Causality in noncommutative two-sheeted space-times

Nicolas Franco; Michał Eckstein

doi:10.1016/j.geomphys.2015.05.008

Causality in noncommutative two-sheeted space-times

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Résumé

We investigate the causal structure of two-sheeted space-times using the tools of Lorentzian spectral triples. We show that the noncommutative geometry of these spaces allows for causal relations between the two sheets. The computation is given in detail when the sheet is a 2- or 4-dimensional globally hyperbolic spin manifold. The conclusions are then generalised to a point-dependent distance between the two sheets resulting from the fluctuations of the Dirac operator.

langue originale	Anglais
Pages (de - à)	42-58
Nombre de pages	17
journal	Journal of Geometry and Physics
Volume	96
Date de mise en ligne précoce	6 juin 2015
Les DOIs	https://doi.org/10.1016/j.geomphys.2015.05.008
Etat de la publication	Publié - 1 oct. 2015
Modification externe	Oui

Accès au document

10.1016/j.geomphys.2015.05.008

http://arxiv.org/abs/1502.04683

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abstract = "We investigate the causal structure of two-sheeted space-times using the tools of Lorentzian spectral triples. We show that the noncommutative geometry of these spaces allows for causal relations between the two sheets. The computation is given in detail when the sheet is a 2- or 4-dimensional globally hyperbolic spin manifold. The conclusions are then generalised to a point-dependent distance between the two sheets resulting from the fluctuations of the Dirac operator.",

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Causality in noncommutative two-sheeted space-times

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