Spin substructure of space-time.

Details Spin substructure of space-time. Spin substructure of space-time.

Jun 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987gregr..19..643b&link_type=abstract

General Relativity and Gravitation, Volume 19, Issue 6, pp.643-648

Computer Science

3

Gravitation Theory:Space-Time

Scientific paper

Space-time is provided with an underlying SL(2,C) spin space with complex noncommutative spinor coordinatesC A which satisfyx^{dot AB} = tfrac{1}{2}\{ C^{dot A} ,C^B \} . It is shown that the orbital angular momentum operator has a realization in this space as a derivative operator which can take on half-integral spin values, and the graded Lie algebra which describes the structure of the spin space is discussed. The spin-space translations mix fermi and bose fields and produce space-time translations which are not nil-potent. A hermitean metric with a line element which is invariant under such localx-dependent translations is introduced.

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