Loop quantum cosmology and singularities

Abstract Loop quantum gravity is believed to eliminate singularities such as the big bang and big crunch singularity. This belief is based on studies of so-called loop quantum cosmology which concerns symmetry-reduced models of quantum gravity. In this paper, the problem of singularities is analysed...

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Autor principal:	Ward Struyve
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/004c747184ac46a885e04b016a808d91
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spelling	oai:doaj.org-article:004c747184ac46a885e04b016a808d912021-12-02T15:06:28ZLoop quantum cosmology and singularities10.1038/s41598-017-06616-y2045-2322https://doaj.org/article/004c747184ac46a885e04b016a808d912017-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-06616-yhttps://doaj.org/toc/2045-2322Abstract Loop quantum gravity is believed to eliminate singularities such as the big bang and big crunch singularity. This belief is based on studies of so-called loop quantum cosmology which concerns symmetry-reduced models of quantum gravity. In this paper, the problem of singularities is analysed in the context of the Bohmian formulation of loop quantum cosmology. In this formulation there is an actual metric in addition to the wave function, which evolves stochastically (rather than deterministically as the case of the particle evolution in non-relativistic Bohmian mechanics). Thus a singularity occurs whenever this actual metric is singular. It is shown that in the loop quantum cosmology for a homogeneous and isotropic Friedmann-Lemaître-Robertson-Walker space-time with arbitrary constant spatial curvature and cosmological constant, coupled to a massless homogeneous scalar field, a big bang or big crunch singularity is never obtained. This should be contrasted with the fact that in the Bohmian formulation of the Wheeler-DeWitt theory singularities may exist.Ward StruyveNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-10 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Ward Struyve Loop quantum cosmology and singularities
description	Abstract Loop quantum gravity is believed to eliminate singularities such as the big bang and big crunch singularity. This belief is based on studies of so-called loop quantum cosmology which concerns symmetry-reduced models of quantum gravity. In this paper, the problem of singularities is analysed in the context of the Bohmian formulation of loop quantum cosmology. In this formulation there is an actual metric in addition to the wave function, which evolves stochastically (rather than deterministically as the case of the particle evolution in non-relativistic Bohmian mechanics). Thus a singularity occurs whenever this actual metric is singular. It is shown that in the loop quantum cosmology for a homogeneous and isotropic Friedmann-Lemaître-Robertson-Walker space-time with arbitrary constant spatial curvature and cosmological constant, coupled to a massless homogeneous scalar field, a big bang or big crunch singularity is never obtained. This should be contrasted with the fact that in the Bohmian formulation of the Wheeler-DeWitt theory singularities may exist.
format	article
author	Ward Struyve
author_facet	Ward Struyve
author_sort	Ward Struyve
title	Loop quantum cosmology and singularities
title_short	Loop quantum cosmology and singularities
title_full	Loop quantum cosmology and singularities
title_fullStr	Loop quantum cosmology and singularities
title_full_unstemmed	Loop quantum cosmology and singularities
title_sort	loop quantum cosmology and singularities
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/004c747184ac46a885e04b016a808d91
work_keys_str_mv	AT wardstruyve loopquantumcosmologyandsingularities
_version_	1718388428139134976

Loop quantum cosmology and singularities

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