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| Main Author: | |
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| Format: | Recurso digital |
| Language: | English |
| Published: |
Zenodo
2026
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| Subjects: | |
| Online Access: | https://doi.org/10.5281/zenodo.19640181 |
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Table of Contents:
- <p>I am writing to share a preprint that presents the first <br>systematic numerical measurement of vortex-stretching <br>alignment geometry across spatial dimensions n=2,3,5,10 <br>in the Navier-Stokes equations.</p> <p>The central finding is a viscosity-independent geometric <br>floor in θ_min — the minimum alignment angle between the <br>vorticity tensor and strain-vorticity interaction tensor — <br>that is specific to each dimension. In 3D this floor sits <br>at approximately 48°, is stable across ν=0.001 to 0.0001, <br>and is spatially pinned following a snap event at t*≈1.15.</p> <p>The paper states a precise conjecture: ∃ δ(n)>0 such that <br>θ_min(t) ≥ δ(n) for all smooth solutions. For n=3, proving <br>this conjecture would resolve the Millennium Problem.</p>