{"id":"W4394932626","doi":"10.1007/s10569-024-10185-4","title":"Regular n-gon rotating equilibria with logarithm gravitational interaction","year":2024,"lang":"en","type":"article","venue":"Celestial Mechanics and Dynamical Astronomy","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Logarithm; Physics; Gravitation; Mathematics; Classical mechanics; Mathematical analysis","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":[0.0007098879,0.0006651129,0.0006899655,0.001726087,0.002122931,0.002313394,0.001216853,0.001175326,0.01161096],"category_scores_gemma":[0.002542163,0.0003084183,0.0005040942,0.0006293191,0.002112305,0.001888083,0.002141068,0.0008451206,0.001608925],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008400904,"about_ca_system_score_gemma":0.0005958382,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001075823,"about_ca_topic_score_gemma":0.0009586926,"domain_scores_codex":[0.9996015,0.0001207034,0.00002174784,0.00006489777,0.00009111018,0.00009993315],"domain_scores_gemma":[0.9993474,0.0001353322,0.0001498459,0.00007065399,0.00007927426,0.0002175244],"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":[0.0002146767,0.00004355059,0.000440065,0.00004070029,0.00001614718,0.0002236007,0.00013311,0.00369831,0.002277145,0.9884444,0.001732666,0.002735501],"study_design_scores_gemma":[0.0002266913,0.0001253066,0.001098237,0.00002986241,0.00002318792,0.0004999469,0.0003826747,0.06753492,0.002179297,0.9218944,0.005952787,0.0000528453],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7521418,0.0005965794,0.04622797,0.001789092,0.0005032878,0.0001293132,0.0003594857,0.0004499781,0.1978025],"genre_scores_gemma":[0.9686257,0.0001768527,0.006859547,0.0002704361,0.0001744193,0.00006988934,0.0002007205,0.0001000248,0.02352235],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01161096,"threshold_uncertainty_score":0.0388425,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00651211106054635,"score_gpt":0.2300145077114121,"score_spread":0.2235023966508658,"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."}}