Spinors, gravity and recalibration invariance. Microphysical motivation for the weyl geometry

Discussed is the status of scale and internal geometry in the theory of mutually interacting gravitational and spinor fields. Suggested is a class of dynamical models free of any introduced by hand scale standards, absolute objects, etc. in internal spaces of field multiplets. Weyl geometry of the physical space-time seems to be implied by the Finkelstein-Penrose-Weizsنcker idea [2,12] about two-component complex objects which describe an ultimate physical reality, underlying quantum phenomena and spatio-temporal structures. There are certain links with the Hehlʹs idea of dilaton [7] and the metric-affine gravitation theory. Our analysis seems to suggest that some short-range massive modes may appear in the gravitational sector of field quantities.