Neoclassical Theory of Elementary Charges with Spin of 1/2

TL;DR

This paper extends a neoclassical model of elementary charges by incorporating spin 1/2, aligning many features with Dirac theory but maintaining positive energies for charges and anticharges.

Contribution

It introduces a spinorial version of the neoclassical charge theory that captures key Dirac-like features while differing in energy sign conventions.

Findings

Reproduces Dirac-like gyromagnetic ratio

Derives expressions for charge and spin currents

Ensures positive energies for both charge and anticharge

Abstract

We advance here our neoclassical theory of elementary charges by integrating into it the concept of spin of 1/2. The developed spinorial version of our theory has many important features identical to those of the Dirac theory such as the gyromagnetic ratio, expressions for currents including the spin current, and antimatter states. In our theory the concepts of charge and anticharge relate naturally to their "spin" in its rest frame in two opposite directions. An important difference with the Dirac theory is that both the charge and anticharge energies are positive whereas their frequencies have opposite signs.