An Electrical Spinning Particle In Einstein's Unified Field Theory

TL;DR

This paper demonstrates that, under specific conditions, the equations governing a spinning particle in Einstein's unified field theory mirror those in Einstein-Maxwell theory, linking particle structure and motion to electromagnetic interactions.

Contribution

It shows that the equations of structure and motion for a spinning particle in Einstein's unified field theory are identical to those in Einstein-Maxwell theory under certain conditions.

Findings

Equations of structure and motion match Einstein-Maxwell theory

Conditions on the energy tensor enable this equivalence

Provides a covariant approach to particle dynamics in unified field theory

Abstract

Previous work on exact solutions has been shown that sources need to be appended to the field equation of Einstein's unified field theory in order to achieve physically meaningful results,such sources can be included in a variational formulation by Borchsenius and moffat.The resulting field equations and conservation identities related to the theory that can be used to derive the equations of structure and motion of a pole-dipole particle according to an explicitly covariant approach by Dixon6.In this present paper it is shown that,under certain conditions for the energy tensor of the spinning particle,the equations of structure and motion in an electromagnetic field turn out to be formly identical to those occurring in Einstein-Maxwell theory.