A numerical study of the correspondence between paths in a causal set and geodesics in the continuum

Details A numerical study of the correspondence between paths in a causal set and geodesics in the continuum A numerical study of the correspondence between paths in a causal set and geodesics in the continuum

2005-12-13

arxiv.org/abs/gr-qc/0512073v1

Class.Quant.Grav. 23 (2006) 3275-3286

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To the celebration of the 60th birthday of Rafael D. Sorkin

Scientific paper

10.1088/0264-9381/23/10/002

This paper presents the results of a computational study related to the path-geodesic correspondence in causal sets. For intervals in flat spacetimes, and in selected curved spacetimes, we present evidence that the longest maximal chains (the longest paths) in the corresponding causal set intervals statistically approach the geodesic for that interval in the appropriate continuum limit.

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