{"id":"W1963968559","doi":"10.1139/p07-055","title":"Symmetry, quasisymmetry, and critical phenomena","year":2007,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Physics; Symmetry (geometry); Theoretical physics; Spontaneous symmetry breaking; Homogeneous space; Global symmetry; Symmetry breaking; Symmetry operation; Explicit symmetry breaking; Phase transition; Symmetry number; Order (exchange); Rotational symmetry; Quantum mechanics; Geometry","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":true,"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":[0.0003279842,0.000111112,0.0002220896,0.00008648748,0.0001156283,0.00007257389,0.0001206818,0.00003206169,0.00008200097],"category_scores_gemma":[0.00002298841,0.00009858135,0.00009627828,0.000166877,0.00011712,0.0001303315,0.000009105343,0.0002144856,0.00001071988],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004886802,"about_ca_system_score_gemma":0.0002223364,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00459378,"about_ca_topic_score_gemma":0.0007752721,"domain_scores_codex":[0.9990914,0.00002174439,0.0003101948,0.00009603659,0.0001282973,0.0003522735],"domain_scores_gemma":[0.9986683,0.0001381497,0.0001109227,0.00009663461,0.0001349443,0.0008510257],"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":[0.000006822769,0.00003766894,0.06401658,0.00001876114,0.00006309022,0.0000351608,0.0002811562,0.000005930218,0.0001556107,0.8534027,0.0007256903,0.08125087],"study_design_scores_gemma":[0.0036533,0.001257482,0.08994511,0.0005665012,0.0003972744,0.0001973696,0.008377882,0.003458431,0.003199129,0.7864352,0.1005506,0.001961707],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8198229,0.0007571544,0.1485449,0.0006212292,0.001232016,0.0001045014,0.00006577731,0.000006864136,0.02884468],"genre_scores_gemma":[0.9976979,7.903684e-7,0.0002871842,0.00007608368,0.001868422,3.010854e-7,0.000001935362,0.00001400536,0.00005331041],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1778751,"threshold_uncertainty_score":0.6944453,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01128246008872523,"score_gpt":0.2478973297531558,"score_spread":0.2366148696644306,"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."}}