Content.- Abstract.- I. Introduction.- II. Violation of local Lorentz invariance.- II. A. Definitions.- II.B. Reciprocity relation of the relative velocities and symmetry relation of the functional form of the transformation parameter.- II.C. Evaluation of experimental evidence of the principal nonequivalence of all inertially moving frames.- III. Universal anisotropy and inhomogeneity of space.- IV. Fundamental properties of photons as cause of the time dilatation effect.- IV.A. Definitions.- IV.B. The absolute velocity vector of photons in the fundamental frame.- IV.C The synchrotron effect formula in the fundamental frame.- IV. D. The general time dilatation and length contraction formulas in the fundamental frame.- V. Summary.- Literature.