{"paper":{"title":"Consistency in the Quantum-Improved Charged Black Holes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Thermodynamic consistency allows arbitrary radial dependence for couplings in quantum-improved charged black holes","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Akihiro Ishibashi, Chiang-Mei Chen, Nobuyoshi Ohta","submitted_at":"2026-05-14T08:13:48Z","abstract_excerpt":"We investigate the consistency in the thermodynamics and the approaches at the equation and action levels for the quantum-improved charged black holes with scale-dependent couplings. For the quantum-improved Reissner-Nordstr\\\"om black holes, we find that the thermodynamic consistency allows both the Newton and electromagnetic couplings to have arbitrary dependence on the radial coordinate. We point out a subtlety in the chemical potential with the scale-dependent electromagnetic coupling in the study of thermodynamics. We also examine the compatibility of the Einstein equations at the equation"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"For the quantum-improved Reissner-Nordström black holes, thermodynamic consistency allows both the Newton and electromagnetic couplings to have arbitrary dependence on the radial coordinate; consistency between the approaches at the equation and action levels requires that the Newton coupling satisfy certain property; quantum-induced modifications can drive the isotropization of the early universe.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The quantum-improved metric with scale-dependent couplings is assumed to be a valid solution whose thermodynamic quantities can be defined in the standard way; the precise form of the scale dependence and the definition of chemical potential with running electromagnetic coupling are taken as given without independent derivation.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Thermodynamic consistency for quantum-improved Reissner-Nordström black holes permits arbitrary radial dependence in both Newton and electromagnetic couplings, while equation-action consistency requires an extra quantum energy-momentum tensor and specific properties for the Newton coupling.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Thermodynamic consistency allows arbitrary radial dependence for couplings in quantum-improved charged black holes","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"761e1fbfc56be6f003fa687c7a6ff7e98342efd4b66b3512e9ab53f5164022dc"},"source":{"id":"2605.14532","kind":"arxiv","version":1},"verdict":{"id":"239e152c-40f3-4e5f-81c8-fd7b9e80b4e8","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T01:34:07.597056Z","strongest_claim":"For the quantum-improved Reissner-Nordström black holes, thermodynamic consistency allows both the Newton and electromagnetic couplings to have arbitrary dependence on the radial coordinate; consistency between the approaches at the equation and action levels requires that the Newton coupling satisfy certain property; quantum-induced modifications can drive the isotropization of the early universe.","one_line_summary":"Thermodynamic consistency for quantum-improved Reissner-Nordström black holes permits arbitrary radial dependence in both Newton and electromagnetic couplings, while equation-action consistency requires an extra quantum energy-momentum tensor and specific properties for the Newton coupling.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The quantum-improved metric with scale-dependent couplings is assumed to be a valid solution whose thermodynamic quantities can be defined in the standard way; the precise form of the scale dependence and the definition of chemical potential with running electromagnetic coupling are taken as given without independent derivation.","pith_extraction_headline":"Thermodynamic consistency allows arbitrary radial dependence for couplings in quantum-improved charged black holes"},"references":{"count":37,"sample":[{"doi":"","year":null,"title":"would like to thank Department of Physics, Nagoya University for the hospitality during his visit, where part of this work is done","work_id":"5a72c4d0-d0c9-489c-a1ca-4384cfacd62e","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1998,"title":"String Theory, Vols 1 & 2,","work_id":"b6abb0b8-dfd3-4b8b-8f17-6e6abd39785b","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1998,"title":"Rovelli,Loop quantum gravity,Living Rev","work_id":"48875cf7-c857-47e6-982f-e0cb11b8bad7","ref_index":3,"cited_arxiv_id":"gr-qc/9710008","is_internal_anchor":true},{"doi":"","year":1998,"title":"Nonperturbative evolution equation for quantum gravity","work_id":"6a082206-8e07-4397-8127-3a67116afdf4","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1999,"title":"Nontrivial ultraviolet fixed point in quantum gravity","work_id":"735718ff-5ee6-431a-82a1-744d24cd0ecf","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":37,"snapshot_sha256":"c97fcbf904699eb37c57f4b3120016667923a7f59661fa6204de24cd6c49cc45","internal_anchors":20},"formal_canon":{"evidence_count":2,"snapshot_sha256":"02f3d0a74ae89adf069c246f6f449dcbd6b46f733e5ca450895d3bb238cdf822"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}