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Initial State in Quantum Cosmology and the Proper Mass of the Universe
Version 1
: Received: 13 August 2024 / Approved: 14 August 2024 / Online: 16 August 2024 (03:40:01 CEST)
How to cite: Gorobey, N.; Lukyanenko, A.; Goltsev, A. V. Initial State in Quantum Cosmology and the Proper Mass of the Universe. Preprints 2024, 2024081097. https://doi.org/10.20944/preprints202408.1097.v1 Gorobey, N.; Lukyanenko, A.; Goltsev, A. V. Initial State in Quantum Cosmology and the Proper Mass of the Universe. Preprints 2024, 2024081097. https://doi.org/10.20944/preprints202408.1097.v1
Abstract
In the Euclidean form of the theory of gravity, where there is no dedicated time parameter, a generalized canonical form of the principle of least action is proposed. On its basis, the quantum principle of least action is formulated, in which the “dynamics” of the universe in the Origin is described by the eigenvector of the action operator - the wave functional on the space of 4D Riemannian geometries and configurations of matter fields in some compact region of 4D space. The corresponding eigenvalue of the action operator determines the initial state for the world history of the universe outside this region, where the metric signature is Lorentzian and thus the time parameter exists. The boundary of the Origin region is determined by the condition that the rate of change of the determinant of the 3D metric tensor is zero on it. A modification of quantum theory is proposed that eliminates the uncertainty of the sign of the Hilbert-Einstein action in the Euclidean region of the Origin. On this basis, we formulate a minimum principle for the eigenvalue of the action operator, similar to the principle of minimum energy for the ground state in quantum mechanics. It has been suggested that in the initial state the universe contains a certain distribution of its own mass, which is not directly related to the fields of matter.
Keywords
universe; time; own mass; quantum action; generalized Legendre transformation
Subject
Physical Sciences, Theoretical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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