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arXiv · 1910.07292

A manifestly covariant framework for causal set dynamics

Fay Dowker·Nazireen Imambaccus·Amelia Owens·Rafael Sorkin·Stav Zalel
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Abstract

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 $\sigma$-algebra generated by the stem sets.

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Fay Dowker, Nazireen Imambaccus, Amelia Owens, Rafael Sorkin, Stav Zalel. 2019-10-16. A manifestly covariant framework for causal set dynamics. https://doi.org/10.1088/1361-6382%2Fab719c

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