2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/180830We review the basics of the two most widely used approaches to Lorentz violation - the Stardard Model Extension and Noncommutative Field Theory - and discuss in some detail the example of the modified spectrum of the synchrotron radiation. Motivated by touching upon such a fundamental issue as Lorentz symmetry, we ask three questions: What is behind the search for Lorentz violation? Is String Theory a physical theory? Is there an alternative to Supersymmetry?16 pages; invited luecture at DICE2006 - Piombino, Italy - September 2006Popular PhysicsHigh Energy Physics - PhenomenologyHigh Energy Physics - TheoryGeneral Physicstext