Title:	Causal set topology
Authors:	Surya, Sumati
Keywords:	Space–time Causality Topology Posets Quantum gravity
Issue Date:	Jun-2008
Publisher:	Elsevier B.V.
Citation:	Theoretical Computer Science, 2008, Vol.405, p188
Abstract:	The Causal Set Theory (CST) approach to quantum gravity is motivated by the observation that, associated with any causal spacetime (M,g) is a poset (M,precedes), with the order relation precedes corresponding to the spacetime causal relation. Spacetime in CST is assumed to have a fundamental atomicity or discreteness, and is replaced by a locally finite poset, the causal set. In order to obtain a well defined continuum approximation, the causal set must possess the requisite intrinsic topological and geometric properties that characterise a continuum spacetime in the large. The study of causal set topology is thus dictated by the nature of the continuum approximation. We review the status of causal set topology and present some new results relating poset and spacetime topologies. The hope is that in the process, some of the ideas and questions arising from CST will be made accessible to the larger community of computer scientists and mathematicians working on posets.
Description:	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI:	http://hdl.handle.net/2289/3679
ISSN:	E-ISSN: 0304-3975 P-ISSN: 0304-3975
Alternative Location:	http://arxiv.org/abs/0712.1648 http://dx.doi.org/10.1016/j.tcs.2008.06.033
Copyright:	2008 Elsevier B.V.
Appears in Collections:	Research Papers (TP)

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