LORENTZ INVARIANCE VIOLATION MATRIX FROM A GENERAL PRINCIPLE

We show that a general principle of physical independence or physical invariance of mathematical background manifold leads to a replacement of the common derivative operators by the covariant co-derivative ones. This replacement naturally induces a background matrix, by means of which we obtain an effective Lagrangian for the minimal standard model with supplement terms characterizing Lorentz invariance violation or anisotropy of spacetime. We construct a simple model of the background matrix and find that the strength of Lorentz violation of proton in the photopion production is of the order 10-23.