Unity Root Matrix Theory

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

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

Aug 2024 Latest

Work has now resumed on URMT and general theoretical physics as of Aug 2024 following suspension of URMT development since Dec 2022.

Some general theoretical physics essays and a dissertation have been added recently, see the Miscellaneous Related Topics.