Lorentz invariance violation and macroscopic phenomenology

Violation of Lorentz and CPT symmetry are known to appear in various quantum gravity constructions A thoroughly developed phenomenological model of such violations has been constructed by Kostelecky et al This Standard Model Extension SME is based on a modification of the standard Lagrangian by adding to it all possible tensorial terms In the electromagnetic sector SME is dealing with a set of 21 independent parameters To our opinion one problem associated with this model is