{"id":"W2087475467","doi":"10.1007/s00006-012-0347-3","title":"The Complex Algebra of Physical Space: A Framework for Relativity","year":2012,"lang":"en","type":"article","venue":"Advances in Applied Clifford Algebras","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Spinor; Mathematics; Minkowski space; Covariant transformation; Clifford algebra; Lorentz transformation; Dirac equation; Geometric algebra; Algebra over a field; Pure mathematics; Mathematical physics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009725423,0.0002938094,0.000686998,0.0001506379,0.0002621404,0.00002063991,0.0004414627,0.0001511031,0.00005238673],"category_scores_gemma":[0.001438365,0.0002056264,0.0002824368,0.001222919,0.0003947679,0.0002333228,0.0001313389,0.000356446,0.000024672],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007104081,"about_ca_system_score_gemma":0.00002797516,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003597409,"about_ca_topic_score_gemma":0.00002267993,"domain_scores_codex":[0.9978467,0.00006270099,0.0006063168,0.0003149333,0.0004444697,0.000724869],"domain_scores_gemma":[0.9900938,0.008595435,0.0005052669,0.0006220281,0.00006034722,0.0001231003],"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":[0.00009562821,0.0003063307,0.003490489,0.00008167788,0.00008326134,1.741392e-7,0.0006282264,0.00001661507,0.00004404876,0.9642549,0.0003009192,0.0306977],"study_design_scores_gemma":[0.0004913157,0.00006422903,0.001402763,0.00002911409,0.0001079355,8.978151e-7,0.0008440115,0.0003883783,0.0006603641,0.9742442,0.02151626,0.0002505353],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2733453,0.003873323,0.6901872,0.0006366571,0.0003657333,0.001914132,0.00004245485,0.0001679447,0.02946726],"genre_scores_gemma":[0.93796,0.0002297669,0.06096352,0.00008209084,0.0003245016,0.0002385189,0.000009696687,0.00004239298,0.0001495402],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6646147,"threshold_uncertainty_score":0.83852,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03872632498684933,"score_gpt":0.3580410708927948,"score_spread":0.3193147459059454,"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."}}