Spin substructure of space-time

Physics

Scientific paper

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Scientific paper

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.

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