Causal set topology

Surya, Sumati

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/3679

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DC Field	Value	Language
dc.contributor.author	Surya, Sumati	-
dc.date.accessioned	2008-12-05T10:40:16Z	-
dc.date.available	2008-12-05T10:40:16Z	-
dc.date.issued	2008-06	-
dc.identifier.citation	Theoretical Computer Science, 2008, Vol.405, p188	en
dc.identifier.issn	E-ISSN: 0304-3975	-
dc.identifier.issn	P-ISSN: 0304-3975	-
dc.identifier.uri	http://hdl.handle.net/2289/3679	-
dc.description	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)	en
dc.description.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.	en
dc.language.iso	en	en
dc.publisher	Elsevier B.V.	en
dc.relation.uri	http://arxiv.org/abs/0712.1648	en
dc.relation.uri	http://dx.doi.org/10.1016/j.tcs.2008.06.033	en
dc.rights	2008 Elsevier B.V.	en
dc.subject	Space–time	en
dc.subject	Causality	en
dc.subject	Topology	en
dc.subject	Posets	en
dc.subject	Quantum gravity	en
dc.title	Causal set topology	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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