Dynamics of spining particles in a homogeneous space with rotation as possible mechanism of the inertial mass formation and interpretation of quantum uncertainty principle in general relativity

Abstract

The dynamics of particles with intrinsic angular momentum (spin) described by the Dirac equation is considered in a homogeneous space with rotation in the presence of a homogeneous vortex gravitational field. The effects of the interaction between the spin of Dirac particles and the vortex gravitational field, as well as a possible mechanism for the appearance of an inertial mass, which is inextricably linked, as shown, with the spin of particles, are revealed. A geometric interpretation of the uncertainty principle is given.