Fluctuating commutative geometry

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dc.contributor.authorde Albuquerque, L. C.
dc.contributor.authorDeLyra, J. L.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T15:24:14Z
dc.date.available2014-05-20T15:24:14Z
dc.date.issued2003-11-20
dc.description.abstractWe use the framework of noncommutative geometry to define a discrete model for fluctuating geometry. Instead of considering ordinary geometry and its metric fluctuations, we consider generalized geometries where topology and dimension can also fluctuate. The model describes the geometry of spaces with a countable number n of points. The spectral principle of Connes and Chamseddine is used to define dynamics. We show that this simple model has two phases. The expectation value <n>, the average number of points in the universe, is finite in one phase and diverges in the other. Moreover, the dimension delta is a dynamical observable in our model, and plays the role of an order parameter. The computation of <delta> is discussed and an upper bound is found, <delta> < 2. We also address another discrete model defined on a fixed d = 1 dimension, where topology fluctuates. We comment on a possible spontaneous localization of topology.en
dc.description.affiliationUniv Estadual Paulista, CEETEPS, DEG, Fac Tecnol São Paulo, BR-01124060 São Paulo, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, CEETEPS, DEG, Fac Tecnol São Paulo, BR-01124060 São Paulo, SP, Brazil
dc.format.extent2517-2524
dc.identifierhttp://dx.doi.org/10.1142/S0217732303012763
dc.identifier.citationModern Physics Letters A. Singapore: World Scientific Publ Co Pte Ltd, v. 18, n. 33-35, p. 2517-2524, 2003.
dc.identifier.doi10.1142/S0217732303012763
dc.identifier.issn0217-7323
dc.identifier.urihttp://hdl.handle.net/11449/34882
dc.identifier.wosWOS:000186856100027
dc.language.isoeng
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofModern Physics Letters A
dc.relation.ispartofjcr1.308
dc.relation.ispartofsjr0,650
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectquantum gravitypt
dc.subjectnoncommutative geometrypt
dc.subjectrandom matrix theorypt
dc.titleFluctuating commutative geometryen
dc.typeArtigo
dcterms.licensehttp://www.worldscientific.com/page/authors/author-rights
dcterms.rightsHolderWorld Scientific Publ Co Pte Ltd

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