TEST OF SPECIAL RELATIVITY FROM K-PHYSICS

A breakdown of the Local Lorentz Invariance and hence the special theo ry of relativity in the Kaon system can, in principle, induce oscillat ions between K-0 and (K) over bar(0). We construct a general formulati on 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 co nservation. We show that such a CPT-conserved violation of special rel ativity could be clearly tested experimentally through the energy depe ndence of the K-L - K-S mass difference and discuss constraints impose d by present experiments. (C) 1998 Published by Elsevier Science B.V.