Modular Theory, Non-Commutative Geometry and Quantum Gravity
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...
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| Дата: | 2010 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2010
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146505 |
| Теги: |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1465052019-02-10T01:23:41Z Modular Theory, Non-Commutative Geometry and Quantum Gravity Bertozzini, P. Conti, R. Lewkeeratiyutkul, W, 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. 2010 Article 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. 1815-0659 2010 Mathematics Subject Classification: 46L87; 46L51; 46L10; 46M15; 18F99; 58B34; 81R60; 81T05; 83C65 doi:10.3842/SIGMA.2010.067 http://dspace.nbuv.gov.ua/handle/123456789/146505 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Bertozzini, P. Conti, R. Lewkeeratiyutkul, W, |
| spellingShingle |
Bertozzini, P. Conti, R. Lewkeeratiyutkul, W, Modular Theory, Non-Commutative Geometry and Quantum Gravity Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Bertozzini, P. Conti, R. Lewkeeratiyutkul, W, |
| author_sort |
Bertozzini, P. |
| title |
Modular Theory, Non-Commutative Geometry and Quantum Gravity |
| title_short |
Modular Theory, Non-Commutative Geometry and Quantum Gravity |
| title_full |
Modular Theory, Non-Commutative Geometry and Quantum Gravity |
| title_fullStr |
Modular Theory, Non-Commutative Geometry and Quantum Gravity |
| title_full_unstemmed |
Modular Theory, Non-Commutative Geometry and Quantum Gravity |
| title_sort |
modular theory, non-commutative geometry and quantum gravity |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146505 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT bertozzinip modulartheorynoncommutativegeometryandquantumgravity AT contir modulartheorynoncommutativegeometryandquantumgravity AT lewkeeratiyutkulw modulartheorynoncommutativegeometryandquantumgravity |
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2025-07-11T00:08:18Z |
| last_indexed |
2025-07-11T00:08:18Z |
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1837307001515802624 |