  We construct the geometro-hydrodynamical formalism for a spinning particle
based on the six-dimensional manifold of autoparallelism geometry which is
represented as a vector bundle with a base formed by the manifold of the
translational coordinates and a fibre specified at each point by the field of
an orthogonal coordinate frame underlying the classical spin. We show that the
geometry of oriented points leads to the existence of torsion field with the
source - the classical spin. We expand the geometro-hydrodynamical
representation of Pauli field developed by Takabayasi and Vigier. We show that
the external torsion field has a force effect on the velocity and spin fields
via the spin-vorticity, which is characteristic of the space structure with the
inhomogene triad field. The possible experimental effects of torsion field are
discussed.
