Remarks on the group-theoretical foundations of particle physics

TL;DR

This paper suggests using the group SL(4,R) as a broader mathematical foundation for particle physics, aiming to derive the standard model as an approximation within this framework.

Contribution

It introduces SL(4,R) as a generalization of the Dirac group SL(2,C) for potential development of a more comprehensive particle physics theory.

Findings

SL(4,R) can serve as a basis for a generalized particle physics framework

The standard model may emerge as an approximation from this broader theory

Provides a new mathematical foundation for unifying particle physics theories

Abstract

I propose the group SL(4,R) as a generalisation of the Dirac group SL(2,C) used in quantum mechanics, as a possible basis on which to build a more general theory from which the standard model of particle physics might be derived as an approximation in an appropriate limit.