{"paper":{"title":"Energy Balance of a Boson Gas at Zero Temperature in Curved Spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Zero-temperature boson gas in curved spacetime obeys a spacetime-derived energy balance equation alongside a Fisher entropy constraint.","cross_cats":["quant-ph"],"primary_cat":"gr-qc","authors_text":"Jorge Meza-Dom\\'inguez, Pierre-Henri Chavanis, Tonatiuh Matos","submitted_at":"2026-03-25T04:38:34Z","abstract_excerpt":"We develop a comprehensive thermodynamic description for a zero-temperature boson gas in curved spacetime, integrating energy conservation with information-theoretic principles. Using the hydrodynamic Madelung representation within the ADM formalism, we establish two fundamental relationships: an energy balance equation representing the first law of thermodynamics from a spacetime perspective, and an information-theoretic constraint connecting Fisher entropy to the dynamical evolution of the boson density. This dual formulation clearly separates energy transport from information conservation w"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We establish two fundamental relationships: an energy balance equation representing the first law of thermodynamics from a spacetime perspective, and an information-theoretic constraint connecting Fisher entropy to the dynamical evolution of the boson density.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The hydrodynamic Madelung representation remains valid when applied within the ADM formalism to a zero-temperature boson gas in curved spacetime, enabling the separation of energy transport from information conservation.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Develops energy balance equation and Fisher entropy constraint for zero-temperature boson gas in curved spacetime.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Zero-temperature boson gas in curved spacetime obeys a spacetime-derived energy balance equation alongside a Fisher entropy constraint.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"537308b88c217d18ec58d50c3208d73befc6ad503cf681db627ea776f1b4606a"},"source":{"id":"2603.23931","kind":"arxiv","version":3},"verdict":{"id":"f770676c-c157-4fc2-8417-d6898d4d7944","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T17:45:23.640726Z","strongest_claim":"We establish two fundamental relationships: an energy balance equation representing the first law of thermodynamics from a spacetime perspective, and an information-theoretic constraint connecting Fisher entropy to the dynamical evolution of the boson density.","one_line_summary":"Develops energy balance equation and Fisher entropy constraint for zero-temperature boson gas in curved spacetime.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The hydrodynamic Madelung representation remains valid when applied within the ADM formalism to a zero-temperature boson gas in curved spacetime, enabling the separation of energy transport from information conservation.","pith_extraction_headline":"Zero-temperature boson gas in curved spacetime obeys a spacetime-derived energy balance equation alongside a Fisher entropy constraint."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.23931/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":38,"sample":[{"doi":"","year":1993,"title":"Dimensional reduction in quantum gravity,","work_id":"95f3a7ea-7756-4a72-9e86-bccca196843c","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2008,"title":"Alcubierre,Introduction to 3+1 Numerical Relativity","work_id":"3f9793bf-3549-4b9c-82e6-2ecb6dc3e0a6","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2000,"title":"Scalar fields as dark matter in spiral galaxies,","work_id":"6d3f2570-3c57-4012-aa92-3996d7f4de4b","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2001,"title":"Further anal- ysis of a cosmological model with quintessence and scalar dark matter,","work_id":"f6280824-5a39-4c0c-9264-a38be721b451","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2011,"title":"Mass-radius relation of Newto- nian self-gravitating Bose-Einstein condensates with short-range interactions. 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