Title: Time Flow and Flavor Mixing in the Flavor Spin Theory

Abstract: We show that in the flavor spin theories (theories with non-Euclidean signature of the kinematic quadratic term of the Lagrangian) for physical mass eigenstates the transition from the interaction to the mass eigenstate basis is constrained. In the corresponding modification of the SM the constraints result in the experimentally observed textures of both lepton and quark flavor mixing matrices. Furthermore, the number of real mixing parameters is reduced by one for each of the quark and lepton sectors. In addition some pairs of elements of V_CKM and separately U_PMNS must have the same absolute values. The equalities are observed experimentally within the error bounds. Apart from its imprint on the flavor mixing the modified SM is identical to the SM.