{"id":"W4400954128","doi":"10.1063/5.0203079","title":"Locally-homogeneous Riemann-Cartan geometries with the largest symmetry group","year":2024,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Advanced Differential Geometry Research","field":"Physics and Astronomy","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Dalhousie University; St. Francis Xavier University","funders":"","keywords":"Group (periodic table); Homogeneous; Symmetry group; Mathematics; Riemann hypothesis; Lie group; Pure mathematics; Cartan matrix; Symmetry (geometry); Group theory; Riemann's differential equation; Mathematical physics; Physics; Riemann Xi function; Combinatorics; Geometry; 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":[0.0003739348,0.00047496,0.0005231301,0.001163089,0.0006955781,0.000893682,0.0006455311,0.0003883198,0.004256094],"category_scores_gemma":[0.001006661,0.0002379014,0.0008437564,0.0005039147,0.001030662,0.001278929,0.001043262,0.0006112753,0.0007840168],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004146112,"about_ca_system_score_gemma":0.0005916748,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008314546,"about_ca_topic_score_gemma":0.001137016,"domain_scores_codex":[0.9997624,0.00004676233,0.00001599664,0.00004242288,0.00008129792,0.000051156],"domain_scores_gemma":[0.9997126,0.00007110744,0.00005089065,0.00007380421,0.00005104844,0.00004050784],"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":[0.0001536233,0.00008137062,0.004346381,0.0001331839,0.00003513451,0.0007546358,0.0005705043,0.03099386,0.02134238,0.8603981,0.002483984,0.07870685],"study_design_scores_gemma":[0.00006590498,0.0001319846,0.001917313,0.00002458962,0.00002524316,0.0003419055,0.0002872859,0.134989,0.01833328,0.8365598,0.007277859,0.00004587686],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5085078,0.00009906317,0.4765273,0.0001455691,0.00003387469,0.0001314847,0.0004593257,0.0004010687,0.0136946],"genre_scores_gemma":[0.7768221,0.00009242372,0.2195138,0.00003404368,0.00002151404,0.00007797984,0.0008809622,0.000126288,0.002430957],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004256094,"threshold_uncertainty_score":0.01423806,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01281513312345235,"score_gpt":0.275447976521925,"score_spread":0.2626328433984726,"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."}}