{"paper":{"title":"Generalized fluctuation-dissipation theorem and Einstein relation in rotating equilibrium","arxiv_id":"2610.01797","primary_cat":"hep-ph","submitted_at":"2026-10-01T14:42:07+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. 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factor.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.9,"main_claim_p":0.16,"quantitative":false,"quantitative_p":0.13,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.99,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.0}},{"i":2,"p":0.98,"id":"s2","own":true,"role":"result","text":"In the local transport limit, we obtain a model-independent generalized Einstein relation with rotation in which, through second order in thermal vorticity, symmetric momentum diffusion depends on low-frequency spectral information beyond that encoded in the rotation-dependent dissipative drag.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.38,"quantitative":true,"quantitative_p":0.68,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.98,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.02,"interpretation":0.0}},{"i":3,"p":0.99,"id":"s3","own":true,"role":"result","text":"Remarkably, we find a new Einstein-type relation linking zero modes in the spectral function to the nonrotating drag coefficient.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.2,"quantitative":false,"quantitative_p":0.13,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.99,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.0}},{"i":4,"p":0.89,"id":"s4","own":true,"role":"interpretation","text":"These zero modes underlie a new mechanism for the orbital polarization of heavy quarkonium.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.93,"main_claim_p":0.15,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.11,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.89}},{"i":5,"p":1.0,"id":"s5","own":true,"role":"result","text":"The same FDT constraint yields a modified detailed-balance relation whose first-order vortical correction is governed by transition polarization, without 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