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Using the hydrodynamical formalism of quantum mechanics for a Schrödinger 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 ondoi:10.1093/ptep/ptaa106 fatcat:n7f6pyrisfd2xc26un5vhbk2be