{"id":"W4401811098","doi":"10.1007/s00220-024-05038-y","title":"Geometric Foundations for Classical U(1)-Gauge Theory on Noncommutative Manifolds","year":2024,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Noncommutative and Quantum Gravity Theories","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of New Brunswick","funders":"Natural Sciences and Engineering Research Council of Canada; Harrison McCain Foundation","keywords":"Noncommutative geometry; Complex system; Mathematics; Gauge theory; Pure mathematics; Mathematical physics; Gauge (firearms); Theoretical physics; Physics; Algebra over a field; Computer science","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"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":[0.0007154691,0.0002290218,0.0003259056,0.0001890732,0.0003335818,0.0001756334,0.0008219166,0.00005329964,0.000197454],"category_scores_gemma":[0.0001300524,0.0002020516,0.0002260342,0.0009171342,0.0004606077,0.0002430864,0.0001872297,0.0005058399,0.0005540879],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008742845,"about_ca_system_score_gemma":0.00008606681,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005301264,"about_ca_topic_score_gemma":0.00000250782,"domain_scores_codex":[0.9985805,0.0002951197,0.0004193881,0.0002527524,0.0001697106,0.0002825441],"domain_scores_gemma":[0.99075,0.007767489,0.00007242194,0.001249386,0.00009434149,0.00006639584],"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":[0.00001405936,0.000729155,0.00004773316,0.00006065612,0.0000871041,4.271111e-7,0.001285156,0.00001916083,0.00003713446,0.9677047,0.0006941261,0.02932056],"study_design_scores_gemma":[0.00028346,0.00008971845,0.00006749794,0.0001974109,0.00005959473,5.036039e-7,0.001105202,0.01062231,0.0003681834,0.9794675,0.007517755,0.0002208522],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.004263201,0.0002344394,0.8126083,0.001625485,0.0001172209,0.000729327,0.0003037109,0.0001245096,0.1799938],"genre_scores_gemma":[0.9794899,0.00001187813,0.01819124,0.00008384036,0.0001628737,0.0006015836,0.0002372498,0.00004831309,0.001173167],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9752266,"threshold_uncertainty_score":0.8239425,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06768845229988033,"score_gpt":0.3884799988842829,"score_spread":0.3207915465844026,"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."}}