A natural fuzzyness of de Sitter spacetime
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Publication:3406420
DOI10.1088/0264-9381/27/2/025004zbMATH Open1184.83038arXiv0907.0021OpenAlexW3100210242MaRDI QIDQ3406420
Author name not available (Why is that?)
Publication date: 16 February 2010
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/0907.0021
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