A manifestly covariant framework for causal set dynamics

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 se...

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Bibliographic Details
Published in:Classical and quantum gravity 2020-04, Vol.37 (8), p.85003
Main Authors: Dowker, Fay, Imambaccus, Nazireen, Owens, Amelia, Sorkin, Rafael, Zalel, Stav
Format: Article
Language:English
Subjects:
causal sets
general covariance
quantum gravity
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Summary: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.
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/ab719c