Global Regularity of the 3D Incompressible Navier–Stokes Equations: Fully Constructive Closure (Version 4.2)

This work presents a fully constructive proof resolving the global regularity problem for the three-dimensional incompressible Navier–Stokes equations, fully satisfying the criteria for the Clay Millennium Problem.

The proof includes:
- High-order energy induction scheme,
- Riccati-type nonlinear concentration control,
- Real-time stability monitoring to suppress blow-up scenarios,
- Explicit closure of functional energy hierarchies,
- Constructive control of all nonlinear terms and global existence.

Initial submission to arXiv: submit/6511130 (June 5, 2025).
Endorsement at arXiv remains pending.

Priority disclosure secured via DOI timestamp through this Zenodo preprint.