{"id":"W2804659699","doi":"10.1007/s00006-018-0899-y","title":"Octonions, Exceptional Jordan Algebra and The Role of The Group $$F_4$$ F 4 in Particle Physics","year":2018,"lang":"en","type":"article","venue":"Advances in Applied Clifford Algebras","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":38,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Dairy Farmers of Nova Scotia","keywords":"Intersection (aeronautics); Group (periodic table); Jordan algebra; Algebra over a field; Euclidean geometry; Division (mathematics); Inner automorphism; Clifford algebra; Automorphism group","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":[0.00108547,0.0005737591,0.0006296605,0.002018243,0.002495571,0.002660633,0.001017377,0.001368178,0.004885993],"category_scores_gemma":[0.001934435,0.0002556454,0.0005607041,0.0007846181,0.005658921,0.004766917,0.001646518,0.00164747,0.0004164006],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001046977,"about_ca_system_score_gemma":0.001182136,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001799145,"about_ca_topic_score_gemma":0.001826047,"domain_scores_codex":[0.9996654,0.0001195039,0.00001669918,0.00003937153,0.00007921793,0.00007981245],"domain_scores_gemma":[0.9993252,0.0002121835,0.0001143566,0.00006909868,0.00009472325,0.0001844653],"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":[0.00001076834,0.000009783464,0.00006186477,0.000006849448,0.000001283752,0.000022819,0.00005625851,0.0003041704,0.0001652697,0.9981457,0.0002627018,0.0009524971],"study_design_scores_gemma":[0.000003991888,0.000005653848,0.00004915244,0.000003552047,0.000001109399,0.00002457169,0.00003573386,0.001897508,0.00007191168,0.9971675,0.0007340054,0.000005183772],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7370542,0.004984176,0.07448232,0.008507641,0.001403005,0.00005103832,0.0001531033,0.0001838941,0.1731806],"genre_scores_gemma":[0.9680228,0.001221752,0.009380965,0.0006510401,0.00112421,0.00003624557,0.0000723587,0.00006010761,0.01943053],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004885993,"threshold_uncertainty_score":0.01634532,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.009840684748846765,"score_gpt":0.2677741786215183,"score_spread":0.2579334938726715,"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."}}