{"paper":{"title":"Covariant Cherenkov Radiation and its Friction Force","license":"http://creativecommons.org/licenses/by/4.0/","headline":"The paper derives a covariant generalization of the Frank-Tamm formula for Cherenkov radiation and the associated relativistic friction force.","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Johann Rafelski, Martin S. Formanek, Will Price","submitted_at":"2026-03-02T09:10:39Z","abstract_excerpt":"We derive the covariant generalization of the Frank-Tamm formula describing the Cherenkov radiation by a charged particle moving uniformly with a speed faster than the local speed of light within a homogeneous dielectric medium. We use our result to derive the covariant Cherenkov radiation reaction force and obtain a four-force explicitly orthogonal to particle four-velocity consistent with a relativistic friction force. We present the photon emission spectrum that is dependent primarily on the dielectric properties of the medium. We hint at a possible use of this work to interpret an excess o"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We derive the covariant generalization of the Frank-Tamm formula describing the Cherenkov radiation by a charged particle moving uniformly with a speed faster than the local speed of light within a homogeneous dielectric medium. We use our result to derive the covariant Cherenkov radiation reaction force and obtain a four-force explicitly orthogonal to particle four-velocity consistent with a relativistic friction force.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The derivation assumes a homogeneous dielectric medium and strictly uniform particle motion; any spatial variation in the medium or acceleration of the particle would invalidate the closed-form expressions.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Derives covariant Cherenkov radiation formula and orthogonal four-force friction, with emission spectrum set by medium dielectric properties, hinting at explanation for soft photon excess in hadron collisions.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The paper derives a covariant generalization of the Frank-Tamm formula for Cherenkov radiation and the associated relativistic friction force.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"2701fa20af370580c76fe13e0e67061ac7b6ca11f7891b213cc8dc1a4bd31fa8"},"source":{"id":"2603.01636","kind":"arxiv","version":3},"verdict":{"id":"9c9f1492-1152-43a4-8931-2b5aab62aace","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T17:42:13.742877Z","strongest_claim":"We derive the covariant generalization of the Frank-Tamm formula describing the Cherenkov radiation by a charged particle moving uniformly with a speed faster than the local speed of light within a homogeneous dielectric medium. We use our result to derive the covariant Cherenkov radiation reaction force and obtain a four-force explicitly orthogonal to particle four-velocity consistent with a relativistic friction force.","one_line_summary":"Derives covariant Cherenkov radiation formula and orthogonal four-force friction, with emission spectrum set by medium dielectric properties, hinting at explanation for soft photon excess in hadron collisions.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The derivation assumes a homogeneous dielectric medium and strictly uniform particle motion; any spatial variation in the medium or acceleration of the particle would invalidate the closed-form expressions.","pith_extraction_headline":"The paper derives a covariant generalization of the Frank-Tamm formula for Cherenkov radiation and the associated relativistic friction force."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.01636/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"}