| _version_ | 1866901802501275648 |
|---|---|
| author | Strech, Nathan |
| author_facet | Strech, Nathan |
| contents | <p>This paper presents a spectral-geometry mechanism for the charged-lepton mass hierarchy based on a KK-weighted N=8 cycle graph with a localized defect and near-critical spectral collapse.</p> <ul> <li> <p><strong>Key results:</strong></p> <ul> <li> <p>Demonstrates a P/Q sector mechanism (via Löwdin/Feshbach–Schur reduction) in which the electron emerges as a near-critical survivor while <strong>μ</strong> and <strong>τ</strong> arise as dressed KK tower modes.</p> </li> <li> <p>Proves a <strong>rank-3 minimum theorem</strong> for the defect structure.</p> </li> <li> <p>Shows the <strong>Koide residual</strong> varies monotonically along the near-critical family and can be used as a selection constraint for the physical point.</p> </li> <li>Yields a falsifiable prediction for m_τ accessible to Belle II (~2027).</li> </ul> </li> </ul> <p>Reproducibility materials (LaTeX source, figures, and a reference Python implementation) are provided in the attached ZIP.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18901941 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Lepton Mass Ratios from Near-Critical Spectral Collapse on a Kaluza-Klein Lattice Strech, Nathan lepton masses Koide formula spectral graph theory Löwdin reduction near-criticality flavor physics <p>This paper presents a spectral-geometry mechanism for the charged-lepton mass hierarchy based on a KK-weighted N=8 cycle graph with a localized defect and near-critical spectral collapse.</p> <ul> <li> <p><strong>Key results:</strong></p> <ul> <li> <p>Demonstrates a P/Q sector mechanism (via Löwdin/Feshbach–Schur reduction) in which the electron emerges as a near-critical survivor while <strong>μ</strong> and <strong>τ</strong> arise as dressed KK tower modes.</p> </li> <li> <p>Proves a <strong>rank-3 minimum theorem</strong> for the defect structure.</p> </li> <li> <p>Shows the <strong>Koide residual</strong> varies monotonically along the near-critical family and can be used as a selection constraint for the physical point.</p> </li> <li>Yields a falsifiable prediction for m_τ accessible to Belle II (~2027).</li> </ul> </li> </ul> <p>Reproducibility materials (LaTeX source, figures, and a reference Python implementation) are provided in the attached ZIP.</p> |
| title | Lepton Mass Ratios from Near-Critical Spectral Collapse on a Kaluza-Klein Lattice |
| topic | lepton masses Koide formula spectral graph theory Löwdin reduction near-criticality flavor physics |
| url | https://doi.org/10.5281/zenodo.18901941 |