Modular Theory, Non-Commutative Geometry and Quantum Gravity

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік
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dc.contributor.author	Bertozzini, P.
dc.contributor.author	Conti, R.
dc.contributor.author	Lewkeeratiyutkul, W,
dc.date.accessioned	2019-02-09T19:32:28Z
dc.date.available	2019-02-09T19:32:28Z
dc.date.issued	2010
dc.identifier.citation	Modular 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.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 46L87; 46L51; 46L10; 46M15; 18F99; 58B34; 81R60; 81T05; 83C65
dc.identifier.other	doi:10.3842/SIGMA.2010.067
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146505
dc.description.abstract	This 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.sponsorship	This 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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Modular Theory, Non-Commutative Geometry and Quantum Gravity	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA