The Dark Magnetism of the Universe
Jose Beltran Jimenez, Antonio L. Maroto

TL;DR
This paper explores a modified Maxwell's theory on cosmological scales, proposing that a propagating scalar mode can explain dark energy and generate cosmic magnetic fields, aligning with observations if inflation occurred at the electroweak scale.
Contribution
It introduces a theory where the scalar component of electromagnetic potential propagates, contributing to dark energy and magnetic field generation on large scales.
Findings
Scalar electromagnetic mode acts as an effective cosmological constant.
Predicted cosmological constant matches observations with electroweak scale inflation.
Modified equations can generate seed magnetic fields for galaxies.
Abstract
Despite the success of Maxwell's electromagnetism in the description of the electromagnetic interactions on small scales, we know very little about the behaviour of electromagnetic fields on cosmological distances. Thus, it has been suggested recently that the problems of dark energy and the origin of cosmic magnetic fields could be pointing to a modification of Maxwell's theory on large scales. Here, we review such a proposal in which the scalar state which is usually eliminated be means of the Lorenz condition is allowed to propagate. On super-Hubble scales, the new mode is essentially given by the temporal component of the electromagnetic potential and contributes as an effective cosmological constant to the energy-momentum tensor. The new state can be generated from quantum fluctuations during inflation and it is shown that the predicted value for the cosmological constant agrees…
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