{"id":"W4309705366","doi":"10.5539/apr.v14n2p47","title":"Nonlinear Spinor Field Equation of the Bilinear Pauli-Fierz Invariant Iv = S2 + P2: Exact Spherical Symmetric Soliton-Like Solutions in General Relativity","year":2022,"lang":"en","type":"article","venue":"Applied Physics Research","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Spinor; Physics; Spinor field; Mathematical physics; Nonlinear system; Bilinear form; General relativity; Invariant (physics); Symmetric bilinear form; Quantum mechanics; Quantum electrodynamics; Mathematical analysis; Mathematics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"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":[0.001215797,0.0001877834,0.000318321,0.0001317971,0.0006899267,0.00004803008,0.0005772986,0.00006515597,0.0003387091],"category_scores_gemma":[0.00004150939,0.0001603255,0.0001949009,0.002392003,0.0001636598,0.0000898533,0.0009775035,0.001490211,0.00003269098],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001501922,"about_ca_system_score_gemma":0.0004999303,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002179327,"about_ca_topic_score_gemma":0.00002561591,"domain_scores_codex":[0.9970166,0.0004618392,0.0004378048,0.0004419338,0.0009494124,0.0006923732],"domain_scores_gemma":[0.9982522,0.0006773128,0.0001368776,0.0007041362,0.0001218884,0.0001076477],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0003168205,0.005460509,0.03377797,0.0000953848,0.0002699092,0.000008723788,0.001903642,0.0499701,0.04248416,0.8217533,0.003784044,0.0401754],"study_design_scores_gemma":[0.003903784,0.0007022872,0.02281426,0.00005337721,0.00008324718,0.000002614368,0.003327648,0.7407928,0.03018506,0.1796937,0.0172972,0.001144014],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9635966,0.00004667588,0.009901118,0.000838971,0.0002992351,0.001318084,0.0002680445,0.00002554243,0.02370578],"genre_scores_gemma":[0.9967584,0.000004483799,0.001589631,0.00006979909,0.0007321179,0.0001764478,0.0001143298,0.00003293949,0.0005218415],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6908227,"threshold_uncertainty_score":0.6537884,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07997533958692844,"score_gpt":0.3385967830333767,"score_spread":0.2586214434464483,"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."}}