On geometric relativistic foundations of matter field equations and plane wave solutions

TL;DR

This paper develops a geometric relativistic framework for matter field equations, revealing that their plane wave solutions exhibit repulsive interactions that can dynamically reproduce the exclusion principle, with implications for fundamental physics.

Contribution

It introduces a geometric relativistic foundation for matter fields and demonstrates how their wave solutions can dynamically model the exclusion principle.

Findings

Plane wave solutions show repulsive interactions.

Repulsive interactions can reproduce the exclusion principle.

Discusses potential consequences and issues.

Abstract

In this paper, we start from the geometric relativistic foundations to define the basis upon which matter field theories are built, and their wave solutions are investigated, finding that they display repulsive interactions able to reproduce the exclusion principle in terms of its effects in a dynamical way, then discussing possible consequences and problems.