Please use this identifier to cite or link to this item:
Title: Spatial hypersurfaces in causal set cosmology
Authors: Major, Seth A.
Rideout, David
Surya, Sumati
Issue Date: 21-Jul-2006
Publisher: The IOP Publishing Ltd.
Citation: Classical and Quantum Gravity, 2006, Vol.23 p4743-4751
Abstract: Within the causal set approach to quantum gravity, a discrete analogue of a spacelike region is a set of unrelated elements, or an antichain. In the continuum approximation of the theory, a moment-of-time hypersurface is well represented by an inextendible antichain. We construct a richer structure corresponding to a thickening of this antichain containing non-trivial geometric and topological information. We find that covariant observables can be associated with such thickened antichains and transitions between them, in classical sequential growth models of causal sets. This construction highlights the difference between the covariant measure on causal set cosmology and the standard sum-over-histories approach: the measure is assigned to completed histories rather than to histories on a restricted spacetime region. The resulting re-phrasing of the sum-over-histories may be fruitful in other approaches to quantum gravity.
Description: Restricted Access. An open access version is available at
ISSN: 0264-9381
1361-6382 (Online)
Alternative Location:
Copyright: (2006) by the IOP Publishing Ltd.
Appears in Collections:Research Papers (TP)

Files in This Item:
File Description SizeFormat 
2006 CQG V23 p4743.pdf
  Restricted Access
Restricted Access160.39 kBAdobe PDFView/Open Request a copy

Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.