Gravity and Parity Violation in Spin Gauge Theory

Abstract

Within a spin-gauge theory of gravity unified with the electroweak interaction we start with totally symmetric left- and right-handed fermions and explain the parity violation by symmetry breaking in such a way that the $W^{\pm}$-bosons couple only to the left-handed leptons. Right-handed neutrinos exist and couple as the right-handed electrons only to the Z-bosons (and to gravity). The mass of the neutrinos comes out to be necessarily zero. Therefore this procedure cannot be transferred to the quarks, because then the u-quark would become massless too; for this reason parity violation with respect to the quarks is avoided. On the other hand concerning gravity the u-quark couples only with u-quarks and the d-quark only with d-quarks, however with the same strength, so that isotopic effects appear regarding the equivalence principle in such a way, that the macroscopic gravitational constant depends on the isotopic composition of the material.