Spacetime structure and Quantum physics

TL;DR

This paper explores the deep connection between spacetime structure and quantum physics, proposing that electromagnetism's spacetime geometry influences particle dynamics and field topology, potentially integrating gravity into electromagnetism.

Contribution

It introduces a novel approach linking spacetime topology with quantum phenomena through path integration, aiming to incorporate gravity into electromagnetic theory.

Findings

Electromagnetic dynamics depend solely on the four-vector potential.

Spacetime topology affects electromagnetic field existence.

Path integration connects spacetime structure with quantum physics.

Abstract

A description of electromagnetism as four-dimensional spacetime structure leads to the dynamics of a charged particle being determined only by the four-vector potential and the existence of an electromagnetic field depending on the topological structure of the background spacetime. When the spacetime structure of electromagnetism is complex it is possible to connect spacetime structure and quantum physics via the method of path integration. (This paper is a consequence of an attempt to incorporate gravitation into electromagnetism by describing gravity as a coupling of two electromagnetic fields.)