Clifford Residues and Charge Quantization

TL;DR

This paper derives the quantization of fundamental physical quantities like action, particle number, and electric charge within a geometric framework involving spin bundles over a compactified Minkowski space.

Contribution

It introduces a novel geometric approach to charge and action quantization using Clifford residues on a specific compactified spacetime manifold.

Findings

Quantization conditions for action, charge, and particle number derived

Geometric framework involving Clifford residues established

Application to a compactified Minkowski space setting

Abstract

We derive the quantization of action, particle number, and electric charge in a Lagrangian spin bundle over M equivalent M_# union D_J, Penrose's conformal compactification of Minkowsky space, with the world tubes of massive particles removed.