Spin substructure of space-time (Q5903983)

The author continues the investigation [ibid. 19, 643-648 (1987; Zbl 0621.53058)] of a spin substructure of space-time based on noncommutative spinorial coordinates. In the present work spin coordinate transformations corresponding to a local Fermi-Bose symmetry are considered, and a spin vector for such transformations is discussed. As a consequence of these constructions spin space admits a spinorial vierbein field which allows the definition of non-nilpotent lines and volume elements which generalize those occurring in conventional relativity.