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.


Published in:
Classical And Quantum Gravity, 33, 17, 175008
Year:
2016
Publisher:
Bristol, Iop Publishing Ltd
ISSN:
0264-9381
Keywords:
Laboratories:




 Record created 2016-10-18, last modified 2018-03-17


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