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| Titre : |
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A natural fuzzyness of de Sitter spacetime |
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| Auteur(s) : |
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J.-P. Gazeau1, F. Toppan |
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| Laboratoire : |
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| équipe(s) de recherche : |
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APC - THEORIE |
| Résumé : |
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A non-commutative structure for de Sitter spacetime is naturally introduced by replacing ('fuzzyfication') the classical variables of the bulk in terms of the dS analogs of the Pauli-Lubanski operators. The dimensionality of the fuzzy variables is determined by a Compton length and the commutative limit is recovered for distances much larger than the Compton distance. The choice of the Compton length determines different scenarios. In scenario I the Compton length is determined by the limiting Minkowski spacetime. A fuzzy dS in scenario I implies a lower bound (of the order of the Hubble mass) for the observed masses of all massive particles (including massive neutrinos) of spin s > 0. In scenario II the Compton length is fixed in the de Sitter spacetime itself and grossly determines the number of finite elements ('pixels' or 'granularity') of a de Sitter spacetime of a given curvature. |
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Langue du texte intégral : |
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Anglais |
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Date de production, écriture : |
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30/06/2009 |
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| Journal : |
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| Classical and Quantum Gravity (Class. Quantum Gravity) |
| Publisher |
Institute of Physics: Hybrid Open Access |
| ISSN |
0264-9381 (eISSN : 1361-6382) |
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| Audience : |
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internationale |
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| Type de publication : |
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Articles dans des revues avec comité de lecture |
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| Date de publication : |
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01/2010 |
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| Volume : |
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27 |
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| Page, identifiant, ... : |
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025004 |
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| Commentaire : |
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16 pages |
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