Spectral Regularization of the Navier-Stokes Dissipation Scale: Numerical Closure of the ACI Hard-Deck
Authors/Creators
Description
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:
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Global Regularity: Discovery of the "Hard-Deck" dissipation floor that prevents velocity gradient blow-up, ensuring global smoothness.
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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.
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Statistical Closure: Resolution of the turbulence closure problem through the $G_{24}$ (Base-24) harmonic lattice, yielding an inertial slope of $-1.6466$.
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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
Files
ANumericalClosureOFTheHardDeckofNavierStokes.pdf
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Additional details
Related works
- Is supplement to
- Publication: 10.5281/zenodo.17566371 (DOI)
- Publication: 10.5281/zenodo.18036259 (DOI)