论文标题
Covtree的结构：搜索明显的协变量因果集合动力学
The structure of covtree: searching for manifestly covariant causal set dynamics
论文作者
论文摘要
Covtree-在某些有限的，未标记的因果关系集上的部分顺序 - 是因果集合动力学的显然协变框架。在这里，作为挑选一类物理动机的Covtree动力学的第一步，我们研究了Covtree的结构及其路径之间的关系及其相应的无标记的无标记的因果集。我们确定与柱子和断裂相对应的路径，证明Covtree具有自相似的结构，并写下类似于Rideout的宇宙重新分析和Sorkin的经典顺序增长模型的Covtree动力学之间的转换。我们确定与具有独特自然标记的因果集对应的路径，从而解决了具有单位概率的这些因果集的动力学类别。
Covtree - a partial order on certain sets of finite, unlabeled causal sets - is a manifestly covariant framework for causal set dynamics. Here, as a first step in picking out a class of physically well-motivated covtree dynamics, we study the structure of covtree and the relationship between its paths and their corresponding infinite unlabeled causal sets. We identify the paths which correspond to posts and breaks, prove that covtree has a self-similar structure, and write down a transformation between covtree dynamics akin to the cosmic renormalisation of Rideout and Sorkin's Classical Sequential Growth models. We identify the paths which correspond to causal sets which have a unique natural labeling, thereby solving for the class of dynamics which give rise to these causal sets with unit probability.
