{"id":"W1438529033","doi":"10.1007/s00220-018-3222-9","title":"Contextuality and Noncommutative Geometry in Quantum Mechanics","year":2019,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Quantum Mechanics and Applications","field":"Physics and Astronomy","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Clarendon Fund; Fundação para a Ciência e a Tecnologia; Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; Simons Foundation; University of Oxford; John Templeton Foundation; Simons Institute for the Theory of Computing, University of California Berkeley","keywords":"Noncommutative geometry; Mathematics; Observable; Spectral triple; Noncommutative quantum field theory; Noncommutative algebraic geometry; Hausdorff space; Quantum differential calculus; Operator (biology); Pure mathematics; Functor; Self-adjoint operator; Operator algebra; State space; Quantum; Kochen–Specker theorem; Algebra over a field; Quantum mechanics; Physics; Hilbert space","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004305931,0.0001445132,0.0003078521,0.00006488374,0.00007470965,0.00003776779,0.0005629525,0.00004495818,0.0001164186],"category_scores_gemma":[0.00002304753,0.0001452941,0.00005177199,0.0004590667,0.00007497687,0.0001353347,0.0004256907,0.0004019319,0.0001812365],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003760265,"about_ca_system_score_gemma":0.00003425128,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005191574,"about_ca_topic_score_gemma":0.000008898155,"domain_scores_codex":[0.9989538,0.0001177598,0.0004006539,0.0002080557,0.0001155526,0.0002042078],"domain_scores_gemma":[0.9978463,0.0006683875,0.00011117,0.001272539,0.0000490143,0.00005261204],"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":[0.000002118001,0.0004682275,0.001553703,0.00002148091,0.00001013877,7.689167e-8,0.0006100613,0.00001902299,0.0001702175,0.994568,0.00001255106,0.002564375],"study_design_scores_gemma":[0.0003544981,0.00001399628,0.0004211339,0.00006407176,0.000006262775,2.472378e-7,0.001377732,0.179227,0.00005746754,0.8181593,0.0001853022,0.0001329958],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7052664,0.0001960672,0.2715498,0.001223772,0.00005066147,0.001266478,0.00007863063,0.00005220047,0.02031597],"genre_scores_gemma":[0.9966629,0.00002261777,0.003021509,0.00005634105,0.00001413587,0.0001397614,0.00003890733,0.00001809726,0.00002569502],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2913965,"threshold_uncertainty_score":0.592492,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03776034734365712,"score_gpt":0.3278369657240898,"score_spread":0.2900766183804327,"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."}}