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http://hdl.handle.net/2289/3615
Title: | On recovering continuum topology from a causal set |
Authors: | Major, Seth A. Rideout, David Surya, Sumati |
Keywords: | quantum gravity space-time configurations topology set theory |
Issue Date: | Mar-2007 |
Publisher: | American Institute of Physics |
Citation: | Journal of Mathematical Physics, 2007, Vol.48, 032501 |
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. |
Description: | Open Access |
URI: | http://hdl.handle.net/2289/3615 |
ISSN: | E-ISSN: 1089-7658 P-ISSN: 0022-2488 |
Alternative Location: | http://dx.doi.org/10.1063/1.2435599 http://arxiv.org/abs/gr-qc/0506133 |
Copyright: | 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. |
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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