Proposal of Complete Solution of the Navier-Stokes Equations via 5D Higgs-Torsion Geometry and Information Dimension

This work proposes a novel approach to establishing global regularity for the 3D incompressible Navier-Stokes equations by embedding the system in a five-dimensional geometric framework. The method couples quantum effects through a Higgs-torsion interaction (Claro, 2025) that generates turbulence-suppressing forces and incorporates a fractal control mechanism regulated by the flow's information dimension (Cadelano, 2025). Numerical validation demonstrates significant reduction in chaotic behavior and energy dissipation. While offering a mathematically consistent pathway to resolving the Millennium Problem, the physical interpretation of the fifth dimension and Higgs coupling in classical fluids requires empirical verification. The framework suggests potential applications to cosmological structure formation if validated.