Unity Root Matrix Theory (URMT)
Unity Root Matrix Theory is an integer-based theory that has both a pure number-theoretic side, with connections to Fermat’s Last Theorem and the Riemann Hypothesis, and a physical side by virtue of the similarity of its equations and phenomenology to that of Physics. It offers a possible discrete formulation of the laws of nature without recourse to real numbers or continuous equations.
URMT Overview
A complete overview of URMT, including Special Relativity
and Quantum Mechanics. PDF download
Number Theory and Physics
“The Laws of Physics are those of Number Theory”
This is the view of the author (Richard J Miller) of Unity Root Matrix Theory (URMT).
Whilst there is absolutely no denying the Standard Model and General Relativity,
his belief is that nature is ultimately discrete and any quantum theory of gravity
will have to embrace this. In the author’s opinion, current physical laws are merely
a continuous-valued, macroscopic approximation to what is ultimately a discrete form.
Any such discrete formulation should have no concept of physical laws at its lowest
level and, instead, such laws, including the very concepts of space and time, only
materialise as the numbers grow larger.
April 2021
Fermat’s Last Theorem and Pythagoras
as an Eigenvector Problem
PDF download
April 2021
The Coordinate Equation & Fermat’s Last Theorem
PDF download
Jan 2025 Latest
‘Residual Matrix Method’ Matlab example added - demonstrates finding the eigenvectors
of a matrix given its distinct eigenvalues. See the page Matlab code for all examples
- currently under development.
Nov 2024 URM6 Quark Flavour Model Matlab example added.
Aug 2024: Some general theoretical physics essays and a dissertation have been added
recently, see the Miscellaneous Related Topics.