Exploring the Causal Structures of Almost Commutative Geometries

Nicolas Franco, Michał Eckstein

Résultats de recherche: Contribution à un journal/une revueArticle

Résumé

We investigate the causal relations in the space of states of almost commutative Lorentzian geometries. We fully describe the causal structure of a simple model based on the algebra $\mathcal{S}(\mathbb{R}^{1,1}) \otimes M_2(\mathbb{C})$, which has a non-trivial space of internal degrees of freedom. It turns out that the causality condition imposes restrictions on the motion in the internal space. Moreover, we show that the requirement of causality favours a unitary evolution in the internal space.
langue originaleFrançais
Nombre de pages23
journalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume10
Numéro de publication010
Les DOIs
étatPublié - 28 janv. 2014

mots-clés

  • noncommutative geometry
  • causal structures

Citer ceci

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Exploring the Causal Structures of Almost Commutative Geometries. / Franco, Nicolas; Eckstein, Michał.

Dans: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Vol 10, Numéro 010, 28.01.2014.

Résultats de recherche: Contribution à un journal/une revueArticle

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AB - We investigate the causal relations in the space of states of almost commutative Lorentzian geometries. We fully describe the causal structure of a simple model based on the algebra $\mathcal{S}(\mathbb{R}^{1,1}) \otimes M_2(\mathbb{C})$, which has a non-trivial space of internal degrees of freedom. It turns out that the causality condition imposes restrictions on the motion in the internal space. Moreover, we show that the requirement of causality favours a unitary evolution in the internal space.

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JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

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