{"paper":{"title":"A Gauge-Theoretic Formulation of Nambu Non-equilibrium Thermodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"So Katagiri","submitted_at":"2026-06-20T03:01:46Z","abstract_excerpt":"We present a gauge-theoretic formulation of Nambu non-equilibrium thermodynamics (NNET).\n  In this framework, the thermodynamic potential $A_{i}=\\partial_{i}S$ plays the role of a gauge field: the reversible thermodynamics corresponds to the pure-gauge condition $F=dA=0$, while the irreversible entropy production arises from the emergence of curvature $F\\neq0$. The gauge-fixing term, $A_{0}=\\frac{1}{2}L^{ij}A_{i}A_{j}$ leads to Onsager's variational principle, whereas the Chern--Simons--like term $A\\wedge B\\wedge dt,\\ B=dH_{1}\\wedge dH_{2},$ naturally yields the framework of NNET.\n  This formu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.24919","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.24919/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}