English

Turbulence from First Principles

General Physics 2026-01-30 v2

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)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 R3,1\mathbb{R}^{3,1} lies on 6-choose-3 de Sitter intersections of three orthogonal nn-tori.

Keywords

Cite

@article{arxiv.2403.07950,
  title  = {Turbulence from First Principles},
  author = {Chris Scott},
  journal= {arXiv preprint arXiv:2403.07950},
  year   = {2026}
}
R2 v1 2026-06-28T15:17:45.858Z