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Exploring the Causal Structures of Almost Commutative Geometries
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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| dc.contributor.author | Franco, N. | |
| dc.contributor.author | Eckstein, M. | |
| dc.date.accessioned | 2019-02-11T17:08:13Z | |
| dc.date.available | 2019-02-11T17:08:13Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 58B34; 53C50; 54F05 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2014.010 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146845 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | 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. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Exploring the Causal Structures of Almost Commutative Geometries | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
