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Using the hydrodynamical formalism of quantum mechanics for a Schrodingerspinning particle, developed by T. Takabayashi, J. P. Vigier and followers,that involves vortical flows, we propose the new geometrical interpretation ofthe wave-pilot theory. The spinor wave in this interpretation represents anobjectively real field and the evolution of a material particle controlled bythe wave is a manifestation of the geometry of space. We assume this field tohave a geometrical nature, basing on the idea that the intrinsic angularmomentum, the spin, modifies the geometry of the space, which becomes amanifold, that is represented as a vector bundle with a base formed by thetranslational coordinates and time, and the fiber of the bundle, specified ateach point by the field of an tetrad $e^a_{\mu}$, forms from the bilinearcombinations of spinor wave function. It was shown, that the spin vectorrotates following the geodesic of the space with torsion and the particle movesaccording to the geometrized guidance equation. This fact explains theself-action of the spinning particle. We show that the curvature and torsion ofthe spin vector line is determined by the space torsion of the absoluteparallelism geometry.

Geometrical interpretation of the wave-pilot theory and manifestation of the spinor fields