Quantum causality constraints on kappa-Minkowski space-time

Nicolas Franco, Jean-Christophe Wallet

Research output: Working paperPreprint


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.
Original languageEnglish
Number of pages24
Publication statusSubmitted - 11 Jan 2022


  • math-ph
  • gr-qc
  • hep-th
  • math.MP
  • 58B34, 53C50, 54F05

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