Related papers: Wave Functional of the Universe and Time

Wave Functional of the Universe and Time

URL: http://arxiv.org/abs/2110.09135v1
Date: Mon, 18 Oct 2021 09:41:59 GMT
Title: Wave Functional of the Universe and Time
Authors: Natalia Gorobey, Alexander Lukyanenko, and A. V. Goltsev
Abstract summary: A version of the quantum theory of gravity based on the concept of the wave functional of the universe is proposed. The history of the evolution of the universe is described in terms of coordinate time together with arbitrary lapse and shift functions.
Score: 62.997667081978825
License: http://creativecommons.org/licenses/by/4.0/
Abstract: 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 space-time. 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 the 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.

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