A Modular Analytic Framework for the Riemann Hypothesis (T1′–T4)

Highlights Complete analytic framework chain T1′→T4 (proof-only): Δ₃/Σ²/SFF alignment, FAIR bundle. Audits λ(Couret) FR/EN, dependency maps, guides, demos. Assets All-docs ZIP (curated PDFs) FINAL bundle (reproducible FAIR package + manifest) Source Overview (EN) This release ships a journal-ready LaTeX repository implementing a completeanalytic proof framework (T1′–T4) for RH-related bounds:T2 (weighted frame bound), T3 (wave-packet localization), and an appendix onthe explicit formula/archimedean control. It is not a resolution of RH. Honesty note: we prove bounds within a framework, not RH. Contents Mathematics:T1′ (Guinand–Weil, recalled),T2 (Gershgorin/Schur + refined different-prime estimate),T3 (wave-packet; explicit DCT; prime-side w/o square),T4 (cross-positivity criterion),Appendix (IBP bound on the archimedean term). Engineering: LaTeX class proofarticle.cls,unified Makefile, CI (PDF builds),arXiv tarball maker, SHA-256 manifest. Accessibility: personas, dictionary, storyboard, micro-example (T2), FAQ,bilingual summaries; full dependency graph (TikZ→PNG). Aperçu (FR) Cette version fournit un dépôt LaTeX prêt-journal pour un cadre analytique(T1′–T4) et des bornes démontrées : T2 (borne de trame pondérée),T3 (localisation par paquets d’ondes), avec une annexe (formule explicite /contrôle archimédien).Note d’honnêteté : il s’agit d’une preuve du cadre et des bornes,pas d’une résolution de l’hypothèse de Riemann. InterIA Mathematical Collective – Couret – Unification Series, Vol. 1.