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A natural fuzzyness of de Sitter spacetime
Gazeau J.-P., Toppan F.
Classical and Quantum Gravity 27 (2010) 025004 - http://hal.archives-ouvertes.fr/hal-00739324
Physique/Relativité Générale et Cosmologie Quantique
Physique/Physique des Hautes Energies - Théorie
Physique/Physique mathématique
Mathématiques/Physique mathématique
A natural fuzzyness of de Sitter spacetime
J.-P. Gazeau1, F. Toppan
1 :  APC - UMR 7164 - AstroParticule et Cosmologie
http://www.apc.univ-paris7.fr/
CNRS : UMR7164 – IN2P3 – Observatoire de Paris – Université Paris VII - Paris Diderot – CEA : DSM/IRFU
APC - UMR 7164, Université Paris Diderot, 10 rue Alice Domon et Léonie Duquet, case postale 7020, F-75205 Paris Cedex 13
France
APC - THEORIE
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.
Anglais
30/06/2009

Classical and Quantum Gravity (Class. Quantum Gravity)
Publisher Institute of Physics: Hybrid Open Access
ISSN 0264-9381 (eISSN : 1361-6382)
internationale
Articles dans des revues avec comité de lecture
01/2010
27
025004

16 pages

Lien vers le texte intégral : 
http://fr.arXiv.org/abs/0907.0021