A Master Equation Approach to the `3 + 1' Dirac Equation

TL;DR

This paper derives the 3+1 dimensional Dirac equation using a master equation approach, extending previous methods from 1+1 dimensions and suggesting a link to causal set theories and inference problems.

Contribution

It introduces a novel derivation of the Dirac equation in 3+1 dimensions based on a master equation framework originally used for lower dimensions.

Findings

Derivation of the Dirac equation from a master equation in 3+1 dimensions.

Potential extension of causal set theories to quantum mechanics.

Connection between inference problems and fundamental physics.

Abstract

A derivation of the Dirac equation in `3+1' dimensions is presented based on a master equation approach originally developed for the `1+1' problem by McKeon and Ord. The method of derivation presented here suggests a mechanism by which the work of Knuth and Bahrenyi on causal sets may be extended to a derivation of the Dirac equation in the context of an inference problem.