{"id":"W2079858663","doi":"10.1063/1.3094719","title":"Hamilton–Jacobi theory in three-dimensional Minkowski space via Cartan geometry","year":2009,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":15,"is_retracted":false,"has_abstract":true,"ca_institutions":"Dalhousie University; University of Waterloo","funders":"","keywords":"Hamilton–Jacobi equation; Hamiltonian system; Mathematics; Minkowski space; Integrable system; Hamiltonian (control theory); Separable space; Mathematical analysis; Mathematical physics; Geometry; Mathematical optimization","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004446899,0.0001802965,0.0004503827,0.00006923878,0.00005135063,0.00003398873,0.0001994727,0.00004984747,0.0002393464],"category_scores_gemma":[0.00002287922,0.0001376007,0.0002811988,0.0002103084,0.00006057188,0.0001694177,0.00002595791,0.0004441964,0.00005643612],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003301155,"about_ca_system_score_gemma":0.00006552645,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003350877,"about_ca_topic_score_gemma":6.07746e-7,"domain_scores_codex":[0.9986582,0.00005589647,0.000522823,0.0001220533,0.00035874,0.0002823148],"domain_scores_gemma":[0.9989377,0.0003363863,0.0002657928,0.0002056801,0.000103364,0.000151118],"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":[0.00007833954,0.001837176,0.001261994,0.00003129526,0.0001230151,0.00004137597,0.0005496346,0.0008298954,0.002938327,0.9753071,0.0006413297,0.01636053],"study_design_scores_gemma":[0.0006012451,0.0001458564,0.00184558,0.0001240375,0.00004657387,0.00001513531,0.000112006,0.003264223,0.001259577,0.9922215,0.0001947972,0.0001694703],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9499478,0.00008038823,0.04369627,0.0004193662,0.0001303103,0.0001150947,0.00001143669,0.000008051577,0.005591226],"genre_scores_gemma":[0.9910319,8.876048e-7,0.007668374,0.000116015,0.000938612,6.977193e-7,0.000002847142,0.00001676165,0.0002239499],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.041084,"threshold_uncertainty_score":0.5611193,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01011992520233435,"score_gpt":0.259601581387425,"score_spread":0.2494816561850906,"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."}}