{"paper":{"title":"The influence of gravity on the Boltzmann entropy of a closed universe","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP","physics.class-ph"],"primary_cat":"physics.hist-ph","authors_text":"Michael K.-H. Kiessling","submitted_at":"2019-04-26T20:34:16Z","abstract_excerpt":"This contribution inquires into Clausius' proposal that \"the entropy of the world tends to a maximum.'\" The question is raised whether the entropy of \"the world\" actually does have a maximum; and if the answer is \"Yes!,\" what such states of maximum entropy look like, and if the answer is \"No!,\" what this could entail for the fate of the universe. Following R. Penrose, \"the world\" is modelled by a closed Friedman--Lemaitre type universe, in which a three-dimensional spherical \"space\" is filled with \"matter\" consisting of $N$ point particles, their large-scale distribution being influenced by th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.12727","kind":"arxiv","version":2},"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"}