Summary of Wave Structure of Matter (WSM)

(Heraclitus, 500BC)  All things come out of the One and the One out of all things.Plato (Republic, 380BC ) And those whose hearts are fixed on Reality itself deserve the title of Philosophers(Aristotle, 340BC)  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.Gottfried Leibniz  - Reality cannot be found except in One single source, because of the interconnection of all things with one another. (Kant, 1781) Natural science (physics) contains in itself synthetical judgments <em>a priori</em>, as principles. ... Space then is a necessary representation <em>a priori</em>, which serves for the foundation of all external intuitions.Charles Darwin -  Evolution Truth - Although I am fully convinced of the truth of the views given in this volume I by no means expect to convince experienced naturalists whose minds are stocked with a multitude of facts all viewed, during a long course of years, from a point of view directly opposite to mine. But I look with confidence to the future to young and rising naturalists, who will be able to view both sides of the question with impartiality.(Albert Einstein, 1928, Leiden) 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.Geoffrey Haselhurst - Philosopher of Science, Metaphysics. Philosophy of Science Articles on Truth and Reality - On the Metaphysics of Space and Motion and the Wave Structure of Matter.

Wave Diagrams & Frequently Asked Questions (FAQ)


Hi Everyone,
This is an old page which will be converted into 'Frequently Asked Questions' over time. See the links at the top of page.
Geoff Haselhurst, May, 2008



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

Brief Summary: Wave Structure of Matter (WSM)

The Wave Structure of Matter is a very simple and sensible way of describing reality that clearly corrects a lot of past errors and problems of human knowledge.

Basically summarised, the current science paradigm of representing matter as discrete 'particles' that generate 'fields' in 'space-time', while useful, is only an approximation of reality, and it causes numerous problems because of this. (This is well known, and explains the academic foundations of our postmodern culture of no absolute truths).
To correct these errors it is necessary to reject the 'particle' conception of matter (as Einstein did, see below) and describe matter in terms of Spherical Standing Waves in Space that cause the particle effect at their Wave-Center.

The Metaphysics of Space and Motion and the Wave Structure of Matter is founded on One Principle which describes One Substance, Space, and its Properties as a Wave-Medium. Matter Exists as Spherical Standing Waves in Space.
The discrete 'particle' effect of matter is formed by the Wave-Center of the Spherical Standing Waves.
Time is caused by wave Motion (as spherical wave motions of Space which cause matter's activity and the phenomena of time).
Forces / Fields result from wave interactions of the Spherical In and Out Waves with other matter in the universe which change the location of the Wave-Center (and which we 'see' as a 'force accelerating a particle').

Effectively we are combining the Absolute Space assumed by Newton (1678) with the spherically spatially extended structure of matter as assumed by Albert Einstein in his Theory of Relativity (1905 - 1916) and the scalar wave properties of matter discovered by Schrodinger and de Broglie (foundations of Quantum Theory, 1928).

Two further points are important here to correctly understand these central concepts of the Wave Structure of Matter.

Firstly, Newton's Absolute Space was considered a 'background' reference frame for the motion (and acceleration) of matter 'particles'. Thus in Newton's Space matter did not affect Space (matter was somehow separate as 'particles'). Einstein rejected the 'particle' conception of matter and tried to unite matter and Space (and time, gravity) as one thing, by representing matter as continuous spherical fields. So in Einstein's relativity matter does affect Space, as matter and space are united (i.e. matter is spherically spatially extended and represented as a spherical field).
The Wave Structure of Matter agrees with Einstein, Matter and Space are one and the same thing (there are no 'particles'), and thus matter does affect space and its properties. The central difference is we are describing matter in terms of Spherical Waves in Continuous Space, rather than Einstein's (failed) field theory of matter as Continuous Spherical Fields in Space-Time.

Secondly, and this is mainly to physicists, it is important to recognise that there are two very different types of waves used in physics, the vector electromagnetic waves developed by Maxwell, which describe both a quantity and direction of force, and the Scalar waves of Quantum Theory, which are described by a Wave Amplitude only. The Wave Structure of Matter, which describes matter as Spherical Waves in a physically real Space, requires the use of the Scalar Waves from Quantum Theory (as Physicists would know, there are no spherical solutions for vector electromagnetic waves - which is why Richard Feynman had such problems!)

Unity of Reality

Significantly, we are describing reality from One thing, Space, and its properties as a Wave Medium, rather than from Many things, Matter, and their properties of generating Fields. There are two reasons why this unity of reality is important.

Firstly, Metaphysics is founded on the Principle that the many things we experience must somehow be inter-connected by One thing that causes and connects them. And this is not an abstract academic idea, it is just confirming our experience of the world (look around you and think about how you are connected to these other objects that you see in Space). I have many quotes on this unity of reality (it is the central foundation of both philosophy and metaphysics since the time of Ancient Greek and Indian philosophy) but Leibniz summarises it most concisely.

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

Secondly, and this relates to Science, there is the fundamental principle of simplicity, Ockham's razor, where the theory that describes the most things from the least assumptions is the best theory. And it is clear to anyone who takes the time to consider this, that the Wave Structure of Matter, by being founded on One thing existing, Space, and its wave motions that form matter, is the most simple way of describing reality. The scientific measure of its truth is to then show that it deduces correctly what we observe from observation and experiment, which then takes us to the pioneering work of mathematical physicist Dr Milo Wolff, who has deduced many of the central laws of modern physics from this most simple foundation for the Sciences, the Wave Structure of Matter.

Physics and the Wave Structure of Matter in Space

This short summary is written with Scientists in mind, and explains some of the central ideas of Physics and how they can be better understood from this foundation of the Metaphysics of Space (existing as a continuous Wave-Medium) and the Wave Structure of Matter (WSM).

Modern Physics evolved from Newton's Mechanics, and is still largely founded on the concepts of particles and fields in space and time. Further difficulties arise because both light and matter exhibit a particle / wave duality, and there are two main fields, charge (electromagnetic) and mass (gravitational / inertial). While this is still a little simplistic, it makes the point that we have a number of different concepts without any clear understanding of how they are connected. This causes numerous problems for Human knowledge (and society), as we do not understand the necessary connections between these many things we experience. And as David Hume made clear, without this knowledge of necessary connection between things that exist we can have no causal theory of knowledge, leaving the Sciences founded on Induction from repeated observation which is always uncertain (rather than deduction from metaphysical principles which is certain);

Experience only teaches us, how one event constantly follows another; without instructing us in the secret connexion, which binds them together, and renders them inseparable. (David Hume)

So how do we solve these problems? I think the simplest way to explain this is to list these central concepts of physics, show which path Albert Einstein took to try and unite them from a common foundation (which he failed to do), and then demonstrate from the most simple foundation (founded on One thing Space existing as a Wave Medium) how we can finally unite these concepts in a meaningful way that describes reality without paradox or contradiction. Now I know that most of you will be very skeptical of such a big claim, but the solution is pretty simple and obvious once known so I hope you will persevere (and it is concise / short!).

Central Concepts of Modern Physics

Newton's Mechanics - Space, Time, Matter as Particles with 'Mass', Force = Mass by Acceleration.
Continuous Electromagnetic Field Theory (Faraday, Maxwell, Lorentz, Einstein / Relativity) - Matter as Particles with 'Charge', Continuous Spherical Electromagnetic Fields, Light as Vector Electromagnetic Waves, Gravitational Fields (local theory - all matter interactions limited by velocity of light c)
Discrete Quantum Theory (Planck, Einstein, de Broglie, Schrodinger, Born) - Light as Discrete Particles (Photons), Scalar Waves, Probability Waves, Particle Wave Duality (Light & Matter), Quantum Entanglement (apparently non local theory - appear to be instantaneous matter interactions).

While this is still a little simplistic, you can see how confusing Physics becomes when you have so many concepts, some of which clearly contradict others (e.g. light and matter behave as both particles and waves, discrete particles and continuous fields, local and non local interactions). Albert Einstein attempted to simplify this mess with his 'field theory of matter' where he discarded the 'particle' concept and tried to represent matter as spherical fields in space-time, as he writes;

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, 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)

Now there are a number of Problems with Albert Einstein's Field Theory of Matter, as he was well aware, and which, late in his life, caused him to write to his friend Michael Besso expressing his frustration;

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)

In hindsight it is easier to understand Einstein's error - the clue is that Quantum Theory's discovery of the wave properties of matter did not occur until 1928, whereas Einstein's continuous electromagnetic field foundations were developed from 1905 to 1916 based largely on the ideas of James Clerk Maxwell (Maxwell's Equations, 1870s) and Lorentz's Theory of the Electron (1900). So basically his mistake was to work with fields in space-time (mathematical) rather than real waves in Space (physical), largely because he did not have knowledge of the Wave properties of matter when he developed his Theory of Relativity.

In terms of the Metaphysical foundations of Physics, the central error has been to try and describe reality from the Many material things we experience, matter 'particles'. (i.e. Science, which is empirically founded). And even though Einstein rejected the 'particle', his field theory of matter is still founded on this priority of matter (that matter's field interactions cause the effect of space and time).
However, Metaphysics has known for several thousand years that it is necessary to describe reality from One thing existing to explain matter's interconnection in Space and the Universe. As Aristotle, Leibniz and Bradley write;

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. (Aristotle, 340BC)
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. (Gottfried Leibniz, 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. (Bradley, 1846-1924)

By abiding by this central rule of Metaphysics and describing Reality in Terms of One thing existing, Space, and its Properties as a Wave Medium for Spherical Standing Waves that form Matter, we find a very simple solution to all of the above problems of Physics (again this is a big claim, but this website does explain many of these things). Basically Einstein is correct, Matter is a Spherically Spatially extended structure of Space (there is no 'particle') though most importantly we have simplified Einstein's ideas from;

Matter as Continuous Spherical Fields in Space-Time
Matter as Spherical Waves in Continuous Space.

Significantly, we have now decreased the number of concepts from Einstein's 5 (continuous, spherical, fields, space, time) where there is no clear understanding of how they are connected, down to 4 concepts (spherical, waves, continuous, space) where we can clearly connect these four things back to One thing existing, Space, and its Properties as a Wave Medium for Spherical Waves that form matter. And after you have studied philosophy and metaphysics for a while, you come to realise that this solution to the most central and profound of all problems, the Problem of the One and the Many, of how the many things are caused and connected by the One thing then enables you to explain and solve numerous other problems that this lack of knowledge of necessary connection caused.

And from this dynamic unity of reality it is quite simple to show that:
The discrete 'particle' effect of matter is caused by the Wave-Center of the Spherical Standing Waves (the diagram shows that this is an obvious solution to the particle / wave duality of matter!).
The discrete 'particle' effect of light is caused by discrete Standing Wave Interactions / Resonant Coupling.
Time is caused by Wave Motion (as spherical wave motions of Space which cause matter's activity and the phenomena of time).
Forces / Fields are caused by wave interactions of the Spherical In and Out Waves with other matter in the universe which change the location of the Wave-Center (and which we 'see' as a 'force accelerating a particle').
Quantum Entanglement is likewise caused by the Interaction between the In and Out-Waves and all the other matter in the universe, thus matter is always subtly connected to other matter in the universe (i.e. matter is large not small, we only see the Wave-Center and have been deceived by its 'particle' effect). However, Einstein's 'Locality' is correct, all matter to matter interactions are limited by the velocity of Waves in Space.

Of most significance (the real beauty of this solution) is that not only does it solve the problems of Albert Einstein's Theory of Relativity, but it also solves the basic problems of Quantum Physics (Quantum Theory / Wave Mechanics (founded on Wave Equations) and Cosmology (uniting finite matter & universe with infinite eternal space - The Big Bang Theory being founded on a basic error). See below for more details.

Quantum Physics (Quantum Theory / Wave Mechanics) Summary

Quantum Physics (Quantum Theory / Wave Mechanics) - From 1900 to 1930 there was a revolution in the foundations of our understanding of light and matter interactions. In 1900 Max Planck showed that light energy must be emitted and absorbed in discrete 'quanta' to explain blackbody radiation. Then in 1905 Albert Einstein showed that the energy E of light is determined by its frequency f, where E=hf. Finally, in the mid 1920s, Louis de Broglie and Erwin Schrodinger introduced the concept of Standing Waves to explain these discrete frequency and energy states of light and matter (standing waves only exist at discrete frequencies and thus energy states). So it is clear that Waves are central to Quantum Physics and our understanding of the structure and discrete energy states of both Light and Matter (which explains why Quantum Theory is also called Quantum Wave Mechanics). This is only a very simplistic summary (the probability / non-locality problems have not addressed), but it is enough to start with, the above pages provide more detailed explanations of these further 'strange' aspects of Quantum Physics.

What I find strange though, is that while the discrete energy states of light and matter were calculated using standing wave equations, only recently (Wolff 1986, Haselhurst 1997) has there been any effort to consider a pure Wave Structure of Matter. i.e. To discard the discrete 'particle' concept and explain the 'particle' properties of light and matter in terms of spherical standing waves and their interactions (which only occur at discrete frequencies f which then explain the discrete energy quanta E where E=hf). When we do this we find very obvious and simple solutions to many of these Quantum Physics problems.

Basically it seems that this 'strangeness' of quantum theory has been caused by the continuing assumption of the discrete 'particle' concept for both light and matter, and thus the resulting paradox of the 'Particle / Wave' duality. This has contributed to our current postmodern world view that it is impossible for us to ever correctly understand and describe physical reality (Bohr, Heisenberg). Thus a solution to these problems, founded on this new paradigm of the Metaphysics of Space (existing as a continuous Wave Medium) and the Wave Structure of Matter is clearly a significant discovery.

Cosmology Summary

Cosmology - The Wolff-Haselhurst Cosmology explains a Perpetual Finite Spherical Universe within an Infinite Eternal Space. The Spherical Standing waves determines the size of our finite spherical universe within an infinite Space (Matter is large not small, we only 'see' the Wave-Center / 'particle' effect which has greatly confused physics). Huygens' Principle explains how other matter's out waves combine to form our matter's spherical In-Waves, which then deduces both Mach's Principle and the redshift with distance (without assuming Doppler effect due to an expanding universe / Big Bang). This also explains how matter interacts with all other matter in the universe (why we can see stars) as matter is the size of the universe, but we only 'see' the high wave amplitude wave-centers / 'particles'.

Metaphysics Summary
On the Metaphysics of Space and Motion and the Wave Structure of Matter (WSM)

By describing Reality from One Thing (Space) existing with the Properties of a Wave-Medium, we find that we can explain and solve many of the fundamental problems of Metaphysics (and thus Philosophy, Physics and Theology).
By realising that Matter is formed from Spherical Standing Waves in Space (rather than discrete particles & forces in Space-Time) we connect the many things (Matter, Time and Forces), back to One thing, Space and its Wave Motions. It is this wave motion of Space that causes matter's activity and the phenomena of Time. This solves the fundamental Problem of the One and the Many by moving from the Metaphysics of Space and Time (founded on four separate things) to the Metaphysics of Space and Motion (founded on One Thing, Space).
From this new metaphysical foundation and language for describing Reality (which is in fact the most simple possible scientific theory as it is founded on One Thing) we can then understand and explain the foundations of Absolute Truth, i.e. Necessary Connection, Logic, Reason, and Certainty, which then explain and solve many problems of Human Knowledge very simply and sensibly (see articles below).
Founded on Ideas of Heraclitus, Plato, Aristotle, Descartes, Newton, Leibniz, Spinoza, Huygens, Berkeley, Hume, Kant, Einstein, Planck, Schrodinger, de Broglie, Feynman, Wolff, Haselhurst.

Concluding Remarks

Clearly, if this knowledge of the Wave Structure of Matter is correct, then it is very important to Humanity, and has the power to solve many of our problems, both in the spheres of human knowledge, and how we are to live on Earth (without destroying ourselves and the Nature which created us and upon which we depend). As I see it, the world needs our help, and this help must be founded on the Truth, not just our good intentions, if it is to actually work and make things better.
In a busy world I urge people to take the time to read and think about the Wave Structure of Matter. Truth and Reality are not only fascinating subjects, they describe what we really are as Humans, how we have evolved to exist as matter in this Space of the universe, and thus offer great wisdom as to how we should live here on our fragile and most amazing little planet, our dear Earth and its wonderful diversity of life.

Geoff Haselhurst, Email

Frequently Asked Questions (FAQs)
on the Wave Structure of Matter (WSM)

1. What is a spherical standing wave?

A wave is a disturbance of a medium - an oscillation between 2 energy states. In reality there is just one medium, space. It is a wave medium, the wave oscillates between kinetic / motion energy and elastic / potential energy. This is why matter and energy are equivalent. A standing wave is formed from two waves of the same wavelength travelling in opposite directions. For matter we require a spherical wave (matter is spherical). Thus the spherical wave must flow through the wave center 'particle' and interact with the in wave from the other side. This is true in all directions about the wave center and forms a spherical standing wave around the wave center 'particle'.

2. If everything is a wave, why can’t my body walk through a wall without damaging the wall or myself?

The wave amplitude at the wave center is very high, and this causes the wave velocity to be higher. Thus when you get two wave centers near one another then the wave interactions become significant and cause the in waves of each wave center to travel faster through the other wave center. This causes the wave centers to re-position away from one another (charge - like charges repel).

3. How do waves form solid bodies?


4. How do you explain the

How do waves form a particle?


What is the Wave Structure of Matter (WSM)?

What is the history of the Wave Structure of Matter?

How is the Wave Structure of Matter different from other science theories?

Why is the Wave Structure of Matter the most simple science theory for describing Physical Reality?

What does the Wave Structure of Matter explain?

How do we know the Wave Structure of Matter is true?

Why is the Wave Structure of Matter important?


How does the Wave Structure of Matter explain the human mind?

How does the Wave Structure of Matter explain the problems of Quantum Theory?


What does WSM say about the Big Bang theory?

WSM is founded on only one substance existing, space. This space is a wave medium and has waves flowing through it (vibrating space if you like). describes an infinite eternal system of waves in space. Nothing created it (which is illogical), space and its wave motions have always existed. The big bang is a 'particle' concept based upon an incorrect interpretation of the redshift with distance. See Cosmology pages.

Where do the In-Waves come from?


Albert Einstein's Theory Relativity







Evolution of Life


Theology God Religion Spirituality



Definitions: The Wave Structure of Matter (WSM)










Scalar Waves:


Spherical Standing Waves:

Spherical In Wave:

Spherical Out Wave:



Vector Waves:


Wave Amplitude:

Wave Center:

mass-energy density:

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Biography: Geoffrey Haselhurst, Philosopher of Science, Theoretical Physics, Metaphysics, Evolution. Our world is in great trouble due to human behaviour founded on myths and customs that are causing the destruction of Nature and climate change. 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.

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