A manifestly covariant framework for causal set dynamics
General Relativity and Quantum Cosmology
2020-03-27 v2 High Energy Physics - Theory
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 -algebra generated by the stem sets.
Cite
@article{arxiv.1910.07292,
title = {A manifestly covariant framework for causal set dynamics},
author = {Fay Dowker and Nazireen Imambaccus and Amelia Owens and Rafael Sorkin and Stav Zalel},
journal= {arXiv preprint arXiv:1910.07292},
year = {2020}
}
Comments
32 pages, 12 figures