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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.18665397 |
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Table of Contents:
- <p>--- We derive all 19 free parameters of the Standard Model from the Clifford algebra Cl(1,6) compactified on a flat three-torus T³ whose aspect ratio is fixed by a single algebraic condition, cosh(δ_h) = π/√3. The framework takes as input one algebraic structure, one topology, and one dimensionful scale (the electron mass, from which the Planck mass follows via the Higgs VEV relation). It produces: three gauge couplings, including the fine-structure constant α⁻¹ = 137.035999158 (0.14 parts per billion from experiment), the weak mixing angle sin²θ_W(M_Z) = 206/891 (0.64σ, with the tree-level value 2/9 corrected by a one-loop factor 103/99 derived from the algebra), and the strong coupling α_s(M_Z) = 0.1181 (0.09σ from the world average); six quark mass ratios and two lepton mass ratios, all within 1% of measured values — with the mass hierarchy explained by the energy-grade decomposition of the Clifford norm; four CKM and three PMNS mixing parameters, with all seven angles within 1σ; the Higgs boson mass m_H = 125.10 GeV (0.87σ); and the Higgs vacuum expectation value v = 246.23 GeV (0.004% from experiment), which resolves the hierarchy problem as v/M_P = √(2π + α) · α⁸ with the exponent 8 equal to dim Cl(0,3). The same structure, with no additional inputs, predicts Ω_Λ = tanh²(δ_h) = 0.696 (1.55σ), n_s = 27/28 (0.15σ), r = 0.0051 (testable by LiteBIRD), and Δm²₃₂/Δm²₂₁ = π⁴/3 (0.29σ). There are zero adjustable parameters. All experimental comparisons use PDG 2024, CODATA 2022, NuFit 5.2, and Planck 2018 reference values.</p>