{"id":"W2093793453","doi":"10.1016/j.physletb.2012.10.037","title":"Modified Dirac equation with Lorentz invariance violation and its solutions for particles in an external magnetic field","year":2012,"lang":"en","type":"article","venue":"Physics Letters B","topic":"Noncommutative and Quantum Gravity Theories","field":"Physics and Astronomy","cited_by":61,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Dirac equation; Physics; Lorentz covariance; Two-body Dirac equations; Dispersion relation; Spin (aerodynamics); Dirac sea; Magnetic field; Matrix (chemical analysis); Lorentz transformation; Mathematical physics; Quantum electrodynamics; Quantum mechanics; Dirac fermion; Fermion","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000111821,0.00008365872,0.00008778406,0.00001765485,0.000110823,0.00003604655,0.00004423006,0.00001128531,0.000007051223],"category_scores_gemma":[0.000003694936,0.00007664518,0.00001846108,0.00006367525,0.00002704417,0.000571846,0.00001763685,0.00006509395,0.000002638871],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00000968216,"about_ca_system_score_gemma":0.000007352932,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004981797,"about_ca_topic_score_gemma":0.000008269336,"domain_scores_codex":[0.9994754,0.00004653051,0.00009486065,0.0001021717,0.000060302,0.0002207377],"domain_scores_gemma":[0.9996723,0.0001271328,0.00005414052,0.00008110498,0.0000237021,0.00004163615],"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":[0.0001276597,0.0002821457,0.1619058,0.00002100763,0.00001762037,1.940687e-7,0.003384151,0.001399385,0.09022212,0.7146624,0.0000267329,0.02795076],"study_design_scores_gemma":[0.004233685,0.0009302932,0.1979934,0.0001948486,0.0001673689,9.587422e-7,0.001201733,0.1655365,0.10441,0.5242457,0.00008211387,0.001003453],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6929538,0.00003999164,0.3065353,0.00026308,0.00002465815,0.0001317923,0.000009746119,0.000005906273,0.00003578405],"genre_scores_gemma":[0.9983163,6.662415e-7,0.001091204,0.0001975822,0.0002759137,0.00007645319,0.00002912676,0.000008601259,0.000004082254],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3054441,"threshold_uncertainty_score":0.31255,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05132878458847068,"score_gpt":0.2817505673929058,"score_spread":0.2304217828044351,"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."}}