{"paper":{"title":"Greybody Factor, Resonant Frequencies, and Entropy Quantization of Charged Scalar Fields in the Kerr-EMDA Black Hole","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Resonant frequencies of charged scalars in Kerr-EMDA black holes have imaginary parts spaced exactly by 1/(2M), yielding a horizon-dependent entropy quantum.","cross_cats":["astro-ph.HE","hep-th","quant-ph"],"primary_cat":"gr-qc","authors_text":"\\.Izzet Sakall{\\i}, Naz{\\i}m Sertkan","submitted_at":"2026-04-21T13:37:04Z","abstract_excerpt":"We study charged massive scalar field perturbations on the rotating black hole (BH) background of Einstein-Maxwell-Dilaton-Axion (EMDA) theory, known as the Kerr-EMDA BH. Starting from the gauge-covariant Klein-Gordon equation (KGE), we perform a full separation of variables and obtain exact analytical solutions for both the angular and radial parts in terms of confluent Heun functions (CHFs). Unlike the earlier neutral scalar treatment by Senjaya and Ponglertsakul [Eur. Phys. J. C \\textbf{85}, 352 (2025)], the electromagnetic coupling $q$ fundamentally alters the structure of the Heun paramet"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Applying the CHF polynomial condition, we derive the resonant frequency spectrum whose imaginary parts are equispaced with |Δω_I| = 1/(2M), a universal spacing determined solely by the BH mass. Via the Maggiore prescription and the first law of BH thermodynamics, this yields a parameter-dependent entropy quantum δS_BH = 4π r_+/(r_+ - r_-), which reduces to 4π for Schwarzschild but diverges at extremality.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The assumption that the confluent Heun function parameters arising from the separated gauge-covariant Klein-Gordon equation in the Kerr-EMDA metric permit a polynomial termination condition that enforces the claimed universal imaginary frequency spacing independent of scalar charge q and dilaton parameter D.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Charged scalar fields on Kerr-EMDA black holes admit confluent Heun solutions yielding universal imaginary frequency spacing 1/(2M), entropy quanta 4π r_+/(r_+ - r_-), and the first analytical greybody factors for this geometry.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Resonant frequencies of charged scalars in Kerr-EMDA black holes have imaginary parts spaced exactly by 1/(2M), yielding a horizon-dependent entropy quantum.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"a112cb34a44cece651e9930355bf70353abd71792ceaa2c5916c9633bff55533"},"source":{"id":"2604.19848","kind":"arxiv","version":2},"verdict":{"id":"e0e67e21-1055-425f-8a38-10869cf309cb","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-10T02:17:56.843987Z","strongest_claim":"Applying the CHF polynomial condition, we derive the resonant frequency spectrum whose imaginary parts are equispaced with |Δω_I| = 1/(2M), a universal spacing determined solely by the BH mass. Via the Maggiore prescription and the first law of BH thermodynamics, this yields a parameter-dependent entropy quantum δS_BH = 4π r_+/(r_+ - r_-), which reduces to 4π for Schwarzschild but diverges at extremality.","one_line_summary":"Charged scalar fields on Kerr-EMDA black holes admit confluent Heun solutions yielding universal imaginary frequency spacing 1/(2M), entropy quanta 4π r_+/(r_+ - r_-), and the first analytical greybody factors for this geometry.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The assumption that the confluent Heun function parameters arising from the separated gauge-covariant Klein-Gordon equation in the Kerr-EMDA metric permit a polynomial termination condition that enforces the claimed universal imaginary frequency spacing independent of scalar charge q and dilaton parameter D.","pith_extraction_headline":"Resonant frequencies of charged scalars in Kerr-EMDA black holes have imaginary parts spaced exactly by 1/(2M), yielding a horizon-dependent entropy quantum."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.19848/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_compliance","ran_at":"2026-05-20T02:55:42.317943Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"8ec84a1df224ca0bad4943a28f5f46a0ccb2be0223f247a866a55617d8252c7f"},"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"}