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| Formato: | Recurso digital |
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Zenodo
2025
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| Acesso em linha: | https://doi.org/10.5281/zenodo.17966023 |
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Sumário:
- <p>This repository contains the complete documentation, validation data, and interactive visualizers for the Arc Law—a universal mathematical relationship between eigenstructure and observable transformation width:</p> <p>σ = k × |ν|^(-α)</p> <p>The framework unifies transformation dynamics across 40+ orders of magnitude, recovering historical laws as special cases:<br>- Geiger-Nuttall law (1911) at α = 0.5<br>- Sargent's Rule (1933) at α = 5.0</p> <p>This work assigns geometric structure to imaginary eigenvalue space and shows that long-standing empirical laws are projections of trajectories through that space.</p> <p>Contents: 52 files including core papers, pre-registration documents, validation figures, reproducibility code, and 19 interactive HTML visualizers.</p> <p>Validated across 6 domains: chemistry, quantum physics, nuclear physics, classical mechanics, ecology, and nonlinear dynamics. All results are reproducible using the included code and data.</p> <p>Update to reflect v2.0 changes:</p> <ul> <li>95 files (was 52)</li> <li>14 laws recovered (was 4)</li> <li>Chemistry α = 0.39 (corrected from 0.45)</li> <li>See CHANGELOG.md</li> </ul>