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.
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.
Fermat’s Last Theorem and Pythagoras
as an Eigenvector Problem
The Coordinate Equation & Fermat’s Last Theorem
Dec 2022 Update
URMT development is currently suspended whilst the author pursues other related work.
The last URMT-specific publications were in April 2021, see the two papers below,
which formed part of what was to be the sixth book, but this is now delayed, pending
completion of the other related studies. This could be a few years, but the author
will continue to address URMT-related communications (email at foot of page) as normal
during this period.