2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229762In this paper we present the full theoretical model of a modified Ives-Stillwell experiment where counter propagating lasers are used to form a narrow interference fringe when the lasers form a double resnonance. This narrow resoannce can be as small as 1 Hz wide and therefore provides a connection between the atomic resonance in its rest frame and the laser frequency in the lab frame. The current paper builds on a simplified approach suggested recently and presents a fully developed theory of the interaction within the Lorentz vilating electrodynamics of the Standard Model Extension.Submission to JMO special issueQuantum Physicstext