Abstract:
Von Neumann’s procedure is applied to quantizing general relativity. Initial data for dynamical variables in the Planck epoch, where the Hubble parameter value coincided with the Planck mass are quantized. These initial data are defined in terms of the Fock orthogonal simplex in the tangent Minkowski spacetime and the Dirac conformal interval. The Einstein cosmological principle is used to average the logarithm of the determinant of the spatial metric over the spatial volume of the visible Universe. The splitting of general coordinate transformations into diffeomorphisms and transformations of the initial data is introduced. In accordance with von Neumann’s procedure, the vacuum state is treated is a quantum ensemble that is degenerate in quantum numbers of nonvacuum states. The distribution of the vacuum state leads to the Casimir effect in gravidynamics in just the same way as in electrodynamics. The generating functional for perturbation theory in gravidynamics is found by solving the quantum energy constraint. The applicability range of gravidynamics is discussed along with the possibility of employing this theory to interpret modern observational data. © 2017, Pleiades Publishing, Ltd.
Registro:
Documento: |
Artículo
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Título: | Von Neumann’s quantization of general relativity |
Autor: | Arbuzov, A.B.; Cherny, A.Y.; Cirilo-Lombardo, D.J.; Nazmitdinov, R.G.; Han, N.S.; Pavlov, A.E.; Pervushin, V.N.; Zakharov, A.F. |
Filiación: | Joint Institute for Nuclear Research, ul. Joliot-Curie 6, Dubna, Moscow oblast, 141980, Russian Federation University Dubna, Universitetskaya ul. 19, Dubna, Moscow oblast, 141982, Russian Federation National Institute for Plasma Physics (INFIP-CONICET), FCEyN, Universidad de Buenos Aies, Buenos Aires, 1428, Argentina Universitat de les Illes Balears, Cra. de Valldemossa, km 7.5, Palma (Illes Balears), 07122, Spain Hanoi University of Science, Hanoi, Viet Nam Russian State Agrarian University, Timiryazevskaya ul. 49, Moscow, 127550, Russian Federation Institute for Theoretical and Experimental Physics, National Research Center Kurchatov Institute, Bol’shaya Cheremuskinskaya ul. 25, Moscow, 117218, Russian Federation
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Año: | 2017
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Volumen: | 80
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Número: | 3
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Página de inicio: | 491
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Página de fin: | 504
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DOI: |
http://dx.doi.org/10.1134/S106377881702003X |
Título revista: | Physics of Atomic Nuclei
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Título revista abreviado: | Phys. At. Nucl.
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ISSN: | 10637788
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10637788_v80_n3_p491_Arbuzov |
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Citas:
---------- APA ----------
Arbuzov, A.B., Cherny, A.Y., Cirilo-Lombardo, D.J., Nazmitdinov, R.G., Han, N.S., Pavlov, A.E., Pervushin, V.N.,..., Zakharov, A.F.
(2017)
. Von Neumann’s quantization of general relativity. Physics of Atomic Nuclei, 80(3), 491-504.
http://dx.doi.org/10.1134/S106377881702003X---------- CHICAGO ----------
Arbuzov, A.B., Cherny, A.Y., Cirilo-Lombardo, D.J., Nazmitdinov, R.G., Han, N.S., Pavlov, A.E., et al.
"Von Neumann’s quantization of general relativity"
. Physics of Atomic Nuclei 80, no. 3
(2017) : 491-504.
http://dx.doi.org/10.1134/S106377881702003X---------- MLA ----------
Arbuzov, A.B., Cherny, A.Y., Cirilo-Lombardo, D.J., Nazmitdinov, R.G., Han, N.S., Pavlov, A.E., et al.
"Von Neumann’s quantization of general relativity"
. Physics of Atomic Nuclei, vol. 80, no. 3, 2017, pp. 491-504.
http://dx.doi.org/10.1134/S106377881702003X---------- VANCOUVER ----------
Arbuzov, A.B., Cherny, A.Y., Cirilo-Lombardo, D.J., Nazmitdinov, R.G., Han, N.S., Pavlov, A.E., et al. Von Neumann’s quantization of general relativity. Phys. At. Nucl. 2017;80(3):491-504.
http://dx.doi.org/10.1134/S106377881702003X