From Mystical to Axiomatic Foundations of Maths / Mathematical Physics

Evolutionary philosophy tells us that life evolved from a state of ignorance.

Humans therefore had a tendency to form false beliefs about things which
they could not possibly have enough knowledge to logically explain. Mathematics
is not immune from this history of belief and myth.

Mathematics first gained a foothold in western thought with Greek culture
at the time of Pythagoras (about 530 BC).

Pythagoras, .. was intellectually one of the most important men that ever lived, both when he was wise, and when he was unwise. Mathematics, in the sense of demonstrative deductive argument, begins with him, and in him is intimately connected with a peculiar form of mysticism. The influence of mathematics on philosophy, partly owing to him, has, ever since his time, been both profound and unfortunate. (Bertrand Russell)

(It is said that Pythagoras had rules such as; 'Do not eat beans', 'Do not pick up what has fallen'”, etc. which were all rather strange - however his sect was very private and wrote little so it is hard to know if this is true.)

To overcome this mysticism we must remember that mathematics is simply a logical relationship language. As Einstein explains, the use of axioms provides a logical foundation from which to develop mathematical relationships, and eliminate the abstract and mystical aspects.

This view of axioms, advocated by modern axiomatics, purges mathematics of all extraneous elements, and thus dispels the mystical obscurity which formerly surrounded the basis of mathematics. (Albert Einstein)

It is, for example, in the use of axioms, that Euclidean geometry is true. True simply meaning logically deduced from the axioms.

I will be adding more here over time as I find interesting information!

Geoff Haselhurst

Philosophy
/ Metaphysics of Mathematics - I fully agree with you about the significance and educational value of methodology
as well as history and philosophy of science. So many people today - and
even professional scientists - seem to me like somebody who has seen thousands
of trees but has never seen a forest. A knowledge of the historic and philosophical
background gives that kind of independence from prejudices of his generation
from which most scientists are suffering. This independence created by philosophical
insight is - in my opinion - the mark of distinction between a mere artisan
or specialist and a real seeker after truth. (**Albert Einstein**)

On the Mystical Foundations of Mathematics - Pythagoras, .. was intellectually one of the most important men that ever lived, both when he was wise, and when he was unwise. Mathematics, in the sense of demonstrative deductive argument, begins with him, and in him is intimately connected with a peculiar form of mysticism. The influence of mathematics on philosophy, partly owing to him, has, ever since his time, been both profound and unfortunate. (Bertrand Russell)

Mathematics and Music - The astronomer Galileo Galilei observed in 1623 that the entire universe "is written in the language of mathematics", and indeed it is remarkable the extent to which science and society are governed by mathematical ideas. It is perhaps even more surprising that music, with all its passion and emotion, is also based upon mathematical relationships. Such musical notions as octaves, chords, scales, and keys can all be demystified and understood logically using simple mathematics.

Famous Mathematics Quotes - As I work on these maths physics pages I collect mathematics / mathematical physics quotes that I think are important and add them to this page.

Covert
Censorship by the Physics Preprint Archive - This page on censorship in
Physics is here to show people that there are serious problems in getting new
knowledge published in Journals (particularly if it contradicts current paradigm
of 'particles' and 'fields', where it is just assumed that particle / wave duality
is insolvable, waves are just 'probability waves', etc.). The particular example
I have used relates to problems that Nobel Physics Laureate **Brian Josephson**
had in getting articles published. But the problem is endemic and applies equally
to philosophy.

Censorship at the Physics Forums http://www.physicsforums.com/ - This is a copy of a post that I replied to at http://www.physicsforums.com/. I don't think my reply was that bad given the criticism the Wave Structure of Matter received. However, when I went back to add a further comment, I found that I was BANNED for life from the physicsforums - the reason given was "crackpot" - and the post was deleted. I wrote to them asking for an explanation and have received no reply (funny about that!). And since then I have posted twice using new accounts. Each time my posts have been deleted and I have been banned. I wonder what people think of this form of censorship at the biggest physics forum on the internet? If you are like me and think this is wrong - please post at their forum and tell them so.

Mathematical
Physicist Dr Milo Wolff on the Wave Structure of Matter (WSM) in Space

I think all scientists would agree that to be certain
that the Spherical Wave Structure of Matter is true, we must demonstrate
that its Principles correctly deduce what we observe from observation and
experiment of the interconnected motion of matter in Space.

And here it is appropriate that I acknowledge the wonderful mind and pioneering
work of Mathematical Physicist Dr Milo Wolff on the Wave Structure of Matter
(1986 - 2007). His early work of applying the spherical scalar wave equations
to mathematical physics led him to deduce the fundamentals of both Einstein's
Special Relativity (mass increase) and Quantum Theory (de Broglie wavelength)
in one set of wave equations, thus both theoretically and metaphysically uniting
these two theories (metaphysics of Space and wave Motion - not Space and Time).
His work over the past 19 years has led to further deductions of the fundamental
laws of Nature from first principles (i.e. *a
priori*, rather than their current *a posteriori* empirical / inductive foundation which is always uncertain).

Wolff:
Wave Structure of Matter - Summary of the Logic and Mathematics of the **Wave Structure of Matter.**

Wolff:
Richard Feynman's QED - From **Feynman's** Advanced and Retarded Spherical Vector Electromagnetic Waves (Mathematical)
to **Spherical Scalar Quantum Waves** (real waves).

Wolff:
Binary Universe - The **Binary Nature of Reality** (Waves form from two balanced forces, Spherical In-Waves and Out-Waves). Relates
this to digital computing.

Wolff:
PhD Mathematical Physics / Biography - **Milo Wolff** - Astronomer, Electrical Engineer, retired Professor of Mathematical Physics,
first formalised the Wave Structure of Matter in 1986.

Video
Interviews of Dr Milo Wolff on Physics and the Wave Structure of Matter - The following interview between **Philosopher Geoff Haselhurst** and **Physicist Milo Wolff** on the **Wave Structure of Matter** was filmed in 2000 on the grounds of Berkeley University in California. Milo
Wolff is a fine theoretical physicist and one day he will no doubt receive
a Nobel Prize for his pioneering work on the Wave Structure of Matter. I
think you will find these video interviews to be interesting (at times amusing)
and very informative about the problems of modern physics and how they can
be solved by the Wave Structure of Matter.

Physics Book: Milo Wolff: 'Exploring the Physics of the Unknown Universe' - Buy Milo Wolff's Physics Book on the Wave Structure of Matter from Amazon.

Milo Wolff's Physics Website on the Wave Structure of Matter - My name is Milo Wolff and I am a physicist, astronomer, and explorer of the wondrous cosmology of the universe. I have worked for MIT, Aerospace Corporation, the United Nations, as well as taught at various universities in the USA and Asia. Join the exciting and fascinating exploration of matter, the natural laws, and the universe. You may become a famous pioneer and, at the least, you will have fun! (Milo Wolff)

http://www-conf.slac.stanford.edu/Einstein/Talks/Wolff.pdf
- **What is the Electron?** Introduction:
In his later years, Einstein was asked his thoughts about the huge numbers
of short-lived heavy particles, kaons, pions, quarks, mesons, etc. found
using high-energy accelerators and enormous amounts of time and money. These
physicists thought they were finding important basic matter. They wanted
to know what Einstein thought of their work. Einstein was a careful thinker
and not given to theatrics so he was very serious when he replied, "I
would just like to know what an electron is."

This article will show, just as Einstein speculated, that the electron is indeed
the leading player in the universe and is intimately involved with light, matter,
the laws of Nature, and our lives. The path to the answer, is simple: Reject
the discrete material electron and replace it with a wave-structured electron
as proposed by Schroedinger and Clifford - using a scalar-wave equation. The
math and the proofs are straight-forward because scalar waves are the only
possible choice. Only two principles underlie all results. Despite this simplicity
the WSM explains the origin of the natural laws, new applications in micro-physics
and chips, understanding light energy exchange and lasers, plus the answers
to most current paradoxes of physics. It is breathtaking to find so many results
together – simply by answering Einstein’s question "What
is the Electron". (**Milo Wolff, Geoff Haselhurst**)

http://quantummatter.com/articles_html/body_point.html - **The
Wave Center forms the 'Point Particle' Effect**. The dual particle/wave nature of the electron has long been a paradox in physics.
It is now seen that the electron consists entirely of a structure of spherical
waves whose behavior creates their particle-like appearance. The correctness
of this structure is supported by the physical laws which originate from
this wave structure, including quantum theory, special relativity, electric
force, gravity, and magnetism. (Milo Wolff)

http://www.signaldisplay.com/Unified_Field_Theory.pdf
- **The Derivation of a Unified Field Theory From a Model of Spherical
Quantum Waves.**

Abstract: It is shown that if space is modeled as an elastic medium that propagates
spherical, scalar quantum-waves, then the ratio of the square of the wave velocity
to c^{2} reveals
the same results as the familiar time dilation formula that is produced from
the Schwarzchild G44 component. The Schwarzchild radius derived from the scalar-wave
model is shown to be equal to the radius of the observable universe, implying
that there are no gravitational singularities present within the observable
universe. The spherical wave model also produces a formula that calculates
the mass of a vector particle associated with each of the four forces and its
associated range. (Michael Harney)

http://redshift.vif.com/JournalFiles/V13NO2PDF/V13N2HAR.pdf - **The
Cosmological-Redshift Explained by the Intersection of Hubble Spheres (Observable
Universe)**. The cosmological redshift is described by the intersection of two Hubble spheres,
where a Hubble sphere is defined as a range over which spherical, quantum-waves
interact, specifically Ru = 1.9 × 1026 m. (Michael Harney)

Deducing Heisenberg's Uncertainty Principle - Three short deductions of Heisenberg's Uncertainty Principle from Wave theorists, Mike Harney, Milo Wolff, and Chris Hawkings. The significant point is that by removing the 'particle' conception of matter and replacing this with the Spherical Standing Wave Structure of Matter we can deduce the Uncertainty Principle due to the spatially extended wave nature of matter. The confusion and paradox of Quantum Theory clearly results from the incorrect discrete 'particle' conception of matter. i.e. There is no discrete particle thus it is impossible to locate the exact position of something that does not exist (the continuous motion of a 'particle'!). In reality there is a discrete re-positioning of the wave center with each spherical in and out wave which gives the appearance of a continuously moving 'particle'.

http://www.ontostat.com/anglais/revisited_physics_gb.htm
- In this section on Physics, I would like to feed the debate on a certain
number of points, perhaps definitely established for physicists, but which
seem to me still fragile. Tackling with general questions, the first pages
(3.1 to 3.5) prepare the reader to this idea, matter is made of waves. From
the sixth (3.6) which present an undulatory model of particle, we really
enter into the subject.

The following pages display the basis of the Wave Structure of Matter (WSM)
Theory that I treat from the particle model I have conceived. Other authors
after Louis de Broglie, Milo Wolff, Gabriel LaFrenière,
Geoff Haselhurst, Chris Hawkings, Serge Cabala, have developed this theory,
broadly similar, but with differences in details. Nevertheless, the main difference
goes beyond this physical theory, it shows through the whole of ideas and facts
displayed on this site and is what leads the reader to this amazing finding:
a unique thing as simple as a wave, is likely to explain the entire Universe,
as well as the masse, the behaviour and the functioning of the objects it contains.
(**Denys Lepinard**)

Chris Hawkings - Could Matter and Matter Waves be Derivable? - 'The similarity in behaviour between matter and radiation suggests that matter may have an electromagnetic (wave) origin. It is shown that two light-speed waves with opposite directions of propagation yield a formalism which is identical to that describing the properties of matter. For spherical waves, particle localisation is also obtained and phase waves are generated, the properties of which match identically with matter wave properties.' Note: We do not agree with Chris in his use of vector electromagnetic waves (mathematical constructs which have no spherical solutions). We must instead work with scalar waves / real waves in Space.

Wave Structure of Matter Theorists Websites - Links to websites of people working on the Wave Structure of Matter. Physicist Dr Milo Wolff, Denys Lepinard, Mike Harney, Mike Weber, Ray Tomes (Harmonics), Serge Cabala, Gabriel LaFreniere.

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"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)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.

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.

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On Mathematics and Mysticism: From Mystical to Axiomatic Foundations of Maths / Mathematical Physics