Quantum Cosmology with Third Quantisation

We reviewed the canonical quantisation of the geometry of the spacetime in the cases of a simply and a non-simply connected manifold. In the former, we analysed the information contained in the solutions of the Wheeler–DeWitt equation and showed their interpretation in terms of the customary boundar...

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Autor principal:	Salvador J. Robles-Pérez
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	quantum cosmology multiverse superspace third quantisation universe–antiuniverse pair Elementary particle physics QC793-793.5
Acceso en línea:	https://doaj.org/article/257fa386859b4f65868a181083bc0105
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spelling	oai:doaj.org-article:257fa386859b4f65868a181083bc01052021-11-25T19:09:30ZQuantum Cosmology with Third Quantisation10.3390/universe71104042218-1997https://doaj.org/article/257fa386859b4f65868a181083bc01052021-10-01T00:00:00Zhttps://www.mdpi.com/2218-1997/7/11/404https://doaj.org/toc/2218-1997We reviewed the canonical quantisation of the geometry of the spacetime in the cases of a simply and a non-simply connected manifold. In the former, we analysed the information contained in the solutions of the Wheeler–DeWitt equation and showed their interpretation in terms of the customary boundary conditions that are typically imposed on the semiclassical wave functions. In particular, we reviewed three different paradigms for the quantum creation of a homogeneous and isotropic universe. For the quantisation of a non-simply connected manifold, the best framework is the third quantisation formalism, in which the wave function of the universe is seen as a field that propagates in the space of Riemannian 3-geometries, which turns out to be isomorphic to a (part of a) 1 + 5 Minkowski spacetime. Thus, the quantisation of the wave function follows the customary formalism of a quantum field theory. A general review of the formalism is given, and the creation of the universes is analysed, including their initial expansion and the appearance of matter after inflation. These features are presented in more detail in the case of a homogeneous and isotropic universe. The main conclusion in both cases is that the most natural way in which the universes should be created is in entangled universe–antiuniverse pairs.Salvador J. Robles-PérezMDPI AGarticlequantum cosmologymultiversesuperspacethird quantisationuniverse–antiuniverse pairElementary particle physicsQC793-793.5ENUniverse, Vol 7, Iss 404, p 404 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	quantum cosmology multiverse superspace third quantisation universe–antiuniverse pair Elementary particle physics QC793-793.5
spellingShingle	quantum cosmology multiverse superspace third quantisation universe–antiuniverse pair Elementary particle physics QC793-793.5 Salvador J. Robles-Pérez Quantum Cosmology with Third Quantisation
description	We reviewed the canonical quantisation of the geometry of the spacetime in the cases of a simply and a non-simply connected manifold. In the former, we analysed the information contained in the solutions of the Wheeler–DeWitt equation and showed their interpretation in terms of the customary boundary conditions that are typically imposed on the semiclassical wave functions. In particular, we reviewed three different paradigms for the quantum creation of a homogeneous and isotropic universe. For the quantisation of a non-simply connected manifold, the best framework is the third quantisation formalism, in which the wave function of the universe is seen as a field that propagates in the space of Riemannian 3-geometries, which turns out to be isomorphic to a (part of a) 1 + 5 Minkowski spacetime. Thus, the quantisation of the wave function follows the customary formalism of a quantum field theory. A general review of the formalism is given, and the creation of the universes is analysed, including their initial expansion and the appearance of matter after inflation. These features are presented in more detail in the case of a homogeneous and isotropic universe. The main conclusion in both cases is that the most natural way in which the universes should be created is in entangled universe–antiuniverse pairs.
format	article
author	Salvador J. Robles-Pérez
author_facet	Salvador J. Robles-Pérez
author_sort	Salvador J. Robles-Pérez
title	Quantum Cosmology with Third Quantisation
title_short	Quantum Cosmology with Third Quantisation
title_full	Quantum Cosmology with Third Quantisation
title_fullStr	Quantum Cosmology with Third Quantisation
title_full_unstemmed	Quantum Cosmology with Third Quantisation
title_sort	quantum cosmology with third quantisation
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/257fa386859b4f65868a181083bc0105
work_keys_str_mv	AT salvadorjroblesperez quantumcosmologywiththirdquantisation
_version_	1718410203570896896

Quantum Cosmology with Third Quantisation

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