This study explores how Lorentz invariance violation (LIV) affects photon interactions, both during intergalactic propagation (Breit-Wheeler process) and atmospheric interactions (Bethe-Heitler process). In the context of astroparticle propagation, we show how LIV can modify the cross section, the threshold energy, and consequently, the mean free path of particles. Shifting to atmospheric interactions, we analyze the impact of LIV on photon-initiated extensive air showers showing that the cross section of the initial interaction can be modified. Our results reveal that even small deviations from Lorentz invariance can lead to significant changes in both astroparticle propagation and photon dynamics.
These findings enhance our understanding of high-energy astrophysical phenomena and open possibilities for testing quantum gravity theories.
