Harmonic Vortex Theory (HVT): Topological Emergence of the Standard Model via Faddeev-Skyrme-Niemi Hopfions (v3)

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1. Verfasser: MCMANNES, ARLEY
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author MCMANNES, ARLEY
author_facet MCMANNES, ARLEY
contents <p>Harmonic Vortex Theory (HVT) v3 – Full Topological Expansion & Numerical Validation</p> <p> </p> <p>Original v1 deposited: March 11, 2026 (DOI: 10.5281/zenodo.18948463)</p> <p>v2 added the full March 14, 2026 topological paper.</p> <p> </p> <p>This v3 adds live relaxation animations and reproducible code:</p> <p>- Vacuum as compressible superfluid governed by extended Faddeev-Skyrme-Niemi Lagrangian + geometric pressure potential V(π^n)</p> <p>- Particles as stable Hopfion knots with acoustic phase-locks</p> <p>- n=5 proton with Bogomolny saturation, 1:5 Dark Matter halo entrainment, and Finkelstein-Rubinstein spin-1/2</p> <p>- n=44 non-singular black-hole core</p> <p>- Full spectrum from n=−13 (neutrino) to universal-scale vacuum</p> <p> </p> <p>Supplementary files:</p> <p>• proton_hvt_relaxation.mp4 — live animation of the n=5 proton vortex forming in real time</p> <p>• HVT_Simulation_Core.py — reproducible relaxation code</p> <p>• HVT_Relaxed_Spectrum.csv — complete numerical table</p> <p> </p> <p>A closely related preprint appeared on rxiVerse the same day as v1 under a different author name (Antoine Van Hoof). This deposit establishes priority for the original HVT concept and all subsequent topological developments, including the −4.5 proton boundary condition and 1:5 halo mechanism.</p> <p> </p> <p>Keywords: Harmonic Vortex Theory, Hopfions, Faddeev-Skyrme-Niemi, topological solitons, non-singular black holes, gravitational-wave echoes, Dark Matter halo, acoustic phase-lock, Finkelstein-Rubinstein</p>
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publishDate 2026
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record_format zenodo
spellingShingle Harmonic Vortex Theory (HVT): Topological Emergence of the Standard Model via Faddeev-Skyrme-Niemi Hopfions (v3)
MCMANNES, ARLEY
Theoretical physics
<p>Harmonic Vortex Theory (HVT) v3 – Full Topological Expansion & Numerical Validation</p> <p> </p> <p>Original v1 deposited: March 11, 2026 (DOI: 10.5281/zenodo.18948463)</p> <p>v2 added the full March 14, 2026 topological paper.</p> <p> </p> <p>This v3 adds live relaxation animations and reproducible code:</p> <p>- Vacuum as compressible superfluid governed by extended Faddeev-Skyrme-Niemi Lagrangian + geometric pressure potential V(π^n)</p> <p>- Particles as stable Hopfion knots with acoustic phase-locks</p> <p>- n=5 proton with Bogomolny saturation, 1:5 Dark Matter halo entrainment, and Finkelstein-Rubinstein spin-1/2</p> <p>- n=44 non-singular black-hole core</p> <p>- Full spectrum from n=−13 (neutrino) to universal-scale vacuum</p> <p> </p> <p>Supplementary files:</p> <p>• proton_hvt_relaxation.mp4 — live animation of the n=5 proton vortex forming in real time</p> <p>• HVT_Simulation_Core.py — reproducible relaxation code</p> <p>• HVT_Relaxed_Spectrum.csv — complete numerical table</p> <p> </p> <p>A closely related preprint appeared on rxiVerse the same day as v1 under a different author name (Antoine Van Hoof). This deposit establishes priority for the original HVT concept and all subsequent topological developments, including the −4.5 proton boundary condition and 1:5 halo mechanism.</p> <p> </p> <p>Keywords: Harmonic Vortex Theory, Hopfions, Faddeev-Skyrme-Niemi, topological solitons, non-singular black holes, gravitational-wave echoes, Dark Matter halo, acoustic phase-lock, Finkelstein-Rubinstein</p>
title Harmonic Vortex Theory (HVT): Topological Emergence of the Standard Model via Faddeev-Skyrme-Niemi Hopfions (v3)
topic Theoretical physics
url https://doi.org/10.5281/zenodo.19140731