Teleparallel Equivalent of the Kaluza-Klein Theory

TL;DR

This paper develops a teleparallel version of Kaluza-Klein theory, unifying gravity and electromagnetism with a five-dimensional internal space while keeping four-dimensional spacetime.

Contribution

It introduces a teleparallel framework for Kaluza-Klein theory, emphasizing a five-dimensional internal space and a translational gauge approach to unify fundamental interactions.

Findings

Unifies gravity and electromagnetism in a teleparallel Kaluza-Klein model.

Maintains four-dimensional spacetime with a five-dimensional internal space.

Establishes a five-dimensional translational gauge theory for unification.

Abstract

Relying upon the equivalence between a gauge theory for the translation group and general relativity, a teleparallel version of the original Kaluza-Klein theory is developed. In this model, only the internal space (fiber) turns out to be five dimensional, spacetime being kept always four dimensional. A five-dimensional translational gauge theory is obtained which unifies, in the sense of Kaluza-Klein theories, gravitational and electromagnetic interactions.