Von Neumann's quantization of general relativity

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dc.contributor.author Arbuzov, A.B.
dc.contributor.author Cherny, A.Yu
dc.contributor.author Cirilo-Lombardo, D.J.
dc.contributor.author Nazmitdinov, Rashid
dc.contributor.author Han, Nguyen Suan
dc.contributor.author Pavlov, A.E.
dc.contributor.author Pervushin, V.N.
dc.contributor.author Zakharov, A.F.
dc.date.accessioned 2018-11-20T08:54:25Z
dc.identifier.uri http://hdl.handle.net/11201/148551
dc.description.abstract [eng] 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.
dc.format application/pdf
dc.relation.isformatof https://doi.org/10.1134/S106377881702003X
dc.relation.ispartof Physics of Atomic Nuclei, 2017, vol. 80, num. 3, p. 491-504
dc.rights , 2017
dc.subject.classification 53 - Física
dc.subject.other 53 - Physics
dc.title Von Neumann's quantization of general relativity
dc.type info:eu-repo/semantics/article
dc.date.updated 2018-11-20T08:54:25Z
dc.date.embargoEndDate info:eu-repo/date/embargoEnd/2075-01-01
dc.embargo 2075-01-01
dc.rights.accessRights info:eu-repo/semantics/embargoedAccess
dc.identifier.doi https://doi.org/10.1134/S106377881702003X


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