Wave Functional of the Universe and Time

A version of the quantum theory of gravity based on the concept of the wave functional of the universe is proposed. To determine the physical wave functional, the quantum principle of least action is formulated as a secular equation for the corresponding action operator. Its solution, the wave funct...

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Autores principales: Natalia Gorobey, Alexander Lukyanenko, Alexander V. Goltsev
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Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/e63b2ba1e17c408ab4f1c9a307a5134f
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spelling oai:doaj.org-article:e63b2ba1e17c408ab4f1c9a307a5134f2021-11-25T19:09:55ZWave Functional of the Universe and Time10.3390/universe71104522218-1997https://doaj.org/article/e63b2ba1e17c408ab4f1c9a307a5134f2021-11-01T00:00:00Zhttps://www.mdpi.com/2218-1997/7/11/452https://doaj.org/toc/2218-1997A version of the quantum theory of gravity based on the concept of the wave functional of the universe is proposed. To determine the physical wave functional, the quantum principle of least action is formulated as a secular equation for the corresponding action operator. Its solution, the wave functional, is an invariant of general covariant transformations of spacetime. In the new formulation, the history of the evolution of the universe is described in terms of coordinate time together with arbitrary lapse and shift functions, which makes this description close to the formulation of the principle of general covariance in the classical theory of Einstein’s gravity. In the new formulation of quantum theory, an invariant parameter of the evolutionary time of the universe is defined, which is a generalization of the classical geodesic time measured by a standard clock along time-like geodesics.Natalia GorobeyAlexander LukyanenkoAlexander V. GoltsevMDPI AGarticleuniversewave functionaltimeElementary particle physicsQC793-793.5ENUniverse, Vol 7, Iss 452, p 452 (2021)
institution DOAJ
collection DOAJ
language EN
topic universe
wave functional
time
Elementary particle physics
QC793-793.5
spellingShingle universe
wave functional
time
Elementary particle physics
QC793-793.5
Natalia Gorobey
Alexander Lukyanenko
Alexander V. Goltsev
Wave Functional of the Universe and Time
description A version of the quantum theory of gravity based on the concept of the wave functional of the universe is proposed. To determine the physical wave functional, the quantum principle of least action is formulated as a secular equation for the corresponding action operator. Its solution, the wave functional, is an invariant of general covariant transformations of spacetime. In the new formulation, the history of the evolution of the universe is described in terms of coordinate time together with arbitrary lapse and shift functions, which makes this description close to the formulation of the principle of general covariance in the classical theory of Einstein’s gravity. In the new formulation of quantum theory, an invariant parameter of the evolutionary time of the universe is defined, which is a generalization of the classical geodesic time measured by a standard clock along time-like geodesics.
format article
author Natalia Gorobey
Alexander Lukyanenko
Alexander V. Goltsev
author_facet Natalia Gorobey
Alexander Lukyanenko
Alexander V. Goltsev
author_sort Natalia Gorobey
title Wave Functional of the Universe and Time
title_short Wave Functional of the Universe and Time
title_full Wave Functional of the Universe and Time
title_fullStr Wave Functional of the Universe and Time
title_full_unstemmed Wave Functional of the Universe and Time
title_sort wave functional of the universe and time
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/e63b2ba1e17c408ab4f1c9a307a5134f
work_keys_str_mv AT nataliagorobey wavefunctionaloftheuniverseandtime
AT alexanderlukyanenko wavefunctionaloftheuniverseandtime
AT alexandervgoltsev wavefunctionaloftheuniverseandtime
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