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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MDPI AG
2021
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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) |
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universe wave functional time Elementary particle physics QC793-793.5 |
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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 |
_version_ |
1718410251403788288 |