Time and its arrow from quantum geometrodynamics?

Fuente: arXiv
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Autores principales: Kiefer, Claus, Chataignier, Leonardo, Tyagi, Mritunjay
Formato: Preprint
Publicado: 2024
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author Kiefer, Claus
Chataignier, Leonardo
Tyagi, Mritunjay
author_facet Kiefer, Claus
Chataignier, Leonardo
Tyagi, Mritunjay
contents We discuss how quantum geometrodynamics, a conservative approach to quantum gravity, might explain the emergence of classical spacetime and, with it, the emergence of classical time and its arrow from the universal quantum state. This follows from a particular but reasonable choice of boundary condition motivated by the structure of the Hamiltonian of the theory. This condition can also be seen as defining a quantum version of Penrose's Weyl curvature hypothesis. We comment on the relation of this picture to the `past hypothesis' and the different observed arrows of time, and we consider how quantum geometrodynamics could serve as a unifying and more fundamental framework to explain these observations.
format Preprint
id arxiv_https___arxiv_org_abs_2407_01727
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Time and its arrow from quantum geometrodynamics?
Kiefer, Claus
Chataignier, Leonardo
Tyagi, Mritunjay
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Quantum Physics
We discuss how quantum geometrodynamics, a conservative approach to quantum gravity, might explain the emergence of classical spacetime and, with it, the emergence of classical time and its arrow from the universal quantum state. This follows from a particular but reasonable choice of boundary condition motivated by the structure of the Hamiltonian of the theory. This condition can also be seen as defining a quantum version of Penrose's Weyl curvature hypothesis. We comment on the relation of this picture to the `past hypothesis' and the different observed arrows of time, and we consider how quantum geometrodynamics could serve as a unifying and more fundamental framework to explain these observations.
title Time and its arrow from quantum geometrodynamics?
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
Quantum Physics
url https://arxiv.org/abs/2407.01727