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Causality in noncommutative two-sheeted space-times
Journal
Journal of Geometry and Physics
25
Author
Franco Nicolas
Eckstein Michał
Volume
96
Pages
42-58
ISSN
0393-0440
eISSN
1879-1662
Keywords in English
noncommutative geometry
causal structures
Lorentzian spectral triples
Language
English
Container language
English
Abstract in English
We investigate the causal structure of two-sheeted space-times using the tools of Lorentzian spectral triples. We show that the noncommutative geometry of these spaces allows for causal relations between the two sheets. The computation is given in detail when the sheet is a 2- or 4-dimensional globally hyperbolic spin manifold. The conclusions are then generalised to a point-dependent distance between the two sheets resulting from the fluctuations of the Dirac operator.
Affiliation
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
cris.lastimport.wos | 2024-04-09T22:18:13Z | |
dc.abstract.en | We investigate the causal structure of two-sheeted space-times using the tools of Lorentzian spectral triples. We show that the noncommutative geometry of these spaces allows for causal relations between the two sheets. The computation is given in detail when the sheet is a 2- or 4-dimensional globally hyperbolic spin manifold. The conclusions are then generalised to a point-dependent distance between the two sheets resulting from the fluctuations of the Dirac operator. | pl |
dc.affiliation | Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego | pl |
dc.contributor.author | Franco, Nicolas | pl |
dc.contributor.author | Eckstein, Michał - 106698 | pl |
dc.date.accessioned | 2015-12-15T12:59:25Z | |
dc.date.available | 2015-12-15T12:59:25Z | |
dc.date.issued | 2015 | pl |
dc.description.physical | 42-58 | pl |
dc.description.publication | 1,1 | pl |
dc.description.volume | 96 | pl |
dc.identifier.doi | 10.1016/j.geomphys.2015.05.008 | pl |
dc.identifier.eissn | 1879-1662 | pl |
dc.identifier.issn | 0393-0440 | pl |
dc.identifier.uri | http://ruj.uj.edu.pl/xmlui/handle/item/18292 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
dc.rights | Dodaję tylko opis bibliograficzny | * |
dc.rights.licence | bez licencji | |
dc.rights.uri | * | |
dc.subject.en | noncommutative geometry | pl |
dc.subject.en | causal structures | pl |
dc.subject.en | Lorentzian spectral triples | pl |
dc.subtype | Article | pl |
dc.title | Causality in noncommutative two-sheeted space-times | pl |
dc.title.journal | Journal of Geometry and Physics | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |