  We analyse a spin precession of slow neutrons in the Einstein-Cartan gravity
with torsion, chameleon and magnetic field. For the derivation of the
Heisenberg equation of motion of the neutron spin we use the effective
low-energy potential, derived by Ivanov and Wellenzohn (Phys. Rev. D92, 125004
(2015)) for slow neutrons, coupled to gravitational, chameleon and torsion
fields to order 1/m, where m is the neutron mass. In addition to this
low-energy interactions we switch on the interaction of slow neutrons with a
magnetic field. We show that to linear order approximation with respect to
gravitational, chameleon and torsion fields the Dirac Hamilton operator for
fermions (neutrons), moving in spacetimes created by rotating coordinate
systems, contains the anti-Hermitian operators of torsion-fermion (neutron)
interactions, caused by torsion scalar and tensor degrees of freedom. Such
anti-Hermitian operators violate CP and T invariance. One may assume that in
the rotating Universe and galaxies the obtained anti-Hermitian torsion-fermion
interactions might be an origin of i) violation of CP and T invariance in the
Universe and ii) of baryon asymmetry.
