离散时空：一个链网
Discrete Spacetime: a Web of Chains
摘要：
本文研究了因果集上链的分布和最大链长的分布。首先，我们提供了一个新的推导这些分布的因果集均匀嵌入在闵可夫斯基空间，为各种维度，其中包括一个纠正以前可用的表达式。数值模拟的结果表明，改进的理论分布更好的协议。作为这些分布的应用程序的例子，然后我们扩大我们以前的工作，关于他们的使用，建立因果集是否是manifoldlike，如果是，找到它的维数。然后，我们比较这种措施的尺寸与文献中的其他方法。
英文摘要：
This paper studies the distribution of chain and maximal chain lengths in a causal set. We first provide a new derivation for these distributions for a causal set uniformly embedded in Minkowski space, for various dimensionalities, which includes a correction to previously available expressions. Results of numerical simulations show a better agreement with the improved theoretical distributions. As examples of applications of those distributions, we then expand on previous work of ours regarding their use in establishing whether a causal set is manifoldlike and, if it is, finding its dimensionality. We then compare this measure of the dimension with other methods in the literature.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
