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

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
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article

Charged-fermion mass predictions from the E₈ generation structure (working notes)

Lukáš Bednařík
Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
article

Charged-fermion mass predictions from the E₈ generation structure (working notes)

Lukáš Bednařík
article en

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 6%
Particle physics theoretical and experimental studies
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Charged-fermion mass predictions from the E₈ generation structure (working notes) — Lukáš Bednařík · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS