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research article
Minkowski space is locally the Noldus limit of Poisson process causets
A Poisson process P-lambda on R-d with causal structure inherited from the the usual Minkowski metric on R-d has a normalised discrete causal distance D-lambda (x, y) given by the height of the longest causal chain normalised by lambda(1/d)c(d). We prove that P-lambda restricted to a compact set Q converges in probability in the sense of Noldus (2004 Class. Quantum Grav. 21 839-50) to Q with the Minkowski metric.
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Type
research article
Web of Science ID
WOS:000382262800009
Authors
Publication date
2016
Publisher
Published in
Volume
33
Issue
17
Article Number
175008
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
October 18, 2016