  Lorentz invariance violation (LIV) is a phenomenon featuring in various
quantum gravity models whereby Lorentz symmetry is broken at high energies,
potentially impacting the behaviour of particles and their interactions. Here
we investigate the phenomenology of LIV within the context of gamma-ray-induced
electromagnetic cascades. We conduct detailed numerical simulations to explore
the expected manifestations of LIV on gamma-ray fluxes, taking into account
relevant effects such as pair production and inverse Compton scattering.
Additionally, we consider processes forbidden in the Standard Model, namely
vacuum Cherenkov emission and photon decay. Our analysis reveals that these
modifications result in distinct characteristics within the measured particle
fluxes at Earth, which have the potential to be observed in high-energy
gamma-ray observations.
