Selector Closure, Constants, and Structural Obstructions in the Neutrino and CKM Sectors
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| Formato: | Recurso digital |
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2025
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| _version_ | 1866901131063459840 |
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| author | Egbert, Daniel |
| author_facet | Egbert, Daniel |
| contents | <p>This twenty-eighth paper in the Selector/Edge–Anomaly series applies selector/closure logic to four targets: (i) electroweak mixing, where closure yields a <strong>discrete rational menu</strong> for <span><span>sin2θW\sin^2\theta_W</span><span><span><span>sin<span><span><span><span><span><span>2</span></span></span></span></span></span></span><span><span>θ</span><span><span><span><span><span><span>W</span></span></span><span></span></span></span></span></span></span></span></span> and a weighting functional <span><span>FselF_{\mathrm{sel}}</span><span><span><span><span>F</span><span><span><span><span><span><span><span>sel</span></span></span></span><span></span></span></span></span></span></span></span></span> (including APS/ABK, smoothness, and RG terms) favors the PDG value <span><span>sin2θW≃0.231 \sin^2\theta_W \simeq 0.231</span><span><span><span>sin<span><span><span><span><span><span>2</span></span></span></span></span></span></span><span><span>θ</span><span><span><span><span><span><span>W</span></span></span><span></span></span></span></span></span><span>≃</span></span><span><span>0.231</span></span></span></span>; (ii) the <strong>neutrino hierarchy</strong>, where the <strong>inverted hierarchy (IH)</strong> is framed as a <strong>closure obstruction</strong> (falsifiable by JUNO/DUNE/Hyper-K), the <strong>normal hierarchy (NH)</strong> survives, and <span><span>δCP\delta_{\mathrm{CP}}</span><span><span><span><span>δ</span><span><span><span><span><span><span><span>CP</span></span></span></span><span></span></span></span></span></span></span></span></span> is restricted to a <strong>discrete set</strong>; (iii) the <strong>CKM sector</strong>, where closure prunes discrete CKM classes and kaon phenomenology (<span><span>εK\varepsilon_K</span><span><span><span><span>ε</span><span><span><span><span><span><span>K</span></span></span><span></span></span></span></span></span></span></span></span>) selects a small survivor set; and (iv) a clearly labeled <strong>speculative</strong> parallel to cosmological filament “resonances.” A stability <strong>trichotomy</strong> (attractors / resonances / obstructed) is quantified with lifetime–mass scaling; dark matter is suggested to fit the <strong>long-lived resonance</strong> slot (falsifiable if a new exactly stable attractor were found). Throughout, results are presented as <strong>structural constraints</strong> and <strong>menus</strong>; <strong>data choose the survivors</strong> and can <strong>falsify</strong> the framework.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17080306 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Selector Closure, Constants, and Structural Obstructions in the Neutrino and CKM Sectors Egbert, Daniel selector closure anomaly inflow electroweak mixing sin^2(theta_W) neutrino hierarchy CP violation (δ_CP) CKM matrix kaon phenomenology (ε_K) lifetime–mass scaling stability trichotomy dark matter resonance falsifiability <p>This twenty-eighth paper in the Selector/Edge–Anomaly series applies selector/closure logic to four targets: (i) electroweak mixing, where closure yields a <strong>discrete rational menu</strong> for <span><span>sin2θW\sin^2\theta_W</span><span><span><span>sin<span><span><span><span><span><span>2</span></span></span></span></span></span></span><span><span>θ</span><span><span><span><span><span><span>W</span></span></span><span></span></span></span></span></span></span></span></span> and a weighting functional <span><span>FselF_{\mathrm{sel}}</span><span><span><span><span>F</span><span><span><span><span><span><span><span>sel</span></span></span></span><span></span></span></span></span></span></span></span></span> (including APS/ABK, smoothness, and RG terms) favors the PDG value <span><span>sin2θW≃0.231 \sin^2\theta_W \simeq 0.231</span><span><span><span>sin<span><span><span><span><span><span>2</span></span></span></span></span></span></span><span><span>θ</span><span><span><span><span><span><span>W</span></span></span><span></span></span></span></span></span><span>≃</span></span><span><span>0.231</span></span></span></span>; (ii) the <strong>neutrino hierarchy</strong>, where the <strong>inverted hierarchy (IH)</strong> is framed as a <strong>closure obstruction</strong> (falsifiable by JUNO/DUNE/Hyper-K), the <strong>normal hierarchy (NH)</strong> survives, and <span><span>δCP\delta_{\mathrm{CP}}</span><span><span><span><span>δ</span><span><span><span><span><span><span><span>CP</span></span></span></span><span></span></span></span></span></span></span></span></span> is restricted to a <strong>discrete set</strong>; (iii) the <strong>CKM sector</strong>, where closure prunes discrete CKM classes and kaon phenomenology (<span><span>εK\varepsilon_K</span><span><span><span><span>ε</span><span><span><span><span><span><span>K</span></span></span><span></span></span></span></span></span></span></span></span>) selects a small survivor set; and (iv) a clearly labeled <strong>speculative</strong> parallel to cosmological filament “resonances.” A stability <strong>trichotomy</strong> (attractors / resonances / obstructed) is quantified with lifetime–mass scaling; dark matter is suggested to fit the <strong>long-lived resonance</strong> slot (falsifiable if a new exactly stable attractor were found). Throughout, results are presented as <strong>structural constraints</strong> and <strong>menus</strong>; <strong>data choose the survivors</strong> and can <strong>falsify</strong> the framework.</p> |
| title | Selector Closure, Constants, and Structural Obstructions in the Neutrino and CKM Sectors |
| topic | selector closure anomaly inflow electroweak mixing sin^2(theta_W) neutrino hierarchy CP violation (δ_CP) CKM matrix kaon phenomenology (ε_K) lifetime–mass scaling stability trichotomy dark matter resonance falsifiability |
| url | https://doi.org/10.5281/zenodo.17080306 |