# Quantum causality constraints on kappa-Minkowski space-time

Nicolas Franco, Jean-Christophe Wallet

Research output: Working paperPreprint

## Abstract

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 language English 24 Submitted - 11 Jan 2022

## Keywords

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