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...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2017 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2017
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148571 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862706072124391424 |
|---|---|
| author | Raasakka, M. |
| author_facet | Raasakka, M. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T16:57:07Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148571 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:57:07Z |
| publishDate | 2017 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure Raasakka, M. |
| title | 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_short | Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure |
| title_sort | spacetime-free approach to quantum theory and effective spacetime structure |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148571 |
| work_keys_str_mv | AT raasakkam spacetimefreeapproachtoquantumtheoryandeffectivespacetimestructure |