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Turbulence from First Principles (2403.07950v1)
Published 12 Mar 2024 in physics.gen-ph
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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