Heisenberg-Pauli quantization of gravity.

Details Heisenberg-Pauli quantization of gravity. Heisenberg-Pauli quantization of gravity.

Feb 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993jmops...3....1p&link_type=abstract

J. Mosc. Phys. Soc., Vol. 3, No. 1, p. 1 - 17

Mathematics

Logic

Scientific paper

This paper discusses quantization of the Heisenberg-Pauli type of Einstein's theory of gravity (with explicit solution of the constraints before quantization). The procedures of constraining and quantization are shown to not commute, and the Heisenberg-Pauli quantum evolution of the Universe is found to differ from the Wheeler-DeWitt evolution and contain the quantum version of the Friedmann cosmology in the form of collective (superfluid) motion of the physical space. The quantum time arises as an invariant action and coincides with the Friedmann time (as an invariant interval) only for the classical case of the dust Universe, in accordance with the correspondence principle. However, for the Universe with any radiation the quantum time differs from the Friedmann one and satisfies the causality principle for all types of Universe (closed, open, flat). The cosmological perturbation theory and the relation of the quantum time to the large-scale periodic structure of the Universe are discussed.

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