{"id":"W4324144763","doi":"10.3390/ecu2023-14054","title":"Construction of Discrete Symmetries Using the Pauli Algebra Form of the Dirac Equation","year":2023,"lang":"en","type":"article","venue":"","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"MacEwan University","funders":"","keywords":"Homogeneous space; Dirac equation; Pauli exclusion principle; Algebra over a field; Dirac (video compression format); Dirac algebra; Pauli matrices; Mathematics; Physics; Mathematical physics; Pure mathematics; Computer science; Quantum mechanics; Geometry","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":[0.0005769771,0.0003613411,0.0004918862,0.0009143192,0.001133146,0.001749856,0.0007542695,0.0006481981,0.004977141],"category_scores_gemma":[0.0009504742,0.0003541801,0.000943956,0.0005015404,0.002562593,0.001652371,0.002073316,0.001633627,0.0009739524],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008856834,"about_ca_system_score_gemma":0.0009398494,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007912457,"about_ca_topic_score_gemma":0.0007083964,"domain_scores_codex":[0.9995226,0.0001289887,0.00003019749,0.00007819168,0.0001547872,0.00008533247],"domain_scores_gemma":[0.9997472,0.00003884331,0.00003960837,0.00006226508,0.0000527097,0.00005938271],"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":[0.000006836055,0.00001284472,0.00005653817,0.00001063704,0.000002092921,0.00009252715,0.0001596721,0.0004547059,0.001400285,0.9947243,0.000323132,0.00275647],"study_design_scores_gemma":[0.00003432088,0.00002970559,0.0001225402,0.00001382449,0.000004694381,0.0002075736,0.0001374699,0.01135279,0.001539243,0.9772412,0.009303501,0.00001310631],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"other","genre_scores_codex":[0.2022913,0.0003339781,0.6558175,0.00141674,0.000739224,0.0003131858,0.0003101086,0.0003381867,0.1384397],"genre_scores_gemma":[0.7497607,0.0004093693,0.2228833,0.000543798,0.0002915086,0.0002484457,0.0003655706,0.0002155439,0.02528158],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.004977141,"threshold_uncertainty_score":0.0166502,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07553192839584792,"score_gpt":0.316356556222368,"score_spread":0.24082462782652,"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."}}