On a Classical, Geometric Origin of Magnetic Moments, Spin-Angular Momentum and the Dirac Gyromagnetic Ratio

TL;DR

This paper presents a geometric interpretation of magnetic moments and spin-angular momentum as originating from complex world lines in Minkowski space, linking classical fields to quantum properties like the Dirac gyromagnetic ratio.

Contribution

It introduces a novel geometric framework embedding Maxwell and Einstein equations in complex Minkowski space to explain magnetic moments and spin.

Findings

Magnetic moments and spin-angular momentum arise from complex monopole sources.

When complex centers of mass and charge coincide, the gyromagnetic ratio matches that of the Dirac electron.

Provides a classical geometric perspective on quantum magnetic properties.

Abstract

By treating the real Maxwell Field and real linearized Einstein equations as being imbedded in complex Minkowski space, one can interpret magnetic moments and spin-angular momentum as arising from a charge and mass monopole source moving along a complex world line in the complex Minkowski space. In the circumstances where the complex center of mass world-line coincides with the complex center of charge world-line, the gyromagnetic ratio is that of the Dirac electron.