{"id":"W4391933681","doi":"10.1007/s10714-024-03203-1","title":"The Dirac equation across the horizons of the 5D Myers–Perry geometry: separation of variables, radial asymptotic behaviour and Hamiltonian formalism","year":2024,"lang":"en","type":"article","venue":"General Relativity and Gravitation","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Universities Space Research Association","keywords":"Mathematical physics; Dirac equation; Physics; Separation of variables; Hamiltonian (control theory); Ode; Differential geometry; Dirac algebra; Dirac spinor; Mathematical analysis; Event horizon; Mathematics; Partial differential equation; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0005471404,0.0005478831,0.0003349852,0.0009270568,0.000512014,0.0008802438,0.0008746877,0.0006417762,0.002503225],"category_scores_gemma":[0.0008391537,0.0002564491,0.0004946664,0.0003428911,0.001447573,0.002093806,0.001209105,0.0008214633,0.0002919398],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009021367,"about_ca_system_score_gemma":0.0005245991,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001827877,"about_ca_topic_score_gemma":0.001353741,"domain_scores_codex":[0.9998179,0.00006363002,0.00001142003,0.00002505568,0.00005351567,0.00002850834],"domain_scores_gemma":[0.9997914,0.00003885897,0.0000585038,0.00001824343,0.00004192586,0.00005100476],"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":[0.000009601094,0.000009090896,0.0001901264,0.0000207978,0.000004445634,0.0001149785,0.0001161124,0.00497603,0.003201954,0.9898016,0.0001551774,0.001400151],"study_design_scores_gemma":[0.00002499706,0.00006458355,0.001254059,0.00004319022,0.00001111743,0.0003914335,0.000220254,0.1790524,0.001861516,0.8145664,0.002467457,0.00004251908],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6418296,0.001061042,0.3135738,0.0009620747,0.0001277804,0.00005320019,0.0001193927,0.0001479602,0.04212516],"genre_scores_gemma":[0.9327963,0.0008102299,0.05210286,0.0002024155,0.00009898382,0.00004461473,0.0001222617,0.00008162906,0.0137407],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002503225,"threshold_uncertainty_score":0.008374095,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01083858481213507,"score_gpt":0.2671698086700606,"score_spread":0.2563312238579255,"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."}}