More about the hypothesis of a new weak interaction of electromagnetic field in the hidden sector

TL;DR

This paper proposes new hypothetical field equations unifying Maxwell's equations with a hidden sector involving sterile particles, suggesting a weak but significant interaction that could connect dark matter candidates with standard electromagnetism.

Contribution

It introduces a novel theoretical framework linking electromagnetic fields to a hidden sector via sterile particles and a new antisymmetric-tensor field, expanding beyond standard models.

Findings

Sterile particles interact via a new antisymmetric-tensor field.

Electromagnetic fields can source sterile A bosons separately.

The model suggests a weak but potentially detectable interaction with dark matter.

Abstract

New hypothetical field equations (Eqs. (1) and (2)) are further discussed, unifying Maxwell's equations of the Standard Model (after the electroweak symmetry is spontaneously broken) with the dynamics of hidden sector (expected to be responsible for the cold dark matter). The hidden sector is represented by sterile spin-1/2 Dirac fermions ("sterinos") and sterile spin-0 bosons ("sterons") whose masses are spontaneously generated by a nonzero vacuum expectation value of the steron field, while sterino and steron interactions are mediated by sterile spin-1 quanta of an antisymmetric-tensor field with a large mass scale ("A bosons"). These interactions are presumed to be weak, but stronger than the universal gravity. Beside sterinos and sterons, the Standard-Model photons are included into the source of sterile A bosons and so, they become a link between the hidden and Standard-Model sectors ("photonic portal" to the hidden sector). The relativistic structure of antisymmetric-tensor field of sterile A bosons can be split into a vector and an axial three-dimensional fields (of spin 1 and parities - and +) in such a way that the Standard-Model electric and magnetic fields become involved separately in the sources of these two kinds of sterile A-boson radiation, respectively.