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Эта публикация цитируется в 14 научных статьях (всего в 14 статьях)
Modular Theory, Non-Commutative Geometry and Quantum Gravity
Paolo Bertozzinia, Roberto Contib, Wicharn Lewkeeratiyutkulc a Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathumthani 12121, Thailand
b Dipartimento di Scienze, Università di Chieti-Pescara "G. D’Annunzio", Viale Pindaro 42, I-65127 Pescara, Italy
c Department of Mathematics, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand
Аннотация:
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.
Ключевые слова:
modular theory; non-commutative geometry; spectral triple; category theory; quantum physics; space-time.
Поступила: 30 марта 2010 г.; в окончательном варианте 26 июля 2010 г.; опубликована 19 августа 2010 г.
Образец цитирования:
Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul, “Modular Theory, Non-Commutative Geometry and Quantum Gravity”, SIGMA, 6 (2010), 067, 47 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma524 https://www.mathnet.ru/rus/sigma/v6/p67
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