Reassessing the problem of time of quantum gravity

In this paper I raise a worry about the most extended resolutions of the problem of time of canonical quantizations of general relativity. The reason for this is that these resolutions are based on analogies with deparametrizable models for which the problem can be solved, while I argue in this pape...

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Autor: Mozota Frauca, Álvaro|||0000-0002-7715-0563
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:270855
Acceso en línea:https://ddd.uab.cat/record/270855
https://dx.doi.org/urn:doi:10.1007/s10714-023-03067-x
Access Level:acceso abierto
Palabra clave:Quantum gravity
Problem of time
General relativity
Canonical quantization
Constrained systems
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spelling Reassessing the problem of time of quantum gravityMozota Frauca, Álvaro|||0000-0002-7715-0563Quantum gravityProblem of timeGeneral relativityCanonical quantizationConstrained systemsIn this paper I raise a worry about the most extended resolutions of the problem of time of canonical quantizations of general relativity. The reason for this is that these resolutions are based on analogies with deparametrizable models for which the problem can be solved, while I argue in this paper that there are good reasons for doubting about these resolutions when the theory is not deparametrizable, which is the case of general relativity. I introduce an example of a non-deparametrizable model, a double harmonic oscillator system expressed by its Jacobi action, and argue that the problem of time for this model is not solvable, in the sense that its canonical quantization doesn't lead to the quantum theory of two harmonic oscillators and the standard resolutions of the problem of time don't work for this case. I argue that as general relativity is strongly analogous to this model, one should take seriously the view that the canonical quantization of general relativity doesn't lead to a meaningful quantum theory. Finally, I comment that this has an impact on the foundations of different approaches to quantum gravity. 22023-01-0120232023-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/270855https://dx.doi.org/urn:doi:10.1007/s10714-023-03067-xreponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengEuropean Commission https://doi.org/10.13039/501100000780 758145Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2019-108762GB-I00open accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2708552026-06-06T12:50:31Z
dc.title.none.fl_str_mv Reassessing the problem of time of quantum gravity
title Reassessing the problem of time of quantum gravity
spellingShingle Reassessing the problem of time of quantum gravity
Mozota Frauca, Álvaro|||0000-0002-7715-0563
Quantum gravity
Problem of time
General relativity
Canonical quantization
Constrained systems
title_short Reassessing the problem of time of quantum gravity
title_full Reassessing the problem of time of quantum gravity
title_fullStr Reassessing the problem of time of quantum gravity
title_full_unstemmed Reassessing the problem of time of quantum gravity
title_sort Reassessing the problem of time of quantum gravity
dc.creator.none.fl_str_mv Mozota Frauca, Álvaro|||0000-0002-7715-0563
author Mozota Frauca, Álvaro|||0000-0002-7715-0563
author_facet Mozota Frauca, Álvaro|||0000-0002-7715-0563
author_role author
dc.subject.none.fl_str_mv Quantum gravity
Problem of time
General relativity
Canonical quantization
Constrained systems
topic Quantum gravity
Problem of time
General relativity
Canonical quantization
Constrained systems
description In this paper I raise a worry about the most extended resolutions of the problem of time of canonical quantizations of general relativity. The reason for this is that these resolutions are based on analogies with deparametrizable models for which the problem can be solved, while I argue in this paper that there are good reasons for doubting about these resolutions when the theory is not deparametrizable, which is the case of general relativity. I introduce an example of a non-deparametrizable model, a double harmonic oscillator system expressed by its Jacobi action, and argue that the problem of time for this model is not solvable, in the sense that its canonical quantization doesn't lead to the quantum theory of two harmonic oscillators and the standard resolutions of the problem of time don't work for this case. I argue that as general relativity is strongly analogous to this model, one should take seriously the view that the canonical quantization of general relativity doesn't lead to a meaningful quantum theory. Finally, I comment that this has an impact on the foundations of different approaches to quantum gravity.
publishDate 2023
dc.date.none.fl_str_mv 2
2023-01-01
2023
2023-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
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format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/270855
https://dx.doi.org/urn:doi:10.1007/s10714-023-03067-x
url https://ddd.uab.cat/record/270855
https://dx.doi.org/urn:doi:10.1007/s10714-023-03067-x
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv European Commission https://doi.org/10.13039/501100000780 758145
Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2019-108762GB-I00
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
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eu_rights_str_mv openAccess
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instname:Universitat Autònoma de Barcelona
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