  We consider propagating torsion as a completion of gravitation in order to
describe the dynamics of curved-twisted space-times filled with Dirac spinorial
fields; we discuss interesting relationships of the torsion axial vector and
the curvature tensor with the Yvon-Takabayashi angle and the module of the
spinor field, that is the two degrees of freedom of the spinor field itself: in
particular, we shall discuss in what way the torsion axial vector could be seen
as the potential of a specific interaction of the Yvon-Takabayashi angle, and
therefore as a force between the two chiral projections of the spinor field
itself. Chiral interactions of the components of a spinor may render effects of
zitterbewegung, as well as effective mass terms and other related features: we
shall briefly sketch some of the analogies and differences with the similar but
not identical situation given by the Yukawa interaction occurring in the Higgs
sector of the standard model. We will provide some overall considerations about
general consequences for contemporary physics, consequences that have never
been discussed before, so far as we are aware, in the present physics
literature.
