Five-Dimensional Unification of the Cosmological Constant and the Photon Mass

TL;DR

This paper proposes a five-dimensional geometric framework that unifies the cosmological constant with photon mass by relating electromagnetic potential and scalar fields within a Kaluza-Klein setting.

Contribution

It introduces a non-Riemannian 5D geometry that unifies the cosmological constant and photon mass through a novel connection formulation.

Findings

Unifies cosmological constant and photon mass in a 5D geometric model

Derives a mass term for the photon from higher-dimensional gravity

Shows consistency with Kaluza-Klein symmetry principles

Abstract

Using a non-Riemannian geometry that is adapted to the 4+1 decomposition of space-time in Kaluza-Klein theory, the translational part of the connection form is related to the electromagnetic vector potential and a Stueckelberg scalar. The consideration of a five-dimensional gravitational action functional that shares the symmetries of the chosen geometry leads to a unification of the four-dimensional cosmological term and a mass term for the vector potential.