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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/3615
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dc.contributor.authorMajor, Seth A.-
dc.contributor.authorRideout, David-
dc.contributor.authorSurya, Sumati-
dc.date.accessioned2008-07-21T11:00:46Z-
dc.date.available2008-07-21T11:00:46Z-
dc.date.issued2007-03-
dc.identifier.citationJournal of Mathematical Physics, 2007, Vol.48, 032501en
dc.identifier.issnE-ISSN: 1089-7658-
dc.identifier.issnP-ISSN: 0022-2488-
dc.identifier.urihttp://hdl.handle.net/2289/3615-
dc.descriptionOpen Accessen
dc.description.abstractAn important question that discrete approaches to quantum gravity must address is how continuum features of space-time can be recovered from the discrete substructure. Here, we examine this question within the causal set approach to quantum gravity, where the substructure replacing the space-time continuum is a locally finite partial order. A new topology on causal sets using “thickened antichains” is constructed. This topology is then used to recover the homology of a globally hyperbolic space-time from a causal set which faithfully embeds into it at sufficiently high sprinkling density. This implies a discrete-continuum correspondence which lends support to the fundamental conjecture or “Hauptvermutung” of causal set theory.en
dc.format.extent426799 bytes-
dc.format.mimetypeapplication/pdf-
dc.language.isoenen
dc.publisherAmerican Institute of Physicsen
dc.relation.urihttp://dx.doi.org/10.1063/1.2435599en
dc.relation.urihttp://arxiv.org/abs/gr-qc/0506133en
dc.rights2007 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.en
dc.subjectquantum gravityen
dc.subjectspace-time configurationsen
dc.subjecttopologyen
dc.subjectset theoryen
dc.titleOn recovering continuum topology from a causal seten
dc.typeArticleen
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