Numerical Dual-Path Bianchi Verification on Nontrivial FLRW Backgrounds in ODTOE — Overview
Численная верификация тождества Бианки по двум путям на нетривиальных FLRW-фонах в ODTOE — обзор
Closing open task (ii) of Article C §XI. Numerical verification of dual-path Bianchi identity ∇_μG^μν=0 extended from vacuum Schwarzschild to four nontrivial FL
Закрытие открытой задачи (ii) статьи C §XI. Численная верификация двух-путевого тождества Бианки ∇_μG^μν=0 расширена от вакуумного Шварцшильда до четырёх нетрив
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Closing open task (ii) of Article C §XI. Numerical verification of dual-path Bianchi identity ∇_μG^μν=0 extended from vacuum Schwarzschild to four nontrivial FLRW scenarios with T_μν≠0: radiation-dominated era (a∝t^{1/2}, p=ρ/3), matter-dominated era (a∝t^{2/3}, p=0), Λ-dominated era (a∝e^{Ht}, p=−ρc²), and mixed ΛCDM era with Planck 2018 energy fractions. Two structurally independent evaluators: Path 1 — kinematic chain; Path 2 — Noether reduction. Anti-circularity audit enforced programmatically. Grid of 4 scenarios × 4 test times at mp.dps=50, relative difference <10⁻⁴⁵ established for all 16 pairs.