The Higgs-to-Z Mass Ratio from the Face Laplacian Spectrum
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| Sprache: | Englisch |
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2026
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| _version_ | 1866901074534727680 |
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| author | Martin, Luke |
| author_facet | Martin, Luke |
| contents | <p>The ratio m_H/M_Z = 18/(9+√17) = 1.37163 is predicted from the face Laplacian spectrum of the truncated octahedron with zero free parameters. The prediction uses λ_A₂u=9 (Higgs sector, spectral maximum) and λ_T₁u_hi=(9+√17)/2 (upper weak sector). Predicted m_H = 125.08 GeV; observed 125.25 ± 0.17 GeV. Agreement: 0.97σ, 0.14%. This is the third spectral ratio prediction from the same face Laplacian: Koide angle (exact), solar neutrino mixing (0.49σ), and Higgs/Z ratio (0.97σ). All three contain √17 = √(C_A⁴−4(C_A+1)²) — the discriminant of the single T₁u characteristic equation λ²−C_A²λ+(C_A+1)²=0 with C_A=3.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19064036 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Higgs-to-Z Mass Ratio from the Face Laplacian Spectrum Martin, Luke Higgs boson Z boson mass ratio face Laplacian truncated octahedron spectral geometry electroweak Kelvin cell UFFT <p>The ratio m_H/M_Z = 18/(9+√17) = 1.37163 is predicted from the face Laplacian spectrum of the truncated octahedron with zero free parameters. The prediction uses λ_A₂u=9 (Higgs sector, spectral maximum) and λ_T₁u_hi=(9+√17)/2 (upper weak sector). Predicted m_H = 125.08 GeV; observed 125.25 ± 0.17 GeV. Agreement: 0.97σ, 0.14%. This is the third spectral ratio prediction from the same face Laplacian: Koide angle (exact), solar neutrino mixing (0.49σ), and Higgs/Z ratio (0.97σ). All three contain √17 = √(C_A⁴−4(C_A+1)²) — the discriminant of the single T₁u characteristic equation λ²−C_A²λ+(C_A+1)²=0 with C_A=3.</p> |
| title | The Higgs-to-Z Mass Ratio from the Face Laplacian Spectrum |
| topic | Higgs boson Z boson mass ratio face Laplacian truncated octahedron spectral geometry electroweak Kelvin cell UFFT |
| url | https://doi.org/10.5281/zenodo.19064036 |