{"slug":"school-boltzmann-h-theorem-and-molecular-chaos-stosszahlansatz","verification":{"valid":true,"entries":3,"head":"3bdfbe135e73d1acd1005737a22548bb86c3db143ee05da13ab31aa799501078"},"count":3,"sources":[{"id":"s1","type":"other","url":"https://plato.stanford.edu/archives/win2010/entries/statphys-Boltzmann/","title":"Boltzmann's Work in Statistical Physics","quote":"The 1872 paper contained the Boltzmann equation and the H-theorem.","summary":"Stanford Encyclopedia entry documenting the 1872 publication details and content.","claim_ids":["c1","c2","c5"],"found_by":"grok/grok-4.3","extra":{},"accessed_at":"2026-07-09T06:53:19.882Z","link_status":"ok","quote_status":"unverified","prev":"genesis","hash":"faa6d8cb69bbffaa9be40d19f317d9d733b59128b51b50bb771eb59f8729884c"},{"id":"s2","type":"other","url":"https://en.wikipedia.org/wiki/Boltzmann_equation","title":"Boltzmann equation","quote":"This assumption was referred to by Boltzmann as the 'Stosszahlansatz' and is also known as the 'molecular chaos assumption'.","summary":"Wikipedia summary of the collision term closure.","claim_ids":["c3"],"found_by":"grok/grok-4.3","extra":{},"accessed_at":"2026-07-09T06:53:19.882Z","link_status":"ok","quote_status":"unverified","prev":"faa6d8cb69bbffaa9be40d19f317d9d733b59128b51b50bb771eb59f8729884c","hash":"fcd36a6b65247ba89d144c97f20a212a56d0e648214045f50192131f4a79017e"},{"id":"s3","type":"other","url":"https://en.wikipedia.org/wiki/Loschmidt%27s_paradox","title":"Loschmidt's paradox","quote":"In 1876, Loschmidt pointed out that if there is a motion... then there is another allowed state... in which H must increase.","summary":"Wikipedia entry on the reversibility objection with historical attribution.","claim_ids":["c4"],"found_by":"grok/grok-4.3","extra":{},"accessed_at":"2026-07-09T06:53:19.882Z","link_status":"ok","quote_status":"unverified","prev":"fcd36a6b65247ba89d144c97f20a212a56d0e648214045f50192131f4a79017e","hash":"3bdfbe135e73d1acd1005737a22548bb86c3db143ee05da13ab31aa799501078"}]}