Unification of Gravity and Electro-Magnetism in Six Dimensions

TL;DR

This paper proposes a unification of gravity and electromagnetism in a six-dimensional framework, where photons are massless on the brane but acquire mass in extra dimensions, linking Einstein's and Maxwell's equations.

Contribution

It introduces a model connecting Einstein's equations on a brane with multi-dimensional Maxwell equations in a (2+4)-space, advancing unification theories.

Findings

Unification of gravity and electromagnetism in six dimensions.

Photon mass varies depending on extra-dimensional position.

Connection between Einstein's and Maxwell's equations in higher dimensions.

Abstract

Recently by us was proposed the model where Einstein's equation on the brane was connected with Maxwell's multi-dimensional equations in pseudo-Euclidean space. Based on this idea unification of 4-dimensional gravity and electromagnetism in (2+4)-space is found. In this picture photon is massless in four dimensions and obtains large mass in extra (1+1)-space normal to the brane.