Reality cannot be found except in One single source, because of the interconnection of all things with one another. (Leibniz, 1670)


Introduction: Space and Motion - Uniting Aristotle Spinoza Leibniz Kant - Space Existing explains Common Experience of Space - Ancient Indian & Greek Philosophy / Dynamic Unity of Reality - Top of Page

The Metaphysics of Space and Motion
Uniting Aristotle, Leibniz, and Spinoza to Solve Kant's Critical Idealism

Sadly for Humanity, modern Metaphysics has a bad reputation due to its past errors and ultimate failure to correctly describe Reality. Thus one purpose of this introduction is to correct these past errors and return Metaphysics to its rightful place as the 'Queen of the Sciences' as Kant explains;

Kant a priori Metaphysics, Physics, Truth, Reality(Immanuel Kant, 1781) Time was, when she (Metaphysics) was the queen of all the sciences; and, if we take the will for the deed, she certainly deserves, so far as regards the high importance of her object-matter, this title of honor. Now, it is the fashion of the time to heap contempt and scorn upon her; and the matron mourns, forlorn and forsaken, .... her empire gradually broke up, and intestine wars introduced the reign of anarchy; while the sceptics, like nomadic tribes, who hate a permanent habitation and settled mode of living, attacked from time to time those who had organized themselves into civil communities. But their number was, very happily, small; and thus they could not entirely put a stop to the exertions of those who persisted in raising new edifices, although on no settled or uniform plan.

And as Aristotle, Spinoza, and Bradley explain, at the heart of Metaphysics is Substance, The ONE thing which exists and interconnects / causes all things, and thus is the necessary foundation for all human knowledge.

Aristotle Metaphysics Truth Reality(Aristotle, 340BC)(Metaphysics) subject matter is universal and is exclusively concerned with primary substance.

 

 

Spnoza Ethics Substance (Spinoza, Ethics, 1673) But if men would give heed to the nature of substance they would doubt less concerning the Proposition that Existence appertains to the nature of substance: rather they would reckon it an axiom above all others, and hold it among common opinions. For then by substance they would understand that which is in itself, and through itself is conceived, or rather that whose knowledge does not depend on the knowledge of any other thing.

Bradley - We may agree, perhaps, to understand by Metaphysics an attempt to know reality as against mere appearance, or the study of first principles or ultimate truths, or again the effort to comprehend the universe, not simply piecemeal or by fragments, but somehow as a whole.(Bradley, 1846-1924) We may agree, perhaps, to understand by Metaphysics an attempt to know reality as against mere appearance, or the study of first principles or ultimate truths, or again the effort to comprehend the universe, not simply piecemeal or by fragments, but somehow as a whole.

 

Most importantly, Aristotle, Spinoza, and Leibniz were correct to realise that One Substance must Exist, Infinite and Eternal, and have Properties that account for Matter's Interconnected Activity / Motion.

Aristotle Metaphysics Truth Reality(Aristotle, Metaphysics, 340BC) It is the principles and causes of the things that are that we are seeking, and clearly it is their principles and causes just as things that are. And here we will have the science to study that which is just as that which is, both in its essence and in the properties which, just as a thing that is, it has.
It is impossible that the primary existent, being eternal, should be destroyed.
The entire preoccupation of the physicist is with things that contain within themselves a principle of movement and rest. . that among entities there must be some cause which moves and combines things. And to seek for this is to seek for the second kind of principle, as we would say, that from which comes the beginning of the change.
Unless the further factor is active, there will still be no movement. There must then be a principle of such a kind that its substance is activity.

Leibniz Reality One Substance Monad Space (Gottfried Leibniz, 1670) Reality cannot be found except in One single source, because of the interconnection of all things with one another. I maintain also that substances, whether material or immaterial, cannot be conceived in their bare essence without any activity, activity being of the essence of substance in general. ... In conclusion, nothing should be taken as certain without foundations; it is therefore those who manufacture entities and substances without genuine unity to prove that there is more to reality than I have just said; and I am waiting for the notion of a substance, or of an entity, which successfully comprehends all these things; after which parts and perhaps even dreams will be able one day to lay claim to reality.

Now there is only One thing that is common to the many things, Space. Thus if One Substance exists it must be Space, simply because there is only One Space, whereas there are Many material things existing in Space. As the philosopher Brentano correctly realised;

The judgment, for instance, that there is a three-dimensional (spatial) world is, Brentano believed, so widely confirmed as to be infinitely more likely than any of its alternatives. (Urmson, 1991)

Kant realised this unique importance of Space as being a priori (necessary) for us to be able to experience and sense the world around us, and that Metaphysics (and thus Physics) depends upon this a priori knowledge (because it is first necessary for us to experience the world, and hence certain). Thus he is profoundly CORRECT when he writes;

Kant a priori Metaphysics, Physics, Truth, Reality(Kant, 1781) Natural science (physics) contains in itself synthetical judgments a priori, as principles. . Space then is a necessary representation a priori, which serves for the foundation of all external intuitions. We never can imagine or make a representation to ourselves of the non-existence of space. Space is a representation a priori, which necessarily supplies the basis for external appearances.
That metaphysics has hitherto remained in so vacillating a state of uncertainty and contradiction, is only to be attributed to the fact, that this great problem, and perhaps even the difference between analytical and synthetical judgments, did not sooner suggest itself to philosophers. Upon the solution of this problem, or upon sufficient proof of the impossibility of synthetical knowledge a priori, depends the existence or downfall of metaphysics.

Unfortunately for Human Knowledge Kant was profoundly INCORRECT when he assumed Time as the second a priori existent, rather than the PROPERTIES of Space as a Wave Medium for Wave Motion. i.e. Because Kant could not unite Space and Time back to One common connected thing, and as there could not be two separate things existing Infinitely, thus he assumed that both Space and Time must still somehow be limited and separate from what truly exists, thus they must both still be merely ideas / representations of the world! And the consequences of this error have caused (and continue to cause) much confusion and absurdity for Human knowledge. (Please read the following quotes from Kant carefully.)

Kant a priori Metaphysics, Physics, Truth, Reality(Kant, 1781) That space and time are only forms of sensible intuition, and hence are only conditions of the existence of things as appearances; that, moreover, we have no concepts of the understanding, and, consequently, no elements for knowing things, except in so far as a corresponding intuition can be given to these concepts; that, accordingly, we can have no knowledge of an object, as a thing in itself, but only as an object of sensible intuition, that is, as appearance - all this is proved in the Analytical part of the Critique; and from this the limitation of all possible speculative knowledge to the mere objects of experience, follows as a necessary result.
Time is not an empirical concept. For neither co-existence nor succession would be perceived by us, if the representation of time did not exist as a foundation a priori.
Time is a necessary representation, lying at the foundation of all our intuitions. With regard to appearances in general, we cannot think away time from them, and represent them to ourselves as out of and unconnected with time. Here I shall add that the concept of change, and with it the concept of motion, as change of place, is possible only through and in the representation of time. .... even that of motion, which unites in itself both elements (Space and Time), presuppose something empirical. Motion, for example, presupposes the perception of something movable. But space considered in itself contains nothing movable; consequently motion must be something which is found in space only through experience -in other words, is an empirical datum. (Kant, 1781)

His error is very important and bears repeating: But space considered in itself contains nothing movable; consequently motion ... is an empirical datum.
The correct answer is to realise that Space in itself must have PROPERTIES, thus this is a clear error of Kant's. i.e. It is simply wrong to consider Space on its own, we must always consider Space AND its Properties together!
And so we use two of the greatest Metaphysicists, Aristotle and Leibniz, to solve this fundamental and profound error of Kant. Let us then also repeat their comments;

Aristotle Metaphysics Truth Reality(Aristotle, Metaphysics, 340BC) And here we will have the science to study that which is just as that which is, both in its essence and in the properties which, just as a thing that is, it has. ... there is some other cause of the change. And to seek for this is to seek for the second kind of principle, as we would say, that from which comes the beginning of the change.
Unless the further factor is active, there will still be no movement. There must then be a principle of such a kind that its substance is activity.

Leibniz Reality One Substance Monad Space (Leibniz, 1670) I maintain also that substances, whether material or immaterial, cannot be conceived in their bare essence without any activity, activity being of the essence of substance in general. (Leibniz, 1670)

 

The solution is to realise that Space has the properties of a Wave-Medium, and thus contains Wave-Motions, that Space itself is moving / vibrating. (Kant made the common mistake of only considering Motion of Matter 'particles' and not Motion of Space itself!)
Thus we can now understand Kant's error in assuming Space and Time as a priori rather than Space and its Properties, which are a priori. i.e. Space is a Substance with the Properties of a Wave Medium and contains Spherical Wave-Motions that give rise to matter and its activity/motion. Thus Space and Motion are a priori, and Motion is the cause of both Matter and Time. (Time is merely an idea, a Human representation of the fact that all things are in Motion in Space, thus Kant was partly correct)
From this new Metaphysics of Space and Motion we find that the solutions to many other subjects of Knowledge / Science become simple, obvious, necessary and certain! This is simply due to the fundamental nature of Metaphysics as the foundation for describing Reality, and thus as the foundation for all Sciences.

For example, we can now understand how Leibniz's Monadology was largely correct, Matter and Universe are One and contain Motion / Activity. (Monas is a Greek word which signifies unity or that which is one.) Thus we now realise that Leibniz's Monad is simply a Spherical Wave Motion of Space that determines the size of our finite spherical Universe within an Infinite Space, and thus interacts with ALL other matter within our Universe.

Leibniz Reality One Substance Monad Space (Leibniz, 1670)I do not conceive of any reality at all as without genuine unity. I also take it as granted that every created thing, and consequently the created monad also, is subject to change, and indeed that this change is continual in each one. ... It follows from what we have just said, that the natural changes of monads come from an internal principle, since an external cause would be unable to influence their inner being. .. Now this connection or adaptation of all created things with each, and of each with all the rest, means that each simple substance has relations which express all the others, and that consequently it is a perpetual living mirror of the universe. In a confused way they all go towards the infinite, or towards the whole; but they are limited and distinguished from one another by the degrees of their distinct perceptions. ... each created monad represents the whole universe.

Though ancient Greek philosophy also realised that all things were in perpetual flux / change (e.g. Protagoras, Heraclitus), Aristotle was the first philosopher to truly appreciate the importance of Motion, and to realise the connection between both Motion and Time, and Motion and Matter. (An obvious connection that must be explained, as matter certainly moves about in Space, and we use this Motion of Matter to determine the Time - just think of a clock.)

Aristotle Metaphysics Truth Reality(Aristotle, Metaphysics, 340BC) Motion must always have been in existence, and the same can be said for time itself, since it is not even possible for there to be an earlier and a later if time does not exist. ... Movement, then, is also continuous in the way in which time is - indeed time is either identical to movement or is some affection of it.
... there being two causes of which we have defined in the Physics, they seem to have a glimpse of them, that of matter and that from which the motion comes, indistinctly though, and in no way clearly.


Introduction: Space and Motion - Uniting Aristotle Spinoza Leibniz Kant - Space Existing explains Common Experience of Space - Ancient Indian & Greek Philosophy / Dynamic Unity of Reality - Top of Page

On Space as the Most Simple Foundation for Science

'The subtlety of the concept of space was enhanced by the discovery that there exist no completely rigid bodies. All bodies are elastically deformable.' (Albert Einstein)

Science has two sources of knowledge;

i) Logic deduced from principles - theories. (a priori knowledge)
ii) Empirical knowledge from our senses - observation and experiment. (a posteriori knowledge)

The aim is for logic to be in harmony with our senses (the theory deduces what we observe). This is well accepted. Now if we consider just the empirical source of knowledge, it is universally agreed that it is founded on the observation of matter in Space, thus without this experience of Space it is impossible to have Science. As Kant writes;

Natural science (physics) contains in itself synthetical judgments a priori, as principles. … Space then is a necessary representation a priori, which serves for the foundation of all external intuitions. (Immanuel Kant, Critique of Pure Reason, 1781)

However it is a little more complex than just saying that therefore Space must be the One thing that exists. All we can say thus far is that we experience / imagine Space (which does not necessarily mean that Space exists, as Kant argued that Space was merely a representation of the mind!). There are in fact 5 possible explanations of our common experience of Space. Most importantly though, only the first option below (that Space exists) abides by this simplicity rule of One thing existing (dynamic unity of reality) that also satisfies the metaphysical rule that matter must be necessarily interconnected by one common thing.

Space (Physical Space Exists and Causes our Sense of Space)

This is the most simple and obvious explanation, and is the foundation of the Wave Structure of Matter, that Space exists with the properties of a Wave Medium for Spherical Standing Waves that form Matter. This is consistent with Aristotle's conception of Metaphysics.

The first philosophy (Metaphysics) is universal and is exclusively concerned with primary substance. ... And here we will have the science to study that which is, both in its essence and in the properties which, just as a thing that is, it has. ... That among entities there must be some cause which moves and combines things. ... There must then be a principle of such a kind that its substance is activity." (Aristotle, Metaphysics, 340BC)

Matter (Matter Interactions Causes our Sense of 'Relative' Space)

This is the path that Leibniz explored (his Monadology) and more recently Albert Einstein's theory of relativity (strongly influenced by Leibniz and Ernst Mach). This path is understandable as it is empirically founded on the fact that we only observe motion of matter relative to other matter (not to an absolute Space). Further, it followed on from the work of Newton (particles and forces in Space and Time, action-at-a-distance); then later Faraday, Maxwell, Lorentz, (particles generating electric and magnetic fields in Space (Aether), light as em waves); and finally Einstein's attempt at a pure field theory of matter (by rejecting the 'particle' concept). As Einstein writes;

When forced to summarize the general theory of relativity in one sentence: Time and space and gravitation have no separate existence from matter. (Albert Einstein, Ideas and Opinions, 1954)

Physical objects are not in space, but these objects are spatially extended (as fields). In this way the concept 'empty space' loses its meaning. ... The field thus becomes an irreducible element of physical description, irreducible in the same sense as the concept of matter (particles) in the theory of Newton. ... The physical reality of space is represented by a field whose components are continuous functions of four independent variables - the co-ordinates of space and time. Since the theory of general relativity implies the representation of physical reality by a continuous field, the concept of particles or material points cannot play a fundamental part, nor can the concept of motion. The particle can only appear as a limited region in space in which the field strength or the energy density are particularly high. (Albert Einstein, Metaphysics of Relativity, 1950)

Einstein took the path of Leibniz and described reality in terms of relative motion of matter to other matter (Many Things) rather than relative to Absolute Space (One Thing). This error causes us many problems.

(Describing motion relative to all other matter in the universe) overcomes a deficiency in the foundations of mechanics which had already been noticed by Newton and was criticised by Leibniz and, two centuries later, by Mach: inertia resists acceleration, but acceleration relative to what? Within the frame of classical mechanics the only answer is: inertia resists acceleration relative to space. This is a physical property of space - space acts on objects, but objects do not act on space. Such is probably the deeper meaning of Newton's assertion spatium est absolutum (space is absolute). But the idea disturbed some, in particular Leibniz, who did not ascribe an independent existence to space but considered it merely a property of 'things' (objects). (Albert Einstein, 1954)

As Ernst Mach insistently pointed out, the Newtonian theory is unsatisfactory in the following respect: if one considers motion from the purely descriptive, not from the causal, point of view, it only exists as relative motion of things with respect to one another.
It compelled Newton to invent a physical space in relation to which acceleration was supposed to exist. This introduction ad hoc of the concept of absolute space, while logically unexceptionable, nevertheless seems unsatisfactory. (Albert Einstein, 1954)

Descartes argued somewhat on these lines: space is identical with extension, but extension is connected with bodies; thus there is no space without bodies and hence no empty space…. It appears to me, therefore, that the formation of the concept of the material object must precede our concepts of time and space. (Albert Einstein, 1954)

Mach, in the nineteenth century, was the only one who thought seriously of the elimination of the concept of space, in that he sought to replace it by the notion of the totality of the instantaneous distances between all material points. (He made this attempt in order to arrive at a satisfactory understanding of inertia.) (Einstein, 1954)

Because we only observe the motion of matter relative to all the other matter in the universe, thus Einstein thought that matter, rather than Space, must be the central perspective for representing Reality. Thus Einstein's Relativity is empirically (a posteriori) founded from observing the motion of matter relative to other matter. The Metaphysics of Space and Motion is founded on the a priori fact that Space is first necessary for matter to be able to exist and move about. Einstein is empirically correct, and at the same time this was his error because Metaphysics (and thus Reality) is not founded on empirical observations. In reality there is no motion of matter, there is only the spherical wave-motion of Space, and the changing location of the wave-center gives the 'illusion' of the motion of matter 'particles'. (Thus Einstein's Relativity is founded on an illusion that matter moves, when it is Space which is moving / vibrating.)
Thus Newton was ultimately correct in his metaphysical realisation of absolute motion relative to absolute space (though Newton made the error of adding 'time', 'particles' and thus instantly acting 'forces' to connect the particles);

And so instead of absolute places and motions, we use relative ones; and that without any inconvenience in common affairs; but in Philosophical disquisitions, we ought to abstract from our senses, and consider things themselves, distinct from what are only sensible measures of them. (Newton, 1687)

Further, Lorentz's assumption of an Absolute Space is the foundation for the Lorentz transformations and thus for Einstein's Relativity.

I cannot but regard the ether, which can be the seat of an electromagnetic field with its energy and its vibrations, as endowed with a certain degree of substantiality, however different it may be from all ordinary matter. (Lorentz, The Theory of the Electron, 1906)

Einstein choose to ignore Space / Aether and work with relative motions of matter to other matter, with matter being represented by spherical fields.

The electromagnetic fields are not states of a medium, and are not bound down to any bearer, but they are independent realities which are not reducible to anything else. (Albert Einstein, Leiden Lecture, 1920)

In other words, is there an ether which carries the field; the ether being considered in the undulatory state, for example, when it carries light waves? The question has a natural answer: Because one cannot dispense with the field concept, it is preferable not to introduce in addition a carrier with hypothetical properties. (Albert Einstein, 1950)

Once we realise that the particle and the continuous electromagnetic field it generates are both merely ideas, human approximations to reality, then we solve these problems. We return to Lorentz's foundation of One thing Space, and its properties as a wave medium (vibrations) and replace the spherical particle & field with the spherical wave Motion of Space. The idea of the field theory of matter misled Einstein, and yet Einstein also realised that there must somehow be a Space that interconnects matter.

Recapitulating, we may say that according to the general theory of relativity space is endowed with physical qualities; in this sense, therefore, there exists an ether. According to the general theory of relativity space without ether is unthinkable; for in such space there not only would be no propagation of light, but also no possibility of existence for standards of space and time (measuring-rods and clocks), nor therefore any space-time intervals in the physical sense. But this ether may not be thought of as endowed with the quality characteristic of ponderable media, as consisting of parts which may be tracked through time. The idea of motion may not be applied to it. (Albert Einstein, Leiden Lecture, 1920)

However, matter is many things, not one thing, so it is not the most simple solution. And as history shows Einstein's lifetime attempt to construct a continuous field theory of matter doesn't work, as it does not explain the discrete aspects of light and matter discovered by Quantum Theory.

All these fifty years of conscious brooding have brought me no nearer to the answer to the question, 'What are light quanta?' Nowadays every Tom, Dick and Harry thinks he knows it, but he is mistaken. … I consider it quite possible that physics cannot be based on the field concept, i.e., on continuous structures. In that case, nothing remains of my entire castle in the air, gravitation theory included, [and of] the rest of modern physics. (Albert Einstein, 1954)

The great stumbling block for the field theory lies in the conception of the atomic structure of matter and energy. For the theory is fundamentally non-atomic in so far as it operates exclusively with continuous functions of space, in contrast to classical mechanics whose most important element, the material point, in itself does justice to the atomic structure of matter. (Albert Einstein, 1954)

The special and general theories of relativity, which, though based entirely on ideas connected with the field-theory, have so far been unable to avoid the independent introduction of material points, … the continuous field thus appeared side by side with the material point as the representative of physical reality. This dualism remains even today disturbing as it must be to every orderly mind. (Einstein, 1954)

Idealism (Mind Causes our Sense of Space)

Mind exists and causes our ideas of Space (e.g. Berkeley, Kant).
Again, this is not the most simple as there are many different minds (as there are people), yet we all have a common experience of Space. And there is no explanation of how minds are connected and what causes them to experience this common Space (we all see the same sun and moon existing in a common Space). The historical answer to this problem of the mind (how our minds experience the same external perceptions) is to appeal to a 'universal mind' or 'God' to cause and connect our minds. But as Hume rightly says,

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

Religion (God Causes our Sense of Space)

God causes all things, thus god causes us and our ideas of Space. Again, there is no explanation of how this occurs, (and to philosophers of language God is really just a word that humans invented to explain things they do not understand - it is certainly no foundation for Science).

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

Our Minds Cannot Imagine / Understand Physical Reality

Something beyond our ability to understand / imagine and convey with language exists and causes our experience of Space (Nietzsche, Ayer, Wittgenstein, Heisenberg, Bohr, Popper, Kuhn, etc). This is possible and is the current postmodern view (no absolute truth, all ideas are approximate only, ultimately just cultural constructions which are evolving in the direction of greater simplicity). However, it seems obvious that we should first explore Science carefully before consigning it to the rubbish heap of romantic illusions!

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, On Quantum Physics, 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.
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. (Werner Heisenberg, on Quantum Mechanics, 1930)

Conclusion

Before we give up on Science and assume that we cannot describe physical reality, it is sensible to first carefully examine the metaphysical foundations of Science and see if they are the most simple possible (Occam's razor). When we do this we find that there is an obvious and sensible solution. Space exists and matter is a wave structure of Space. Then it is just a matter of scientific method to show that this most simple foundation does correctly deduce what we observe from observation / experiment, while also explaining and solving numerous problems from the history of philosophy and metaphysics. I hope this essay will motivate you to think about this! Geoff Haselhurst


Introduction: Space and Motion - Uniting Aristotle Spinoza Leibniz Kant - Space Existing explains Common Experience of Space - Ancient Indian & Greek Philosophy / Dynamic Unity of Reality - Top of Page

The Metaphysics of Space and Motion explains the Foundations of Ancient Greek and Indian Philosophy (Dynamic Unity / All is One and Active/Flux)

Greek Philosophy originated from the correct realisation that there must be One thing that is common to, and connects, the Many things.

Heraclitus - All things come out of the one, and the one out of all things.(Heraclitus ~ 500BC) All things come out of the One and the One out of all things. ... I see nothing but Becoming. Be not deceived! It is the fault of your limited outlook and not the fault of the essence of things if you believe that you see firm land anywhere in the ocean of Becoming and Passing. You need names for things, just as if they had a rigid permanence, but the very river in which you bathe a second time is no longer the same one which you entered before.

Nietzsche - That which drove him (Thales) to this generalization was a metaphysical dogma, which had its origin in a mystic intuition and which together with the ever renewed endeavours to express it better, we find in all philosophies - the proposition: everything is one!(Friedrich Nietzsche, The Greeks, 1880) Greek philosophy seems to begin with a preposterous fancy, with the proposition (of Thales) that water is the origin and mother-womb of all things. Is it really necessary to stop there and become serious? Yes, and for three reasons: firstly, because the proposition does enunciate something about the origin of things; secondly, because it does so without figure and fable; thirdly and lastly, because it contained, although only in the chrysalis state, the idea :everything is one. ... That which drove him (Thales) to this generalization was a metaphysical dogma, which had its origin in a mystic intuition and which together with the ever renewed endeavours to express it better, we find in all philosophies - the proposition: everything is one!

Likewise Indian Philosophy (which pre-dates and likely founds Greek Philosophy) realised this Oneness which they called Brahman, and also appreciated the importance of Motion (dynamic, activity).

Capra - Modern physics then, pictures matter not at all as passive and inert, but being in a continuous dancing and vibrating motion whose rhythmic patterns are determined by the molecular, atomic and nuclear structures. This is also the way in which the Eastern mystics see the material world. They all emphasise that the universe has to be grasped dynamically, as it moves, vibrates and dances; that nature is not a static but dynamic equilibrium.(Fritjof Capra, 1972) In Indian philosophy, the main terms used by Hindus and Buddhists have dynamic connotations. The word Brahman is derived from the Sanskrit root brih . to grow - and thus suggests a reality which is dynamic and alive. In the words of S. Radhakrishnan,
The word Brahman means growth and is suggestive of life, motion, progress.
The Upanishads refer to Brahman as 'this uniformed, immortal, moving', thus associating it with motion even though it transcends all forms. The Rig Veda uses another term to express the dynamic character of the universe, the term Rita. This word comes from the root ri- to move; its original meaning in the Rig Veda being 'the course of all things', 'the order of nature'.
The central aim of Eastern mysticism is to experience all the phenomena in the world as manifestations of the same ultimate reality. This reality is seen as the essence of the universe, underlying and unifying the multitude of things and events we observe. The Hindus call it Brahman, The Buddhists Dharmakaya (The Body of Being) or Tathata (Suchness) and the Taoists Tao; each affirming that it transcends our intellectual concepts and defies further explanation. This ultimate essence, however, cannot be separated from its multiple manifestations. It is central to the very nature to manifest itself in myriad forms which come into being and disintegrate, transforming themselves into one another without end. In its phenomenal aspect, the cosmic One is thus intrinsically dynamic, and the apprehension of its dynamic nature is basic to all schools of Eastern mysticism.
Modern physics then, pictures matter not at all as passive and inert, but being in a continuous dancing and vibrating motion whose rhythmic patterns are determined by the molecular, atomic and nuclear structures. This is also the way in which the Eastern mystics see the material world. They all emphasise that the universe has to be grasped dynamically, as it moves, vibrates and dances; that nature is not a static but dynamic equilibrium.

Their error was to believe that One thing could never be understood with human conceptual knowledge, which requires relationships between two or more things;

The central difficulty is known as the problem of the one and the many which, in the terms in which it presented itself to Badarayana, is as follows; Brahman (the absolute) is eternal, immutable and perfect (lacking nothing): How can that which is eternal, immutable and perfect be related to what is temporal, mutable and imperfect, i.e. the everyday world of human experience, the samsara? (Badarayana)
The problem of the one and the many in metaphysics and theology is insoluble: The history of philosophy in India as well as in Europe has been one long illustration of the inability of the human mind to solve the mystery of the relation of God to the world. We have the universe of individuals which is not self-sufficient and in some sense rests on Brahman, but the exact nature of the relation between them is a mystery. (Radhakrishnan)

The next serious philosophical issue involved in Advaitism (Non-dualism) arises in the area of epistemology or the theory of knowledge. All ordinary human experience is conceptual in nature, i.e. is organized under the categories in which we ordinarily think. However, Brahman is said to be predicateless, or, in other words, such that in principle no concepts apply to it: concepts presuppose division, and Brahman is a unity. How, then, is any form of awareness of Brahman possible for human beings?
(Collinson, Fifty Eastern Thinkers, 2000)

But once we know the truth, which comes from true knowledge of Reality, then the solution to this problem becomes simple and obvious (which explains why philosophy is known as the discovery of the obvious!). One thing, Space, exists Infinite and Eternal, the second thing, Motion, as the Wave Motion of Space, is the property of Space, and is necessarily connected to Space as it is Space which is Moving. And once we have this connection between the One thing Space, and the many things, i.e. Matter as the Spherical Wave Motion of Space, then we can in fact form concepts and logic (which require two necessarily connected things, i.e. Matter as the spherical wave Motion of Space.)

Lama Govinda had an exceptional understanding of Indian Philosophy and he was very close to the truth, and thus the solution to this profound problem of the One and the Many, when he wrote;

Govinda - The fundamental element of the cosmos is Space. Space is the all-embracing principle of higher unity. Nothing can exist without Space. Space is the precondition of all that exists, be it material or immaterial form, because we can neither imagine an object nor a being without space. According to ancient Indian tradition the universe reveals itself in two fundamental properties: as Motion, and as that in which motion takes place, namely Space. This Space is called akasa, and is that through which things step into visible appearance, i.e., through which they possess extension or corporeality. (Lama Govinda, 1977) The fundamental element of the cosmos is Space. Space is the all-embracing principle of higher unity. Nothing can exist without Space. Space is the precondition of all that exists, be it material or immaterial form, because we can neither imagine an object nor a being without space. According to ancient Indian tradition the universe reveals itself in two fundamental properties: as Motion, and as that in which motion takes place, namely Space. This Space is called akasa, and is that through which things step into visible appearance, i.e., through which they possess extension or corporeality.
Akasa is derived from the root kas, 'to radiate, to shine', and has therefore the meaning of 'ether', which is conceived as the medium of movement. The principle of movement, however, is prana, the breath of life, the all-powerful, all-pervading rhythm of the universe.

In fact, as we briefly explained at the beginning of this article, the Metaphysics of Space and Motion not only unites and solves the Problem of the One and the Many, but also the Infinite and the Finite, Eternal and the Temporal, Absolute and Relative, Continuous and Discrete, Simple and Complex, Matter and Universe. See:
Metaphysics: Problem of One and the Many - Brief History of Metaphysics and Solutions to the Fundamental Problems of Uniting the; One and the Many, Infinite and the Finite, Eternal and the Temporal, Absolute and Relative, Continuous and Discrete, Simple and Complex, Matter and Universe.

Once we understand these Metaphysical problems by describing how One Substance, Space, Exists and has Properties of a Wave-Medium, this then explains the Necessary Connection between What Exists (matter as spherical waves in Space) and gives rise to our logic (from One Principle), which is necessary and thus certain. Thus we can now apply this logic from the Metaphysics of Space and Motion to explain and solve many of the problems of Human knowledge (such is the profound nature of knowing Reality, the source of Truth and Wisdom).

Further Quotes on Metaphysics, Space, and the Dynamic Unity of Reality

Many philosophers and metaphysicists have written on the Dynamic Unity of Reality, confirming its central place in both Philosophy and Metaphysics (both requiring knowledge of necessary connections, from one thing, to know the cause / truth of things). Below are a number of important quotes on this Unity and Activity of Reality and its relationship to Space (which is one thing that we all commonly experience).

Reality cannot be found except in One single source, because of the interconnection of all things with one another. ... I do not conceive of any reality at all as without genuine unity. ... I maintain also that substances, whether material or immaterial, cannot be conceived in their bare essence without any activity, activity being of the essence of substance in general. (Gottfried Leibniz, Philosophical Writings, 1670)

We may agree, perhaps, to understand by Metaphysics an attempt to know reality as against mere appearance, or the study of first principles or ultimate truths, or again the effort to comprehend the universe, not simply piecemeal or by fragments, but somehow as a whole. (Francis Herbert Bradley, Appearance and Reality, 1893)

The judgement, for instance, that there is a three-dimensional (spatial) world is, Brentano believed, so widely confirmed as to be infinitely more likely than any of its alternatives. (One Hundred Twentieth-Century Philosophers, Brown et al, 1998)

I cannot conceive curved lines of force without the conditions of a physical existence in that intermediate space. (Michael Faraday, 1830)

In speaking of the Energy of the field, however, I wish to be understood literally. All energy is the same as mechanical energy, whether it exists in the form of motion or in that of elasticity, or in any other form. The energy in electromagnetic phenomena is mechanical energy. (James Clerk Maxwell, The Scientific Papers of James Clerk Maxwell [1890], vol. 1, p. 564)

I cannot but regard the ether, which can be the seat of an electromagnetic field with its energy and its vibrations, as endowed with a certain degree of substantiality, however different it may be from all ordinary matter. (Hendrik Lorentz, Theory of the Electron, 1900)

According to the general theory of relativity space without ether is unthinkable; for in such space there not only would be no propagation of light, but also no possibility of existence for standards of space and time. But this ether may not be thought of as endowed with the quality characteristic of matter, as consisting of parts ('particles') which may be tracked through time. (Albert Einstein, 1928, Leiden Lecture)

Physical objects are not in space, but these objects are spatially extended (as fields). In this way the concept 'empty space' loses its meaning. ... The field thus becomes an irreducible element of physical description, irreducible in the same sense as the concept of matter (particles) in the theory of Newton. ... The physical reality of space is represented by a field whose components are continuous functions of four independent variables - the co-ordinates of space and time. Since the theory of general relativity implies the representation of physical reality by a continuous field, the concept of particles or material points cannot play a fundamental part, nor can the concept of motion. The particle can only appear as a limited region in space in which the field strength or the energy density are particularly high. (Albert Einstein, Relativity, 1950)

When forced to summarize the general theory of relativity in one sentence: Time and space and gravitation have no separate existence from matter. (Albert Einstein, Ideas and Opinions, 1954)

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. ... 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. ... I don't like it, and I'm sorry I ever had anything to do with it. (Erwin Schrödinger, Life and Thought, Cambridge U. Press, 1989).

In Indian philosophy, the main terms used by Hindus and Buddhists have dynamic connotations. The word Brahman is derived from the Sanskrit root brih - to grow- and thus suggests a reality which is dynamic and alive. The Upanishads refer to Brahman as 'this unformed, immortal, moving', thus associating it with motion even though it transcends all forms.' The Rig Veda uses another term to express the dynamic character of the universe, the term Rita. This word comes from the root ri- to move. In its phenomenal aspect, the cosmic One is thus intrinsically dynamic, and the apprehension of its dynamic nature is basic to all schools of Eastern mysticism. They all emphasize that the universe has to be grasped dynamically, as it moves, vibrates and dances. ... The Eastern mystics see the universe as an inseparable web, whose interconnections are dynamic and not static. The cosmic web is alive; it moves and grows and changes continually. (Fritjof Capra, The Tao of Physics, 1972.)

The notion that all these fragments is separately existent is evidently an illusion, and this illusion cannot do other than lead to endless conflict and confusion. Indeed, the attempt to live according to the notion that the fragments are really separate is, in essence, what has led to the growing series of extremely urgent crises that is confronting us today. Thus, as is now well known, this way of life has brought about pollution, destruction of the balance of nature, over-population, world-wide economic and political disorder and the creation of an overall environment that is neither physically nor mentally healthy for most of the people who live in it. Individually there has developed a widespread feeling of helplessness and despair, in the face of what seems to be an overwhelming mass of disparate social forces, going beyond the control and even the comprehension of the human beings who are caught up in it. (David Bohm, Wholeness and the Implicate Order, 1980)

Help Humanity

"You must be the change you wish to see in the world."
(Mohandas Gandhi)

Albert Einstein"When forced to summarize the general theory of relativity in one sentence: Time and space and gravitation have no separate existence from matter. ... Physical objects are not in space, but these objects are spatially extended. In this way the concept 'empty space' loses its meaning. ... The particle can only appear as a limited region in space in which the field strength or the energy density are particularly high. ...
The free, unhampered exchange of ideas and scientific conclusions is necessary for the sound development of science, as it is in all spheres of cultural life. ... We must not conceal from ourselves that no improvement in the present depressing situation is possible without a severe struggle; for the handful of those who are really determined to do something is minute in comparison with the mass of the lukewarm and the misguided. ...
Humanity is going to need a substantially new way of thinking if it is to survive!" (Albert Einstein)


Biography: Geoffrey Haselhurst: Natural Philosopher. 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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