{"id":"W4406486917","doi":"","title":"Definability, Quantum Transitions, and Non-Holomorphic Spaces in Pro-p Galois Extensions","year":2025,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Mount Royal University","funders":"","keywords":"Holomorphic function; Quantum; Pure mathematics; Mathematics; Algebra over a field; Physics; Quantum mechanics","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":[0.002084769,0.0005689372,0.0004568641,0.001212492,0.00165076,0.003082259,0.001039416,0.0009312362,0.002853951],"category_scores_gemma":[0.00546267,0.0002982288,0.000974611,0.0008148495,0.007841196,0.009874935,0.002714127,0.003353729,0.0002062362],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001649042,"about_ca_system_score_gemma":0.0006919865,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007618745,"about_ca_topic_score_gemma":0.0006063074,"domain_scores_codex":[0.9986169,0.0003438766,0.0001019496,0.0003750673,0.0003377626,0.0002244483],"domain_scores_gemma":[0.9955145,0.002437097,0.0004897033,0.0007181784,0.000466607,0.0003740411],"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":[0.00001769763,0.00001600847,0.0003492856,0.00001869096,0.000003599925,0.00006350678,0.0003234556,0.001052259,0.000654247,0.9958715,0.0001038755,0.001525892],"study_design_scores_gemma":[0.0000126184,0.00002845561,0.0003387575,0.00001156349,0.000005285792,0.00007148938,0.0002068945,0.00785875,0.001459078,0.9888191,0.001177356,0.00001082691],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7792413,0.0004922986,0.1990192,0.001493014,0.00009695824,0.00006677672,0.0002122723,0.0001519065,0.01922628],"genre_scores_gemma":[0.9868668,0.0001652388,0.01041123,0.00009905676,0.00006037348,0.00004517679,0.0001644358,0.00002430451,0.002163329],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003082259,"threshold_uncertainty_score":0.01196468,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02446405388591449,"score_gpt":0.2689041943155414,"score_spread":0.2444401404296269,"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."}}