Quantum causality constraints on kappa-Minkowski space-time
Autor: | Franco, Nicolas, Wallet, Jean-Christophe |
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Rok vydání: | 2022 |
Předmět: | |
Zdroj: | J. Phys. A: Math. Theor. 55 (2022) 414007 |
Druh dokumentu: | Working Paper |
DOI: | 10.1088/1751-8121/ac94ab |
Popis: | The $\kappa$-Minkoswki space-time provides a quantum noncommutative-deformation of the usual Minkowski space-time. However, a notion of causality is difficult to be defined in such a space with noncommutative time. In this paper, we define a notion of causality on a (1+1)-dimensional $\kappa$-Minkoswki space-time using the more general framework of Lorentzian noncommutative geometry. We show that this notion allows specific causal relations, but limited by a general constraint which is a quantum generalization of the traditional speed of light limit. Comment: Preliminary version, 24 pages |
Databáze: | arXiv |
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