On Maxwell's equations unified with the dynamics of cold dark matter
  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. 
Wojciech Krolikowski (University of Warsaw)