Exploring the Causal Structures of Almost Commutative Geometries
We investigate the causal relations in the space of states of almost commutative Lorentzian geometries. We fully describe the causal structure of a simple model based on the algebra S(R¹,¹)⊗M₂(C), which has a non-trivial space of internal degrees of freedom. It turns out that the causality condition...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2014 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2014
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146845 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Exploring the Causal Structures of Almost Commutative Geometries / N. Franco, M. Eckstein // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 28 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862576841404973056 |
|---|---|
| author | Franco, N. Eckstein, M. |
| author_facet | Franco, N. Eckstein, M. |
| citation_txt | Exploring the Causal Structures of Almost Commutative Geometries / N. Franco, M. Eckstein // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 28 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We investigate the causal relations in the space of states of almost commutative Lorentzian geometries. We fully describe the causal structure of a simple model based on the algebra S(R¹,¹)⊗M₂(C), which has a non-trivial space of internal degrees of freedom. It turns out that the causality condition imposes restrictions on the motion in the internal space. Moreover, we show that the requirement of causality favours a unitary evolution in the internal space.
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| first_indexed | 2025-11-26T14:35:15Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146845 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T14:35:15Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Franco, N. Eckstein, M. 2019-02-11T17:08:13Z 2019-02-11T17:08:13Z 2014 Exploring the Causal Structures of Almost Commutative Geometries / N. Franco, M. Eckstein // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 28 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 58B34; 53C50; 54F05 DOI:10.3842/SIGMA.2014.010 https://nasplib.isofts.kiev.ua/handle/123456789/146845 We investigate the causal relations in the space of states of almost commutative Lorentzian geometries. We fully describe the causal structure of a simple model based on the algebra S(R¹,¹)⊗M₂(C), which has a non-trivial space of internal degrees of freedom. It turns out that the causality condition imposes restrictions on the motion in the internal space. Moreover, we show that the requirement of causality favours a unitary evolution in the internal space. This paper is a contribution to the Special Issue on Noncommutative Geometry and Quantum Groups in
 honor of Marc A. Rief fel. The full collection is available at http://www.emis.de/journals/SIGMA/Rieffel.html.
 This work was supported by a grant from the John Templeton Foundation. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Exploring the Causal Structures of Almost Commutative Geometries Article published earlier |
| spellingShingle | Exploring the Causal Structures of Almost Commutative Geometries Franco, N. Eckstein, M. |
| title | Exploring the Causal Structures of Almost Commutative Geometries |
| title_full | Exploring the Causal Structures of Almost Commutative Geometries |
| title_fullStr | Exploring the Causal Structures of Almost Commutative Geometries |
| title_full_unstemmed | Exploring the Causal Structures of Almost Commutative Geometries |
| title_short | Exploring the Causal Structures of Almost Commutative Geometries |
| title_sort | exploring the causal structures of almost commutative geometries |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146845 |
| work_keys_str_mv | AT francon exploringthecausalstructuresofalmostcommutativegeometries AT ecksteinm exploringthecausalstructuresofalmostcommutativegeometries |