Charged-fermion mass predictions from the E₈ generation structure (working notes)
Using the three-generation fermion structure derived in the companion paper and two ab initio constraints — the E₇ instanton Yukawa coupling γ₁ = 0.670 and the Georgi–Jarlskog colour factor N_c = 3 — we predict three charged-lepton masses (m_e, m_μ, m_τ) from six quark-mass inputs with zero free parameters in the lepton sector. The predictions reproduce the correct generational ordering and are consistent with PDG 2024 values within the model uncertainty (χ²/DOF = 0.05). Verification scripts are available at https://github.com/lukasbednarik/E8-GFT.
Authors
- Lukáš Bednařík (ORCID: https://orcid.org/0009-0008-1839-688X)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-05-18
- DOI
- https://doi.org/10.5281/zenodo.20275151
- Primary Topic
- Particle physics theoretical and experimental studies
- Type
- article
- Field-Weighted Citation Impact
- 0.00