{"id":"W3012945766","doi":"10.1007/jhep10(2020)078","title":"Does the round sphere maximize the free energy of (2+1)-dimensional QFTs?","year":2020,"lang":"en","type":"article","venue":"Journal of High Energy Physics","topic":"Quantum Electrodynamics and Casimir Effect","field":"Physics and Astronomy","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation; Kavli Institute for Theoretical Physics, University of California, Santa Barbara; Science and Technology Facilities Council; National Science Foundation","keywords":"Casimir effect; Circular symmetry; Casimir pressure; Scalar (mathematics); Fuzzy sphere; Rotational symmetry; Energy (signal processing); Spherical geometry","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":[0.000151139,0.0002077261,0.000367776,0.00001349889,0.0001543453,0.00005392317,0.0006761387,0.00003633982,0.0001325299],"category_scores_gemma":[0.000009069686,0.00008730601,0.0003922452,0.0002190659,0.0001164042,0.000141034,0.0001301803,0.0002895889,0.000001516656],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001922976,"about_ca_system_score_gemma":0.0001438804,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004009918,"about_ca_topic_score_gemma":0.00001985529,"domain_scores_codex":[0.9985964,0.0001433904,0.0004330226,0.0001443459,0.0004485765,0.0002342652],"domain_scores_gemma":[0.9984353,0.0002856178,0.0006398681,0.0003426723,0.0002047221,0.00009189027],"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":[0.0001334354,0.0001392355,0.0002091368,0.000006817324,0.0004468595,0.00001029744,0.00008519483,0.00667858,0.001947872,0.9718487,0.006290548,0.01220335],"study_design_scores_gemma":[0.001430795,0.0005395133,0.0004129477,0.00004324068,0.0002584202,0.00001391413,0.0001970786,0.007673477,0.02699826,0.9466193,0.01553542,0.0002776234],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7472607,0.0008691956,0.2301602,0.01710518,0.001512813,0.0001287229,0.0001281527,0.00002287343,0.002812105],"genre_scores_gemma":[0.9968448,0.0000253566,0.0001672653,0.0006895439,0.002070558,0.000003886267,0.000008865984,0.00002832731,0.0001613505],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2495841,"threshold_uncertainty_score":0.3560236,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005397419306694875,"score_gpt":0.1931793838540539,"score_spread":0.187781964547359,"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."}}