The Nuclear Rotor Atlas: Revealing Surface Knots and Lobes: Geometric Precursors of Nuclear Decay
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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Zenodo
2025
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| _version_ | 1866901153023787008 |
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| author | Cobb, Stephen Euin |
| author_facet | Cobb, Stephen Euin |
| contents | <p>The <em>Nuclear Rotor Atlas</em> reveals previously unseen geometric structures within atomic nuclei: localized <em>coherence knots</em> and peripheral <em>surface lobes</em>. These features, absent from classical nuclear models, represent stable and unstable domains of curvature coherence on the three-sphere (S³). Coherence knots are regions of maximal rotor alignment—compact sub-manifolds that act as latent α-like clusters—while surface lobes mark curvature shear where coherence begins to fail. As the toroidal–Coulomb balance tilts toward strain, knots fragment and lobes extend outward along deterministic geometric axes. This process provides a continuous geometric pathway from stability to decay. The present paper describes the mathematical definition of these features, summarizes their occurrence across the <em>Nuclear Rotor Atlas</em>, and interprets them as the universal geometric precursors of α, β, and fission decays.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17478237 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Nuclear Rotor Atlas: Revealing Surface Knots and Lobes: Geometric Precursors of Nuclear Decay Cobb, Stephen Euin coherence knots surface lobes nuclear decay four-dimensional rotor model curvature coherence S³ geometry alpha preformation phase shear nuclear topology geometric stability <p>The <em>Nuclear Rotor Atlas</em> reveals previously unseen geometric structures within atomic nuclei: localized <em>coherence knots</em> and peripheral <em>surface lobes</em>. These features, absent from classical nuclear models, represent stable and unstable domains of curvature coherence on the three-sphere (S³). Coherence knots are regions of maximal rotor alignment—compact sub-manifolds that act as latent α-like clusters—while surface lobes mark curvature shear where coherence begins to fail. As the toroidal–Coulomb balance tilts toward strain, knots fragment and lobes extend outward along deterministic geometric axes. This process provides a continuous geometric pathway from stability to decay. The present paper describes the mathematical definition of these features, summarizes their occurrence across the <em>Nuclear Rotor Atlas</em>, and interprets them as the universal geometric precursors of α, β, and fission decays.</p> |
| title | The Nuclear Rotor Atlas: Revealing Surface Knots and Lobes: Geometric Precursors of Nuclear Decay |
| topic | coherence knots surface lobes nuclear decay four-dimensional rotor model curvature coherence S³ geometry alpha preformation phase shear nuclear topology geometric stability |
| url | https://doi.org/10.5281/zenodo.17478237 |