Turbulence from First Principles
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918312013725696 |
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| author | Scott, Chris |
| author_facet | Scott, Chris |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07950 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Turbulence from First Principles Scott, Chris General Physics 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. |
| title | Turbulence from First Principles |
| topic | General Physics |
| url | https://arxiv.org/abs/2403.07950 |