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| Hovedforfatter: | |
|---|---|
| Format: | Recurso digital |
| Sprog: | engelsk |
| Udgivet: |
Zenodo
2026
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| Fag: | |
| Online adgang: | https://doi.org/10.5281/zenodo.18883200 |
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Indholdsfortegnelse:
- <p><strong>Update Notes for Version 5 (Major Theoretical Upgrade):</strong></p> <p>This version introduces rigorous mathematical mappings that bridge the classical geometric construction of the Electric Arc-Helix directly to Extremal Conformal Field Theory (CFT) and modern quantum dynamics. Key additions include:</p> <ul> <li> <p><strong>Explicit Modular Parameter Mapping (Eq. 8.1):</strong> Introduced the elegant complex parameter <span>$\tau_{mod} = \Omega/\omega + i(a/R)$</span>, formally mapping the classical frequency and amplitude ratios of the Arc-Helix onto the upper half-plane of the <span>$SL(2, \mathbb{Z})$</span> modular group.</p> </li> <li> <p><strong>Mass Ratio Perturbation Mechanism (Eq. 9.2):</strong> Resolved the <span>$N \approx 1836$</span> (proton-to-electron) mass ratio by mathematically decomposing it into a strictly quantized topological bare state (<span>$N_{top} = 1836$</span>) and a continuous fractional radiative perturbation (<span>$\delta_{rad} \approx 0.15$</span>).</p> </li> <li> <p><strong>Rigorous Geometric Action (Eq. 10.1):</strong> Formulated the dynamical closed-loop via the geometric action functional <span>$S_{arc} = \int (\alpha \kappa^2 + \beta \tau) \|\vec{\gamma}'\| dt$</span>, mathematically proving that mass (inertial resistance) and charge (chiral phase) are inevitable dynamical emergences of extremized spatial curvature and torsion.</p> </li> <li> <p><strong>Typographical Enhancements:</strong> Improved LaTeX formatting, matrix alignments, and implemented sectional equation numbering for better academic readability.</p> </li> </ul>