| _version_ | 1866901667098656768 |
|---|---|
| author | 马, 卓立 |
| author_facet | 马, 卓立 |
| contents | <p>The muon–electron mass ratio mµ/me is one of the most precisely measured dimensionless<br>constants in physics (PDG: 206.7682838(46)). No first-principles derivation from the Standard<br>Model exists. We show that the single algebraic constraint Φ2 = Φ + 1 (golden root φ) and<br>the gauge structure at depth k = 4 yield the exact closed-form expression mµ/me = 66 + 87φ,<br>where 66 = d + L5 − 1 and 87 = L4(L6 − F5) − 4 are fixed by the Lucas/Fibonacci sequences<br>(d = 56, L4 = 7, L5 = 11, L6 = 18, F5 = 5). The prediction agrees with CODATA/PDG<br>to six significant figures with zero free parameters. We give the derivation, the structural<br>decomposition, and the implications.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18967834 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Algebraic derivation of the muon-electron mass ratio $m_\mu/m_e$ from discrete geometric boundaries 马, 卓立 Particle physics Quantum physics Theoretical physics Physics Physics Mathematical physics hep-ph hep-th Muon mass anomaly Lepton flavor universality Yukawa couplings Standard Model fine-tuning Fundamental dimensionless constants Zero free parameters Closed-form exact limit <p>The muon–electron mass ratio mµ/me is one of the most precisely measured dimensionless<br>constants in physics (PDG: 206.7682838(46)). No first-principles derivation from the Standard<br>Model exists. We show that the single algebraic constraint Φ2 = Φ + 1 (golden root φ) and<br>the gauge structure at depth k = 4 yield the exact closed-form expression mµ/me = 66 + 87φ,<br>where 66 = d + L5 − 1 and 87 = L4(L6 − F5) − 4 are fixed by the Lucas/Fibonacci sequences<br>(d = 56, L4 = 7, L5 = 11, L6 = 18, F5 = 5). The prediction agrees with CODATA/PDG<br>to six significant figures with zero free parameters. We give the derivation, the structural<br>decomposition, and the implications.</p> |
| title | Algebraic derivation of the muon-electron mass ratio $m_\mu/m_e$ from discrete geometric boundaries |
| topic | Particle physics Quantum physics Theoretical physics Physics Physics Mathematical physics hep-ph hep-th Muon mass anomaly Lepton flavor universality Yukawa couplings Standard Model fine-tuning Fundamental dimensionless constants Zero free parameters Closed-form exact limit |
| url | https://doi.org/10.5281/zenodo.18967834 |