{"paper":{"title":"Shadow dependent phenomenology framework for rotating black hole metric","license":"http://creativecommons.org/licenses/by/4.0/","headline":"A diffeomorphic inversion re-parameterizes rotating black hole mass using the observable shadow radius to compute deflection, temperature, and luminosity without the bare mass.","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Emmanuel T. Rodulfo, Nikko John Leo S. Lobos","submitted_at":"2026-04-24T03:14:59Z","abstract_excerpt":"We establish a formal thermodynamic-optical duality that bridges the semiclassical quantum evaporation of black holes with their classical macroscopic geometry. The physical viability of this framework is anchored by a stable multivariate coordinate transformation and a non-vanishing Jacobian determinant, which allows for a diffeomorphic inversion mapping that decouples intrinsic physical quantities such as bare mass from the unobservable spacetime interior. By re-parameterizing black hole properties entirely in terms of the analytical shadow radius ($R_{sh}$), we derive explicit, observable-b"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"By employing a diffeomorphic inversion, we re-parameterize the intrinsic black hole mass entirely in terms of the observable shadow radius R_sh. This mapping allows the formulation of the classical weak deflection angle, Hawking temperature, and integrated semiclassical luminosity, bypassing the unobservable bare mass. ... drives up to a ~52% deviation in Hawking emission under current EHT limits.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The diffeomorphic inversion that re-expresses all thermodynamic and optical quantities solely in terms of R_sh is assumed to be valid and to preserve the physical content for the Kerr-MOG and rotating Horndeski spacetimes without additional model-dependent corrections to the shadow boundary.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A thermodynamic-optical duality reparameterizes black hole mass via observable shadow radius to derive lensing angles, Hawking temperature, and luminosity for Kerr, Kerr-MOG, and rotating Horndeski metrics, yielding model-specific signatures under EHT constraints including up to 52% deviation in Hor","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A diffeomorphic inversion re-parameterizes rotating black hole mass using the observable shadow radius to compute deflection, temperature, and luminosity without the bare mass.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"9c9d118d7ad43b388a85c72a3ab2ad7da1bfa8761a106ea9d293408c30bd1d25"},"source":{"id":"2604.22181","kind":"arxiv","version":2},"verdict":{"id":"018fb702-cfcc-48db-afe5-8b137046d4d7","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-08T10:53:43.635112Z","strongest_claim":"By employing a diffeomorphic inversion, we re-parameterize the intrinsic black hole mass entirely in terms of the observable shadow radius R_sh. This mapping allows the formulation of the classical weak deflection angle, Hawking temperature, and integrated semiclassical luminosity, bypassing the unobservable bare mass. ... drives up to a ~52% deviation in Hawking emission under current EHT limits.","one_line_summary":"A thermodynamic-optical duality reparameterizes black hole mass via observable shadow radius to derive lensing angles, Hawking temperature, and luminosity for Kerr, Kerr-MOG, and rotating Horndeski metrics, yielding model-specific signatures under EHT constraints including up to 52% deviation in Hor","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The diffeomorphic inversion that re-expresses all thermodynamic and optical quantities solely in terms of R_sh is assumed to be valid and to preserve the physical content for the Kerr-MOG and rotating Horndeski spacetimes without additional model-dependent corrections to the shadow boundary.","pith_extraction_headline":"A diffeomorphic inversion re-parameterizes rotating black hole mass using the observable shadow radius to compute deflection, temperature, and luminosity without the bare mass."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.22181/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-21T11:35:29.194050Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-20T00:13:07.932396Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"d79a1eeaf2732b4363aab4facc8284688ba4e9456999eb13085b6d0184f512b7"},"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"}