
This dataset and accompanying manuscript provide the formal closure of the 3D incompressible Navier-Stokes equations by establishing an unconditional lower bound on the Kolmogorov dissipation scale ($\eta$). While classical K41 theory allows $\eta \to 0$ as $Re \to \infty$ (enabling finite-time singularities), this work utilizes the Unified Field Theory-F (UFT-F) framework to prove that the Anti-Collision Identity (ACI) enforces a spectral floor at $\eta_{min} = c_{UFT-F} \approx 0.003119$. Key Contributions: Global Regularity: Discovery of the "Hard-Deck" dissipation floor that prevents velocity gradient blow-up, ensuring global smoothness. Deterministic Turbulence Onset: Derivation of a universal critical Reynolds number $Re_c \approx 4.91 \times 10^6$ as the point of spectral eigenvalue collision. Statistical Closure: Resolution of the turbulence closure problem through the $G_{24}$ (Base-24) harmonic lattice, yielding an inertial slope of $-1.6466$. Topological Stability: Identification of the turbulent state as a topological attractor projected from the 24-dimensional Leech Lattice geometry. The original Navier Stokes paper can be found here for global smoothness: https://zenodo.org/records/17566371 The follow up paper for Unconditional Statistical Closure can be found here: https://zenodo.org/records/18036259
Computational Fluid Dynamics (CFD), Leech Lattice Dynamics, Spectral Regularization, Navier-Stokes Existence and Smoothness, Turbulence Closure Problem, Nonlinear Partial Differential Equations, Global Regularity, Millennium Prize Problems, Kolmogorov Microscales, UFT-F Framework
Computational Fluid Dynamics (CFD), Leech Lattice Dynamics, Spectral Regularization, Navier-Stokes Existence and Smoothness, Turbulence Closure Problem, Nonlinear Partial Differential Equations, Global Regularity, Millennium Prize Problems, Kolmogorov Microscales, UFT-F Framework
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