Wave Functional of the Universe and Time
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 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 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 timelike geodesics.
 Publication:

Universe
 Pub Date:
 November 2021
 DOI:
 10.3390/universe7110452
 arXiv:
 arXiv:2110.09135
 Bibcode:
 2021Univ....7..452G
 Keywords:

 General Relativity and Quantum Cosmology;
 Quantum Physics
 EPrint:
 6 pages