{"id":"W2079693783","doi":"10.5539/jmr.v1n2p148","title":"Study of Gravitational Lensing Constraints on the Cardassian Model Based on the Friedmann Equation","year":2009,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Geophysics and Gravity Measurements","field":"Earth and Planetary Sciences","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Dark energy; Dark matter; Gravitational lens; Friedmann equations; Acceleration; Gravitation; Physics; Mathematics; Universe; Astrophysics; Cosmology; Classical mechanics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00383601,0.001421884,0.00185447,0.001891592,0.001573142,0.002126863,0.002400565,0.001575718,0.006461111],"category_scores_gemma":[0.01473342,0.000669563,0.0009871559,0.000943173,0.002414935,0.005270863,0.002575062,0.00244893,0.0004381392],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001869472,"about_ca_system_score_gemma":0.001297112,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01117649,"about_ca_topic_score_gemma":0.005132183,"domain_scores_codex":[0.9990615,0.0004642802,0.00003174902,0.0001496875,0.0001303909,0.0001622653],"domain_scores_gemma":[0.992151,0.004060441,0.001691223,0.0005069387,0.0006706439,0.0009198118],"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":[0.0002319197,0.00008127254,0.006743088,0.0002262681,0.0001008685,0.0006869857,0.0003138629,0.04504655,0.00215872,0.9350418,0.002772976,0.006595679],"study_design_scores_gemma":[0.0002146805,0.0001653401,0.01374751,0.0001235294,0.00007691564,0.0004147126,0.000233897,0.537424,0.0006565239,0.4434065,0.003346537,0.0001896655],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.82452,0.007666436,0.08013359,0.006885903,0.0002848558,0.00008101096,0.0006020956,0.0001477552,0.0796784],"genre_scores_gemma":[0.9849976,0.001765328,0.006670569,0.0004212127,0.0004695186,0.0000529633,0.0003596841,0.00005726375,0.005205876],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01117649,"threshold_uncertainty_score":0.02222288,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2672824294961741,"score_gpt":0.3652076462412019,"score_spread":0.0979252167450278,"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."}}