关于测度间的因果关系和$K$ -因果关系
On the causality and $K$-causality between measures
摘要：
借鉴我们早期的工作的概念的因果关系的非局部现象，我们提出和研究的Sorkin-Woolgar关系$K^+$到空间上的Borel概率测度在一个给定的时空。我们表明，它保留了其基本性质的传递性和封闭性。此外，我们列出并证明了这种关系的几个特征，包括“非本地”模拟的表征$K^+$的时间函数。这推广和蒙上新的光，我们以前的结果有关的因果关系之间的优先关系$J^+$措施。
英文摘要：
Drawing from our earlier works on the notion of causality for nonlocal phenomena, we propose and study the extension of the Sorkin--Woolgar relation $K^+$ onto the space of Borel probability measures on a given spacetime. We show that it retains its fundamental properties of transitivity and closedness. Furthermore, we list and prove several characterizations of this relation, including the `nonlocal' analogue of the characterization of $K^+$ in terms of time functions. This generalizes and casts new light on our earlier results concerning the causal precedence relation $J^+$ between measures.
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