Frequency variation for in vacuo photon propagation in the Standard-Model Extension

Abstract

In the presence of Lorentz Symmetry Violation (LSV) associated with the Standard-Model Extension (SME), we have recently shown the non-conservation of the energy-momentum tensor of a light-wave crossing an Electro-Magnetic (EM) background field even when the latter and the LSV are constant. Incidentally, for a space-time dependent LSV, the presence of an EM field is not necessary. Herein, we infer that in a particle description, the energy non-conservation for a photon implies violation of frequency invariance in vacuo giving rise to a red or blue shift. We discuss the potential consequences on cosmology.

arXiv commentTo appear as a letter in Eur. Phys. J. C. The paper proposes a new shift to be superposed to the cosmological redshift

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• Investigating dark energy by electromagnetic frequency shifts II: the Pantheon+ sample
• Testing the Ampère-Maxwell law on the photon mass and Lorentz-Poincaré symmetry violation with MMS multi-spacecraft data
• Generalized quaternionic free rotational Dirac equation and spinor solutions in the electromagnetic field
• Photon frequency variation in non-linear electro-magnetism