{"id":"W4416692612","doi":"10.48550/arxiv.2509.01500","title":"Modified Black Hole Potentials and Their Korteweg-de Vries Integrals: Instabilities and Beyond","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Wind Energy Institute of Canada","funders":"","keywords":"Perspective (graphical); Korteweg–de Vries equation; Black hole (networking); Series (stratigraphy); Gravitation; Homogeneous space; Dynamics (music)","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007174474,0.0007538139,0.0005337987,0.001258664,0.0005491035,0.001593732,0.0007114951,0.0007920857,0.001966094],"category_scores_gemma":[0.003027631,0.0002763275,0.0004882342,0.0005366645,0.002668381,0.003232839,0.001059287,0.001178878,0.0003335261],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006015893,"about_ca_system_score_gemma":0.0004099923,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006224719,"about_ca_topic_score_gemma":0.0002916077,"domain_scores_codex":[0.9997376,0.0001069039,0.00001098576,0.00003041876,0.00008083614,0.00003331925],"domain_scores_gemma":[0.9993601,0.0002253515,0.0001423568,0.00008170192,0.00008083005,0.0001096641],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000192148,0.00001187866,0.0003310906,0.00003859162,0.000009697394,0.0001036855,0.0001171289,0.003607523,0.001602614,0.990796,0.000432879,0.002929601],"study_design_scores_gemma":[0.000006922736,0.000009246512,0.0003797853,0.00001461974,0.000002606575,0.0001149742,0.00003858012,0.03776322,0.0003500305,0.9603835,0.0009226954,0.00001385364],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6907912,0.01035522,0.2139472,0.002747151,0.0005960048,0.00006528594,0.0002495742,0.0003716681,0.08087659],"genre_scores_gemma":[0.9800308,0.001890598,0.01091627,0.0001809208,0.0002706178,0.00004027734,0.00008233064,0.0001182161,0.006469979],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001966094,"threshold_uncertainty_score":0.006577194,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01922909557217523,"score_gpt":0.2491720340180068,"score_spread":0.2299429384458316,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}