The Navier-Stokes Singularity Does Not Exist in Physical Spacetime: A TCC Proof, the SRNUDT Boundary Theorem, and a Critique of the Continuous Spacetime Axiom

Abstract We prove that conditional on TCC being the correct Planck-scale description, no finite-time singularity occurs in the Navier-Stokes equations in physical spacetime. The turbulent energy cascade is SRNUDT remainder propagation. The Planck floor is the terminal object of CSRNUDT. The SRNUDT Boundary Theorem (Ploof 2026, Paper A, DOI: 10. 5281/zenodo. 19326496) establishes that remainder localizes to the G-invariant null cone at the Planck floor — the boundary between timelike and spacelike domains — rather than accumulating at interior points. Finite-time blowup requires remainder to concentrate at an interior point approaching zero scale. The Boundary Theorem forbids this unconditionally within TCC spacetime. We further argue that the Clay Millennium Prize formulation presupposes the Continuous Spacetime Axiom (CSA) — a physically false premise rejected by all quantum gravity programs — and that the physical NS regularity question and the abstract mathematical question are distinct. The correct physical question has a clean answer: global regularity holds in TCC spacetime.