2005/12/13 by Raluca Ilie, Gregory B. Thompson, Gregory B Thompson +2 · 2 citations
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Noncommutative and Quantum Gravity Theories #Statistical Mechanics and Entropy #gr-qc
paper · pdf · doi:10.1088/0264-9381/23/10/002
published as Class.Quant.Grav. 23 (2006) 3275-3286 · To the celebration of the 60th birthday of Rafael D. Sorkin
arxiv created 2005/12/13 · openalex publication_date 2006/04/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01
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.