A natural fuzzyness of de Sitter spacetime

J.-P. Gazeau 1 F. Toppan
APC - UMR 7164 - AstroParticule et Cosmologie, Institut für theoretische Physik
Abstract : 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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Soumis le : dimanche 7 octobre 2012 - 21:45:28
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J.-P. Gazeau, F. Toppan. A natural fuzzyness of de Sitter spacetime. Classical and Quantum Gravity, IOP Publishing, 2010, 27, pp.025004. 〈10.1088/0264-9381/27/2/025004〉. 〈hal-00739324〉



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