Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure
Motivated by hints of the effective emergent nature of spacetime structure, we formulate a spacetime-free algebraic framework for quantum theory, in which no a priori background geometric structure is required. Such a framework is necessary in order to study the emergence of effective spacetime stru...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2017 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2017
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/148571 |
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| Zitieren: | Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure / M. Raasakka // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 91 назв. — англ. |
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Raasakka, M. 2019-02-18T15:59:33Z 2019-02-18T15:59:33Z 2017 Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure / M. Raasakka // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 91 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81T05; 83C45; 81P10; 81R15; 46L09; 46L53 DOI:10.3842/SIGMA.2017.006 https://nasplib.isofts.kiev.ua/handle/123456789/148571 Motivated by hints of the effective emergent nature of spacetime structure, we formulate a spacetime-free algebraic framework for quantum theory, in which no a priori background geometric structure is required. Such a framework is necessary in order to study the emergence of effective spacetime structure in a consistent manner, without assuming a background geometry from the outset. Instead, the background geometry is conjectured to arise as an effective structure of the algebraic and dynamical relations between observables that are imposed by the background statistics of the system. Namely, we suggest that quantum reference states on an extended observable algebra, the free algebra generated by the observables, may give rise to effective spacetime structures. Accordingly, perturbations of the reference state lead to perturbations of the induced effective spacetime geometry. We initiate the study of these perturbations, and their relation to gravitational phenomena. First and foremost, I would like to thank Carlos AdS/CFT Guedes for introducing me to the algebraic approach to quantum field theory, and for many inspiring discussions in the very early stages of the work. Likewise, I would like to thank Paolo Bertozzini and Roberto Conti for supporting and influencing the development of the ideas in this manuscript. The comments and suggestions by Philipp H¨ohn and Sebastian Steinhaus were very helpful during the preparation of this manuscript. Many thanks also to Miklos L˚angvik, Ted Jacobson and Klaus Fredenhagen for instructive discussions. Furthermore, I would like to express my gratitude to the anonymous referees for their feedback, which helped to improve this manuscript significantly. Finally, I am indebted to Maria Kalimeri for her assistance with the R language, among other things. This work has been generously funded by the Finnish social security system. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure |
| spellingShingle |
Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure Raasakka, M. |
| title_short |
Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure |
| title_full |
Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure |
| title_fullStr |
Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure |
| title_full_unstemmed |
Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure |
| title_sort |
spacetime-free approach to quantum theory and effective spacetime structure |
| author |
Raasakka, M. |
| author_facet |
Raasakka, M. |
| publishDate |
2017 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
Motivated by hints of the effective emergent nature of spacetime structure, we formulate a spacetime-free algebraic framework for quantum theory, in which no a priori background geometric structure is required. Such a framework is necessary in order to study the emergence of effective spacetime structure in a consistent manner, without assuming a background geometry from the outset. Instead, the background geometry is conjectured to arise as an effective structure of the algebraic and dynamical relations between observables that are imposed by the background statistics of the system. Namely, we suggest that quantum reference states on an extended observable algebra, the free algebra generated by the observables, may give rise to effective spacetime structures. Accordingly, perturbations of the reference state lead to perturbations of the induced effective spacetime geometry. We initiate the study of these perturbations, and their relation to gravitational phenomena.
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| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/148571 |
| citation_txt |
Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure / M. Raasakka // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 91 назв. — англ. |
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AT raasakkam spacetimefreeapproachtoquantumtheoryandeffectivespacetimestructure |
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2025-12-07T16:57:07Z |
| last_indexed |
2025-12-07T16:57:07Z |
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1850869418198827008 |