Eidomorphism: The Philosophy of Ontological Mathematics by Neven Knezevic

Author:Neven Knezevic [Knezevic, Neven]
Language: eng
Format: epub
Tags: philosophy, ontological mathematics
ISBN: 9781074086138
Google: f-ubxgEACAAJ
Amazon: B07T7FWWX1
Publisher: Independently Published
Published: 2019-06-17T22:00:00+00:00

The Monad As Basis of Physics

Monads are infinitesimal unit-point emitters of flowing points and endowed with an internal structure of the complex plane and of a characteristic combinatory function. The definition of the monad and its explanatory necessity thus argued is the only one that fits the bill as having all of the necessary properties capable of generating the entire universe and the continuum underlying space and time, and all in one substance. To answer Stephen Hawking’s question about what puts the fire into equations—well, it’s monads.

There is one more key element that needs to be including now, and that is assigning a correlation between flowing points and some basic entity of physics. Given everything that has been said about the mathematical structure of flowing points and the most basic mathematical structure being Euler’s formula, a physicist may conclude that the abductive correlation we’re after is to identify flowing points with photons. Indeed, the physicist wouldn’t be far off were it not for one important fact: if the photon were to be identified with a flowing point moving according to Euler’s formula, one would have to also separate the photon into its component sinusoidal parts, meaning that the most basic entities are ontological sinusoids and it is their combinations and configurations which would form photons and other particles. From the standpoint of eidetic mathematics and a physics derived from it, all that we have in existence is light and its various configurations.

There is one problem that is raised if we posit light as being fundamental, and give light more degrees of freedom than what we give to ordinary photons (by giving it component parts whose phase may be manipulated). The problem is that ordinary light is of the U(1) symmetry, while the other fundamental forces and their components are also of the SU(2) and SU(3) symmetry, and the symmetries of the Standard Model’s quantum fields are SU(3)× SU(2)× U(1). The problem is easily resolvable on some conceptual analysis of what we have put forward. First of all, SU(3) and SU(2) are not much different than U(1) symmetry apart from the fact that they have more degrees of freedom and are also rotation symmetries, though they’re in higher dimensions. U(1) symmetry is a rotational symmetry for the complex plane and rotations about Euler’s formula are parametrizations of U(1) symmetry, hence the alternate name for this symmetry: the circle group. SU(2) is a double cover of a spherical surface, and SU(3) is a higher-dimensional symmetry regarding spheres and hyperspheres. Indeed, if we were to take flowing points as components of U(1) symmetry and give them degrees of freedom in three complex dimensions rather than one, the mystery is then immediately resolved. SU(3) and SU(2) are, then, simply deduced from increasing the degrees of freedom of flowing points and the fundamental forces (barring gravity) are just a result of various configurations of flowing points.

This line of reasoning about physics also has the virtue of not assuming any more complexity than is needed to generate the Standard Model.

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