{"paper":{"title":"Minkowski space is locally the Noldus limit of a Poisson process causet","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG","math.MP"],"primary_cat":"math-ph","authors_text":"Jan Cristina","submitted_at":"2016-03-30T14:01:01Z","abstract_excerpt":"A poisson process $P_{\\lambda}$ on $\\mathbb{R}^{d}$ with causal structure inherited from the the usual Minkowski metric on $\\mathbb{R}^{d}$ 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 to $Q$ with the Minkowksi metric."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.09199","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}