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 K-0 and (K) over bar(0). 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 K-0 and (K-0) over bar 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 K-L - K-S mass difference and discuss constraints imposed by present experiments. (C) 1998 Published by Elsevier Science B.V.