A manifestly covariant framework for causal set dynamics
A manifestly covariant framework for causal set dynamics
复制标题
因果集动力学的明显协变框架
DOI：
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发表时间：
2019
影响因子：
3.5
通讯作者：
S. Zalel
中科院分区：
文献类型：
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作者：
Fay Dowker;Nazireen Imambaccus;A. Owens;R. Sorkin;S. Zalel
我们提出了一个明确的因果集动力学协变框架。该框架是基于一个结构，被称为covtree，这是一个偏序的某些集合的有限，未标记的因果集。我们证明了covtree中的每一条无限路径都对应于至少一个无限的未标记因果集。我们证明了covtree上经典随机游动的转移概率在由干集生成的-代数上引起经典测度。
We propose a manifestly covariant framework for causal set dynamics. The framework is based on a structure, dubbed covtree, which is a partial order on certain sets of finite, unlabeled causal sets. We show that every infinite path in covtree corresponds to at least one infinite, unlabeled causal set. We show that transition probabilities for a classical random walk on covtree induce a classical measure on the -algebra generated by the stem sets.