Phys. Rev. D 67, 024034 (2003) [8 pages]Manifold dimension of a causal set: Tests in conformally flat spacetimesReceived 23 July 2002; revised 22 October 2002; published 30 January 2003 This paper describes an approach that uses flat-spacetime estimators to estimate the manifold dimension of causal sets that can be faithfully embedded into curved spacetimes. The approach is invariant under coarse-graining and can be implemented independently of any specific curved spacetime. Results are given based on causal sets generated by random sprinklings into conformally flat spacetimes in 2, 3, and 4 dimensions, as well as one generated by a percolation dynamics. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.67.024034
DOI:
10.1103/PhysRevD.67.024034
PACS:
04.60.-m, 04.20.Gz, 04.50.+h
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