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Nota de FísicaPublicado

A natural fuzzyness of de Sitter space-time

Jean-Pierre Gazeau

Dados da publicação

Autores
Jean-Pierre Gazeau
Tipo
Nota de Física
Status
Publicado
Data de publicação
10/08/2009
Descrição
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.
Ano
2009
Vínculo com tese
Não
Vínculo com bolsa
Não
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