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 complete
analytic proof framework (T1′–T4) for RH-related bounds:
T2 (weighted frame bound), T3 (wave-packet localization), and an appendix on
the 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.