Geodesic
Operator representation of gravitational constraints for the case of the closed universe
Teoretičeskaâ i matematičeskaâ fizika, Tome 105 (1995) no. 3, pp. 503-507 
N. N. Gorobey; A. S. Lukyanenko. Operator representation of gravitational constraints for the case of the closed universe. Teoretičeskaâ i matematičeskaâ fizika, Tome 105 (1995) no. 3, pp. 503-507. http://geodesic.mathdoc.fr/item/TMF_1995_105_3_a15/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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