Symmetry-breaking and zero-one laws

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/7520

Title:	Symmetry-breaking and zero-one laws
Authors:	Dowker, Fay Sorkin, Rafael D.
Keywords:	discreteness symmetry breaking zero-one law Poisson process causal set quantum gravity
Issue Date:	Aug-2020
Publisher:	IOP Publishing Ltd.
Citation:	Classical and Quantum Gravity, 2020, Vol.37, p155007
Abstract:	We offer further evidence that discreteness of the sort inherent in a causal set cannot, in and of itself, serve to break Poincar{é} invariance. In particular we prove that a Poisson sprinkling of Minkowski spacetime cannot endow spacetime with a distinguished spatial or temporal orientation, or with a distinguished lattice of spacetime points, or with a distinguished lattice of time like directions (corresponding respectively to breaking of reflection-invariance, translation-invariance, and Lorentz invariance). Along the way we provide a proof from first principles of the zero-one law on which our new arguments are based.
Description:	Restricted Access
URI:	http://hdl.handle.net/2289/7520
ISSN:	0264-9381 1361-6382 (Online)
Alternative Location:	https://ui.adsabs.harvard.edu/abs/2019arXiv190906070D/abstract https://arxiv.org/abs/1909.06070 https://doi.org/10.1088/1361-6382/ab81cd
Copyright:	2020 IOP Publishing Ltd.
Appears in Collections:	Research Papers (TP)

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