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http://hdl.handle.net/2289/3615
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DC Field | Value | Language |
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dc.contributor.author | Major, Seth A. | - |
dc.contributor.author | Rideout, David | - |
dc.contributor.author | Surya, Sumati | - |
dc.date.accessioned | 2008-07-21T11:00:46Z | - |
dc.date.available | 2008-07-21T11:00:46Z | - |
dc.date.issued | 2007-03 | - |
dc.identifier.citation | Journal of Mathematical Physics, 2007, Vol.48, 032501 | en |
dc.identifier.issn | E-ISSN: 1089-7658 | - |
dc.identifier.issn | P-ISSN: 0022-2488 | - |
dc.identifier.uri | http://hdl.handle.net/2289/3615 | - |
dc.description | Open Access | en |
dc.description.abstract | An 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.extent | 426799 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | en |
dc.publisher | American Institute of Physics | en |
dc.relation.uri | http://dx.doi.org/10.1063/1.2435599 | en |
dc.relation.uri | http://arxiv.org/abs/gr-qc/0506133 | en |
dc.rights | 2007 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.subject | quantum gravity | en |
dc.subject | space-time configurations | en |
dc.subject | topology | en |
dc.subject | set theory | en |
dc.title | On recovering continuum topology from a causal set | en |
dc.type | Article | en |
Appears in Collections: | Research Papers (TP) |
Files in This Item:
File | Description | Size | Format | |
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2007 JMP V48 p032501.pdf | Open Access | 416.8 kB | Adobe PDF | View/Open |
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