Modular Theory, Non-Commutative Geometry and Quantum Gravity

dc.contributor.authorBertozzini, P.
dc.contributor.authorConti, R.
dc.contributor.authorLewkeeratiyutkul, W,
dc.date.accessioned2019-02-09T19:32:28Z
dc.date.available2019-02-09T19:32:28Z
dc.date.issued2010
dc.description.abstractThis paper contains the first written exposition of some ideas (announced in a previous survey) on an approach to quantum gravity based on Tomita-Takesaki modular theory and A. Connes non-commutative geometry aiming at the reconstruction of spectral geometries from an operational formalism of states and categories of observables in a covariant theory. Care has been taken to provide a coverage of the relevant background on modular theory, its applications in non-commutative geometry and physics and to the detailed discussion of the main foundational issues raised by the proposal.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue “Noncommutative Spaces and Fields”. The full collection is available at http://www.emis.de/journals/SIGMA/noncommutative.html. P.B. wishes to thank C. Rovelli at CPT in Marseille, J. Barrett at the QG2 -2008 conference at the university of Nottingham and S.J. Summers at the university of Florida in Gainesville, for the opportunities to discuss some of the ideas and of fer seminars exposing most of the original material here presented, in May, July 2008 and in April 2009. We thank one of the anonymous referees of the paper for pointing out some missing referenceson modular localization and on the algebraic proof of Bisognano–Wichmann theorem based onscattering theory in Section 3.uk_UA
dc.identifier.citationModular Theory, Non-Commutative Geometry and Quantum Gravity / P. Bertozzini, R. Conti, W. Lewkeeratiyutkul // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 260 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 46L87; 46L51; 46L10; 46M15; 18F99; 58B34; 81R60; 81T05; 83C65
dc.identifier.otherdoi:10.3842/SIGMA.2010.067
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146505
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleModular Theory, Non-Commutative Geometry and Quantum Gravityuk_UA
dc.typeArticleuk_UA

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