Towards the map of quantum gravity

2018
journal article
article
18
dc.abstract.enIn this paper we point out some possible links between different approaches to quantum gravity and theories of the Planck scale physics. In particular, connections between loop quantum gravity, causal dynamical triangulations, Hořava–Lifshitz gravity, asymptotic safety scenario, Quantum Graphity, deformations of relativistic symmetries and nonlinear phase space models are discussed. The main focus is on quantum deformations of the Hypersurface Deformations Algebra and Poincaré algebra, nonlinear structure of phase space, the running dimension of spacetime and nontrivial phase diagram of quantum gravity. We present an attempt to arrange the observed relations in the form of a graph, highlighting different aspects of quantum gravity. The analysis is performed in the spirit of a mind map, which represents the architectural approach to the studied theory, being a natural way to describe the properties of a complex system. We hope that the constructed graphs (maps) will turn out to be helpful in uncovering the global picture of quantum gravity as a particular complex system and serve as a useful guide for the researchers.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.contributor.authorMielczarek, Jakub - 103621 pl
dc.contributor.authorTrześniewski, Tomasz - 106399 pl
dc.date.accessioned2019-03-12T14:01:27Z
dc.date.available2019-03-12T14:01:27Z
dc.date.issued2018pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number6pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume50pl
dc.identifier.articleid68pl
dc.identifier.doi10.1007/s10714-018-2391-3pl
dc.identifier.eissn1572-9532pl
dc.identifier.issn0001-7701pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/70275
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeinne
dc.subject.encausal dynamical triangulationspl
dc.subject.enHorava–Lifshitz gravitypl
dc.subject.enasymptotic safetypl
dc.subject.enloop quantum gravitypl
dc.subject.endeformations of relativistic symmetriespl
dc.subject.enphase diagrampl
dc.subject.enspectral dimensionpl
dc.subtypeArticlepl
dc.titleTowards the map of quantum gravitypl
dc.title.journalGeneral Relativity and Gravitationpl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
In this paper we point out some possible links between different approaches to quantum gravity and theories of the Planck scale physics. In particular, connections between loop quantum gravity, causal dynamical triangulations, Hořava–Lifshitz gravity, asymptotic safety scenario, Quantum Graphity, deformations of relativistic symmetries and nonlinear phase space models are discussed. The main focus is on quantum deformations of the Hypersurface Deformations Algebra and Poincaré algebra, nonlinear structure of phase space, the running dimension of spacetime and nontrivial phase diagram of quantum gravity. We present an attempt to arrange the observed relations in the form of a graph, highlighting different aspects of quantum gravity. The analysis is performed in the spirit of a mind map, which represents the architectural approach to the studied theory, being a natural way to describe the properties of a complex system. We hope that the constructed graphs (maps) will turn out to be helpful in uncovering the global picture of quantum gravity as a particular complex system and serve as a useful guide for the researchers.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
dc.contributor.authorpl
Mielczarek, Jakub - 103621
dc.contributor.authorpl
Trześniewski, Tomasz - 106399
dc.date.accessioned
2019-03-12T14:01:27Z
dc.date.available
2019-03-12T14:01:27Z
dc.date.issuedpl
2018
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
6
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
50
dc.identifier.articleidpl
68
dc.identifier.doipl
10.1007/s10714-018-2391-3
dc.identifier.eissnpl
1572-9532
dc.identifier.issnpl
0001-7701
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/70275
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
inne
dc.subject.enpl
causal dynamical triangulations
dc.subject.enpl
Horava–Lifshitz gravity
dc.subject.enpl
asymptotic safety
dc.subject.enpl
loop quantum gravity
dc.subject.enpl
deformations of relativistic symmetries
dc.subject.enpl
phase diagram
dc.subject.enpl
spectral dimension
dc.subtypepl
Article
dc.titlepl
Towards the map of quantum gravity
dc.title.journalpl
General Relativity and Gravitation
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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