On Maxwell's equations unified with the dynamics of cold dark matter

TL;DR

This paper introduces new unified field equations that combine Maxwell's electrodynamics with the dynamics of cold dark matter, mediated by sterile particles and a sterile tensor field, revealing a potential photonic portal between visible and dark sectors.

Contribution

It proposes a novel set of field equations unifying electrodynamics with cold dark matter through sterile particles and a sterile tensor field, including a weak coupling that suggests a photonic portal.

Findings

Unified equations incorporate sterile dark matter fields

Spontaneous quasi-magnetic coupling between electromagnetic and sterile fields

Potential pathway for interaction between Standard Model and dark matter sectors

Abstract

New simple field equations are proposed (Eqs. (5)), unifying Maxwell's equations of the Standard Model electrodynamics (after the electroweak symmetry is spontaneously broken) with the dynamics of cold dark matter. The cold dark matter is represented here by sterile spin-1/2 Dirac fermions (sterinos) whose mass is spontaneously generated by the nonzero vacuum expectation value of a field of sterile scalars (sterons), while their interactions are mediated by quanta of a sterile antisymmetric tensor field with a large mass. The new field equations include a specific weak coupling of the Standard Model electromagnetic field to the sterile fields. It has a spontaneous quasi-magnetic structure. Such a coupling opens a photonic portal between the Standard Model world and the sterile world.