  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.
