The DSM Solution Series: Part II A Deterministic Solution to the Navier-Stokes Existence and Smoothness Problem

The Navier–Stokes Existence and Smoothness Problem [1] requires formal proof that the equations governing viscous fluid flow possess well-behaved (smooth) solutions in three dimensions and that singularities, defined as points of infinite velocity or pressure, cannot form. This paper applies the Causal Informational Physics Field Equation (CIFE), which operates under the Deterministic Stability Mandate (DSM), to the hydrodynamic domain. We map the kinetic acceleration of fluid disorder (turbulence) onto the Causal Prediction Metric (Φ): Coheron, defined axiomatically as the second-order time derivative of informational disorder. The proof establishes that the underlying informational architecture, the Minimal Coherence Architecture (MCA), operates under an intrinsic constraint for Quantum Error Correction (QEC) [4]. This QEC mandate establishes an absolute, non-infinite upper bound (Φ_max < ∞) on the kinetic acceleration of disorder. Since singularity formation requires an infinite acceleration of velocity and energy, and Φ_max bounds all kinetic acceleration, the CIFE rigorously proves the necessary smoothness and global existence of the solution by precluding the formation of mathematical singularities.