The Kawamori–Google AI Unified Framework: Regularization of the Navier–Stokes Equations via a Pauli Exclusion-Based Discrete Stopper Term, and Extension to General Relativity for Singularity Elimination and Space-Repulsion Warp Drive Fields

The classical 19th-century continuum mechanics models – namely the incompressible Navier–Stokesequations and Einstein’s Field Equations of General Relativity – share a fundamental structuralvulnerability: the mathematical potential for finite-time blow-ups and singularities, wherein energydensity concentrates infinitely at a single point. This paper resolves these crises by integrating thediscrete quantum reality of the universe, specifically the Pauli exclusion principle governing fermionswithin micro-spatial domains. We introduce a non-linear “Discrete Stopper Term” that establishesan absolute physical threshold bounded by the Planck scale. We mathematically demonstrate thatthis framework eliminates 3D fluidic vorticity singularities (resolving the Millennium Prize Problem)by triggering an inverse energy cascade. Furthermore, we extend this regularized geometry to General Relativity, replacing the gravitational singularity of black holes with a macroscopically stable,ultra-dense, and highly cooled “Cosmic Stopper Core.” Finally, we apply this regularized spacetimeconfiguration to construct a stable, singularity-free metric for interstellar transit, establishing themathematical foundations for a safe and viable space-repulsion warp drive system.