2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/175771We present a unified general formalism for ultraviolet Lorentz invariance violation (LV) testing through electromagnetic wave propagation, based on both dispersion and rotation measure data. This allows for a direct comparison of the efficacy of different data to constrain LV. As an example we study the signature of LV on the rotation of the polarization plane of $γ$-rays from gamma ray bursts in a LV model. Here $γ$-ray polarization data can provide a strong constraint on LV, 13 orders of magnitude more restrictive than a potential constraint from the rotation of the cosmic microwave background polarization proposed by Gamboa, López-Sarrión, and Polychronakos (2006).5 pages, references added, accepted for publication in Phys. Lett. BAstrophysicsGeneral Relativity and Quantum CosmologyHigh Energy Physics - PhenomenologyHigh Energy Physics - Theorytext