Quantum causality constraints on kappa-Minkowski space-time

Nicolas Franco, Jean-Christophe Wallet

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Abstract

The κ-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 κ-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.

Original languageEnglish
Article number414007
Number of pages23
JournalJournal of Physics A: Mathematical and Theoretical
Volume55
Issue number41
DOIs
Publication statusPublished - 14 Oct 2022

Keywords

  • math-ph
  • gr-qc
  • hep-th
  • math.MP
  • 58B34, 53C50, 54F05
  • noncommutative geometry
  • kappa-Minkowsky
  • causality

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