A New Version of Dirac's AEther and Its Cosmological Applications

TL;DR

This paper introduces a new formulation of Dirac's Aether using a Lagrangian approach, modeling it as a conductive medium governed by Maxwell equations, and applies it to primordial magnetic field amplification in cosmology.

Contribution

It presents a novel Lagrangian-based model of Dirac's Aether incorporating self-interaction, linking it to macroscopic electromagnetism and cosmological magnetic field amplification.

Findings

Aether modeled as a conductive medium with polarization tensor

Application to primordial magnetic field amplification in Friedmann universe

New theoretical framework connecting Aether and cosmology

Abstract

We propose a new formulation for the AEther of Dirac based on a lagrangian approach. We analyse how the presence of a particular self-interaction term in the lagrangian lead us to a description of the aether as being a medium with conductivity which is governed by macroscopic Maxwell equations with a polarization tensor M_{\alpha\beta} depending on the vector potential. These results are then applied to the analysis of the amplification of the primordial magnetic induction in a curved background of Friedmann's geometry.