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Other literature type . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Other literature type . 2025
License: CC BY
Data sources: Datacite
ZENODO
Other literature type . 2025
License: CC BY
Data sources: Datacite
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Spectral Regularization of the Navier-Stokes Dissipation Scale: Numerical Closure of the ACI Hard-Deck

Authors: Lynch, Brendan;

Spectral Regularization of the Navier-Stokes Dissipation Scale: Numerical Closure of the ACI Hard-Deck

Abstract

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

Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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Average