Turbulence from First Principles

2024/03/12 by Chris Scott, Scott, Chris
Engineering · Physics and Astronomy · #FOS: Physical sciences #Fluid dynamics and aerodynamics studies #General Physics (physics.gen-ph) #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics

paper · pdf · doi:10.48550/arxiv.2403.07950

openalex publication_date 2024/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 ℝ^3,1 lies on 6-choose-3 de Sitter intersections of three orthogonal n-tori.

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