New Curved Spacetime Dirac Equations - On the Anomalous Gyromagnetic Ratio

TL;DR

This paper introduces three new curved spacetime Dirac equations aiming to naturally explain the anomalous gyromagnetic ratio of Fermions, suggesting particles have finite size and addressing lepton mass hierarchy and particle asymmetries.

Contribution

The paper presents novel curved spacetime Dirac equations that account for Fermion properties and anomalies, including finite particle size and lepton mass hierarchy, with implications for particle asymmetries.

Findings

Equations suggest particles have finite spatial size.

Asymmetry in energy solutions explains lepton mass differences.

Potential explanation for lepton mass hierarchy.

Abstract

I propose three new curved spacetime versions of the Dirac Equation. These equations have been developed mainly to try and account in a natural way for the observed anomalous gyromagnetic ratio of Fermions. The derived equations suggest that particles including the Electron which is thought to be a point particle do have a finite spatial size which is the reason for the observed anomalous gyromagnetic ratio. A serendipitous result of the theory, is that, two of the equation exhibits an asymmetry in their positive and negative energy solutions the first suggestion of which is clear that a solution to the problem as to why the Electron and Muon - despite their acute similarities - exhibit an asymmetry in their mass is possible. The Mourn is often thought as an Electron in a higher energy state. Another of the consequences of three equations emanating from the asymmetric serendipity of the energy solutions of two of these equations, is that, an explanation as to why Leptons exhibit a three stage mass hierarchy is possible.