{"id":"W4221152104","doi":"10.48550/arxiv.2203.05694","title":"Internal mode-induced growth in $3$d nonlinear Klein-Gordon equations","year":2022,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; University of Toronto","keywords":"Nonlinear system; Bounding overwatch; Klein–Gordon equation; Mathematics; Bilinear interpolation; Quadratic equation; Component (thermodynamics); Mathematical analysis; Space (punctuation); Field (mathematics); Pure mathematics; Applied mathematics; Physics; Computer science; Quantum mechanics; Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005312947,0.0007868107,0.0005149409,0.0005992688,0.0006263855,0.001327055,0.0007926343,0.0007730386,0.002652318],"category_scores_gemma":[0.001777718,0.0003276533,0.0008414905,0.0002475511,0.001669778,0.00142946,0.002619983,0.00117946,0.0002664725],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001212243,"about_ca_system_score_gemma":0.0006191615,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002088727,"about_ca_topic_score_gemma":0.0009869175,"domain_scores_codex":[0.9998025,0.00005265504,0.00001076426,0.00002684104,0.00007178014,0.00003548343],"domain_scores_gemma":[0.9994727,0.0001718899,0.00009601334,0.00004849894,0.00009478007,0.0001161702],"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":[0.0001064106,0.00006584005,0.001697996,0.000121024,0.00003764319,0.0006665743,0.0007302944,0.06027811,0.05107071,0.8790224,0.001081423,0.005121679],"study_design_scores_gemma":[0.00004534114,0.00007959864,0.001250112,0.0000205028,0.00001566474,0.000339178,0.0002244924,0.6557931,0.006835905,0.3339392,0.00140409,0.00005278185],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7520377,0.0004338959,0.2060515,0.00151712,0.0001802259,0.00007645845,0.0001193363,0.0003248432,0.03925896],"genre_scores_gemma":[0.9740815,0.0002308512,0.01287936,0.0001555193,0.00005441143,0.00005627688,0.00005930394,0.0000831233,0.01239956],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002652318,"threshold_uncertainty_score":0.008872867,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1593416786772065,"score_gpt":0.2689622444332234,"score_spread":0.1096205657560169,"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."}}