Test of special relativity from K physics

A breakdown of the Local Lorentz Invariance and hence the special theory of relativity in the Kaon system can, in principle, induce oscillations between K0 and K̄0. We construct a general formulation in which simultaneous pairwise diagonalization of mass, velocity or weak eigenstates is not assumed and the maximum attainable velocities of K0 and K0 are different. This mechanism permits Local Lorentz Invariance violation in a manner that need not violate CPT conservation. We show that such a CPT-conserved violation of special relativity could be clearly tested experimentally through the energy dependence of the KL−KS mass difference and discuss constraints imposed by present experiments.