{"id":"W7134151085","doi":"","title":"Perplex Numbers and Thermodynamics","year":2025,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Advanced Thermodynamics and Statistical Mechanics","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Second law of thermodynamics; Entropy (arrow of time); Laws of thermodynamics; Algebraic number; Formalism (music); Entropy production; Exergy; Non-equilibrium thermodynamics","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009682153,0.0002985003,0.0003298718,0.00007186467,0.0002427482,0.0002024107,0.0005406638,0.0001483654,0.0001950186],"category_scores_gemma":[0.0001382357,0.0003180619,0.0001309852,0.0001329872,0.0001359689,0.00005176186,0.001075493,0.0005814865,0.000007475085],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005175503,"about_ca_system_score_gemma":0.0001608611,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009641953,"about_ca_topic_score_gemma":0.0002971967,"domain_scores_codex":[0.9976008,0.001026058,0.0003220367,0.0005940947,0.0001816003,0.000275438],"domain_scores_gemma":[0.9971433,0.0008061064,0.0002368042,0.001028926,0.0006489721,0.0001359509],"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":[0.000003886816,0.0001195629,0.0003745726,0.00005306867,0.00006590233,7.004537e-7,0.001003594,0.00006966834,0.0001513276,0.9084253,0.0000415585,0.08969083],"study_design_scores_gemma":[0.0003964521,2.20761e-7,0.0006477421,0.0008260588,0.00007160174,9.052911e-7,0.0001919169,0.3706163,0.000735721,0.6229991,0.003027412,0.0004865223],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02397911,0.0001761457,0.7990432,0.001333822,0.0001407531,0.000260331,0.0005278417,0.00007176337,0.174467],"genre_scores_gemma":[0.9189442,0.0001368165,0.06932534,0.0000550631,0.00002356476,0.00005782982,0.0006138611,0.00003564847,0.01080764],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8949651,"threshold_uncertainty_score":0.9999272,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006957317239565777,"score_gpt":0.2328285286533568,"score_spread":0.225871211413791,"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."}}