论文标题
Kappa-Minkowski时空的量子因果关系约束
Quantum causality constraints on kappa-Minkowski space-time
论文作者
论文摘要
$κ$ -Minkoswki时空提供了通常的Minkowski时空的量子非交易性信息。但是,在具有非共同时间的这样的空间中很难定义因果关系的概念。在本文中,我们使用Lorentzian非共同几何形状的更一般的框架来定义(1+1)$κ$ -Minkoswki时空的因果关系。我们表明,这个概念允许特定的因果关系,但受到一般约束的限制,该约束是传统光限制速度的量子概括。
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.