Von Neumann’s quantization of general relativityстатья
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Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 10 августа 2018 г.
Авторы:
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.
Журнал:
Physics of Atomic Nuclei
Том:
80
Номер:
3
Год издания:
2017
Издательство:
Pleiades Publishing, Ltd
Местоположение издательства:
Road Town, United Kingdom
Первая страница:
491
Последняя страница:
504
DOI:
10.1134/S106377881702003X
Аннотация:
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.
Добавил в систему:
Арбузов Андрей Борисович