Turbulence from First Principles

Chris Scott

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arXiv · 2403.07950

Turbulence from First Principles

Chris Scott

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Abstract

We provide a first-principles approach to turbulence by employing the electrodynamics of continuous media at the viscous limit to recover the Navier-Stokes equations. We treat oscillators with two orthogonal angular momenta as a spin network with properties applicable to the Kolmogorov-Arnold-Moser (KAM) theorem. The microscopic viscous limit has an irreducible representation that includes $O(3)$ expansion terms for a radiation-dominated fluid with a Friedmann-Lemaitre-Robertson-Walker (FLRW) metric, equivalent to an oriented toroidal de Sitter space. The turbulence solution in $\mathbb{R}^{3,1}$ lies on 6-choose-3 de Sitter intersections of three orthogonal $n$-tori.

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Chris Scott. 2024-03-12. Turbulence from First Principles. https://arxiv.org/abs/2403.07950

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