Title:	Manifold properties from causal sets using chains
Authors:	Kambor, Joachim Nomaan, X
Keywords:	causal sets scalar curvature geometrical reconstruction manifoldlikeness
Issue Date:	Dec-2020
Publisher:	IOP Publishing Ltd.
Citation:	Classical and Quantum Gravity, 2020, Vol.38, p025012
Abstract:	We study the utility of chains defined on causal sets in estimating continuum properties like the curvature, the proper time and the spacetime dimension through a numerical analysis. In particular, we show that in dS2 and FLRW3 spacetimes the formalism of Roy M et al 2013 Phys. Rev. D 87 044046 with slight modifications gives the right continuum properties.We also discuss a possible test of manifoldlikeness using this formalism by considering two models of non-manifoldlike causal sets. This is a part of a broader idea of the geometrical reconstruction of continuum properties given a discrete sub structure, in this case the causal set.
Description:	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI:	http://hdl.handle.net/2289/7615
ISSN:	0264-9381 1361-6382 (Online)
Alternative Location:	https://iopscience.iop.org/article/10.1088/1361-6382/abc8c9 https://doi.org/10.1088/1361-6382/abc8c9 https://arxiv.org/abs/2007.03835#:~:text=Manifold%20Properties%20from%20Causal%20Sets%20using%20Chains%20Joachim,and%20the%20spacetime%20dimension%20through%20a%20numerical%20analysis.
Copyright:	2020 IOP Publishing Ltd.
Appears in Collections:	Research Papers (TP)

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