Cosmic Rotation Axis, Birefrigence and Axions to detect Primordial torsion fields

TL;DR

This paper proposes a model where cosmic torsion interacts with massive photons, extending the Nodland-Ralston framework, and estimates a primordial torsion magnitude based on photon mass constraints.

Contribution

It introduces a torsion correction to the Nodland-Ralston action derived from Proca electrodynamics, maintaining gauge invariance and linking torsion to cosmic rotation.

Findings

Primordial torsion estimated at ~10^{-29} eV.

Photon acquires mass through torsion interactions.

The model preserves gauge invariance while incorporating torsion effects.

Abstract

Nodland Ralston (PRL,1997) investigated the cosmological anisotropy of electromagnetic fields.In this paper we show that it is possible obtain a torsion correction to Nodland-Ralston action starting from the massive Proca electrodynamics in Riemannian spacetime and performing the minimal coupling with torsion.We end up with an action which contains the Nodland Ralston action without breaking the gauge invariance.This mechanism however gives a photon a mass generated by the nonlinear torsion terms.The torsion vector is along the cosmic rotation axis and interacts with the massive photon.This method which breaks conformal invariance allow us to determine a primordial torsion of the order $10^{-29}eV$ from the well-known photon mass limits.