Spin substructure of space-time

In a spin space, with noncommutative spinorial coordinatesC ^A which satisfyx ^AB =1/2{C ^A ,C ^*B }, we investigatex-dependent spin coordinate transformations which correspond to a local fermi-bose symmetry. A concept of a spin vector corresponding to these local transformations is established, and spin space is provided with a spinorial vierbein field which determines non-nil-potent line and volume elements which are direct generalizations of the conventional relativistic ones.