  Using the hydrodynamical formalism of quantum mechanics for a Schrodinger
spinning particle, developed by T. Takabayashi, J. P. Vigier and followers,
that involves vortical flows, we propose the new geometrical interpretation of
the wave-pilot theory. The spinor wave in this interpretation represents an
objectively real field and the evolution of a material particle controlled by
the wave is a manifestation of the geometry of space. We assume this field to
have a geometrical nature, basing on the idea that the intrinsic angular
momentum, the spin, modifies the geometry of the space, which becomes a
manifold, that is represented as a vector bundle with a base formed by the
translational coordinates and time, and the fiber of the bundle, specified at
each point by the field of an tetrad $e^a_{\mu}$, forms from the bilinear
combinations of spinor wave function. It was shown, that the spin vector
rotates following the geodesic of the space with torsion and the particle moves
according to the geometrized guidance equation. This fact explains the
self-action of the spinning particle. We show that the curvature and torsion of
the spin vector line is determined by the space torsion of the absolute
parallelism geometry.
