New Proposal for a 5-dimensional Theory of Kaluza-Klein type

TL;DR

This paper introduces a novel 5-dimensional classical unified field theory of Kaluza-Klein type using two scalar fields, addressing the variability of the gravity coupling parameter without conformal invariance, and deriving a new correspondence limit to Einstein-Maxwell equations.

Contribution

It proposes a new 5D Kaluza-Klein theory with two scalar fields that stabilizes the matter-geometry coupling and derives a novel limit connecting to Einstein-Maxwell equations.

Findings

Addresses the variability of gravity coupling without conformal invariance.

Introduces a new correspondence limit to Einstein-Maxwell equations.

Discusses scalar field gradients induced by electromagnetic fields.

Abstract

A new 5-dimensional Classical Unified Field Theory of Kaluza-Klein type is formulated using 2 separate scalar fields which are related in such a way as to make the 5-dimensional matter-geometry coupling parameter constant. It is shown that this procedure solves the problem of the variability of the gravity coupling parameter without having to assume a conformal invariance. The corresponding Field equations are discussed paying particular attention to the possible induction of scalar field gradients by Electromagnetic Fields. A new correspondence limit in which the field equations lead to the usual Einstein-Maxwell equations is obtained. This limit does not require the usual condition that the usual scalar field be constant.