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

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"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)

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Cosmology
Uniting Space, Time, Matter, Motion & Universe

From the Metaphysics of Space and Time
(Particles & Continous Spherical Fields in Space-Time)
To the Metaphysics of Space and Motion
(Matter as Spherical Waves in Continuous 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. (Lama Govinda, 1977)

(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.

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General Introduction

Hello, and thanks for visiting our website. This page discusses the Metaphysics of Space and (wave) Motion which simplifies and unites the current paradigm of the Metaphysics of Space and Time (which further requires 'particles' and fields'). We also have a few people who are interested in helping create better wave diagrams that will make these (rather academic) concepts more visual and easier to understand. The current wave diagram page is at;

https://www.spaceandmotion.com/science-physics-wsm-wave-diagrams.htm

However, it is very basic and is there more as a way of encouraging those with better skills to create better diagrams (though it is still useful to help visualise certain aspects of the Wave Structure of Matter). Hope you find this new way of thinking about the world both interesting and useful.
Cheers,
Geoff Haselhurst

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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)

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Uniting Aristotle, Leibniz, and Spinoza to Explain and 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;

(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, 340BC) The first Science (Metaphysics) is universal and is exclusively concerned with primary 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, 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, 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.

(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, 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, 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, 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, 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, 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, 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.

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The Metaphysics of Space and Motion explains the Foundations of Ancient Greek and Indian Philosophy (Dynamic Unity of Reality/ All is One and Active/Flux / Unification of Space, Time, Matter, Motion & Universe)

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

(Heraclitus ~ 500BC) All things come out of the one, and the one out of all things.

(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).

(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;

(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 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).

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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Human Health Nutrition Diet Medicine Drugs	Education On Teaching Truth & Reality	Politics Utopia True Democracy Political Science

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