The Origin of the Electromagnetic Interaction in Einstein's Unified Field Theory with Sources

TL;DR

This paper extends Einstein's unified field theory by incorporating matter, suggesting it can encompass electromagnetism within a gravoelectrodynamics framework in a polarizable Riemannian continuum.

Contribution

It introduces matter terms into Einstein's unified field theory and demonstrates how electromagnetism may emerge from this extended framework.

Findings

Electromagnetism can be derived from the extended theory.

The theory models a gravoelectrodynamics in a polarizable continuum.

Approximate calculations support the unification of interactions.

Abstract

Einstein's unified field theory is extended by the addition of matter terms in the form of a symmetric energy tensor and of two conserved currents. From the field equations and from the conservation identities emerges the picture of a gravoelectrodynamics in a dynamically polarizable Riemannian continuum. Through an approximate calculation exploiting this dynamical polarizability it is argued that ordinary electromagnetism may be contained in the theory.