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A manifestly covariant framework for causal set dynamics
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Dowker_2020_Class._Quantum_Grav._37_085003.pdf | Published version | 2.07 MB | Adobe PDF | View/Open |
Title: | A manifestly covariant framework for causal set dynamics |
Authors: | Dowker, F Imambaccus, N Owens, A Sorkin, R Zalel, S |
Item Type: | Journal Article |
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. |
Issue Date: | 23-Apr-2020 |
Date of Acceptance: | 30-Jan-2020 |
URI: | http://hdl.handle.net/10044/1/77786 |
DOI: | 10.1088/1361-6382/ab719c |
ISSN: | 0264-9381 |
Publisher: | IOP Publishing |
Start Page: | 085003 |
End Page: | 085003 |
Journal / Book Title: | Classical and Quantum Gravity |
Volume: | 37 |
Issue: | 8 |
Copyright Statement: | Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence (http://creativecommons.org/licenses/by/3.0). Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. |
Sponsor/Funder: | The Royal Society |
Funder's Grant Number: | APX\R1\180098 |
Keywords: | gr-qc gr-qc hep-th Nuclear & Particles Physics 01 Mathematical Sciences 02 Physical Sciences |
Publication Status: | Published online |
Open Access location: | https://iopscience.iop.org/article/10.1088/1361-6382/ab719c |
Online Publication Date: | 2020-03-19 |
Appears in Collections: | Physics Theoretical Physics Faculty of Natural Sciences |