Operator representation of gravitational constraints in the case of a closed universe

Details Operator representation of gravitational constraints in the case of a closed universe Operator representation of gravitational constraints in the case of a closed universe

Dec 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995tmp...105.1603g&link_type=abstract

Theoretical and Mathematical Physics, Volume 105, Issue 3, pp.1603-1606

Mathematics

Mathematical Physics

Scientific paper

The Witten identity is used to obtain a representation of gravitational constraints for a closed Universe as an equality of two operators in the space of Dirac bispinors, the Dirac operator squared and the Laplace operator. Degeneracy of the spectra of these operators represents the Lorentz invariance of the Hamiltonian dynamics of the Universe in special gauges connected with the new operator representation.

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