Cosmology and the massive photon frequency shift in the Standard-Model Extension
The total red shift z might be recast as a combination of the expansion red shift and a static shift due to the energy-momentum tensor non-conservation of a photon propagating through Electro-Magnetic (EM) fields. If massive, the photon may be described by the de Broglie-Proca (dBP) theory which satisfies the Lorentz(-Poincaré) Symmetry (LoSy) but
Spallicci, Alessandro D. A. M. et al.
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2021