Certified Unconditional Regularity of 3D Incompressible Navier-Stokes: Dyadic Bootstrap, A-Posteriori Validation, and Sealed Equivalence. A two-Route Bootstrap with Audited Constans.

This repository contains all sealed numerical and analytical materials supporting the unconditional certification framework for the 3D incompressible Navier–Stokes equations. It extends the previously certified dyadic reformulation established in Part I, where analytical equivalence with the classical NS3D formulation was rigorously verified. Building upon that certified analytical layer, the present work completes the unconditional closure by means of a two-route bootstrap validation (Route A and Route B), combining full a-posteriori verification of the dyadic structure with machine-precision diagnostics. Companion work: *Conditional A-Priori–A-Posteriori Framework for 3D Incompressible Navier–Stokes via Dyadic Reformulation and Verified Analytical Equivalence* (DOI [10.5281/zenodo.17308682](https://doi.org/10.5281/zenodo.17308682)). --- **Version 2 (21 October 2025)** This updated version includes the correction of bibliographic references. All files have been recompiled and re-sealed to generate updated ZIP archives, SHA-256 hashes, and CAdES/PAdES digital signatures. No mathematical derivations, numerical verifications, or analytical results have been altered; the scientific and computational content remains identical to Version 1. Version 1 remains available for historical record, while this Version 2 should be considered the latest official sealed release.