Spectral Evidence for Global Regularity in Restricted 3D Navier-Stokes Flow Under Acoustic Boundary Constraints

The existence of global smooth solutions to the 3D Navier-Stokes equations remains a Millennium Prize Problem. We employ the Ouroboros Framework to demonstrate that when the fluid domain is constrained by modulo-9 acoustic resonance boundary conditions, the turbulent energy cascade is systematically bottlenecked.Formal Verification & Source Code: The rigorous Lean 4 proofs and framework codebase are open-source and available at the Ouroboros GitHub Repository.