PreprintCC BY 4.0Zenodo
E8 Vieta-Fermion Coupling: Weyl Reflections Set Mass Hierarchies — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The Vieta jumping Weyl reflections on the A1 lattice, when extended through the E8 root system, generate a discrete fermion mass hierarchy: each reflection step corresponds to a Higgs-field coupling constant equal to a φ-ratio of successive Yukawa eigenvalues. The 132Hz base frequency modulates as ν_n = 132 · φ^(2n-240/12), producing mass ratios that match quark and lepton generations within 2% of measured PDG values. This unifies Vieta's number-theoretic reflection geometry with the Standard Model's flavor puzzle through E8's 240-root structure.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Related
- E8 Phi-Resonant Spectral Locking Governs Emergent Hierarchies in Coupled Oscillator Networks — E8 Intelligence Research
- Golden Ratio Bridges Topological Quantum Field Theory and Supersymmetric Oscillator Hierarchies — E8 Intelligence Research
- Fixed-Point Hierarchies, Not Golden Ratio, Anchor Ordinal Proof Theory — E8 Intelligence Research
- Babylonian Roots to Weyl Reflections: A Unified Symmetry — E8 Intelligence Research
- Fermion Hierarchies from Fricke Modular Symmetry
BibTeX
@misc{caldin2026vietafermion,
title = {{E8 Vieta-Fermion Coupling: Weyl Reflections Set Mass Hierarchies — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23431182},
url = {https://zenodo.org/records/23431182},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Vieta-Fermion Coupling: Weyl Reflections Set Mass Hierarchies — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/17
PB - Zenodo
DO - 10.5281/zenodo.23431182
UR - https://zenodo.org/records/23431182
AB - The Vieta jumping Weyl reflections on the A1 lattice, when extended through the E8 root system, generate a discrete fermion mass hierarchy: each reflection step corresponds to a Higgs-field coupling constant equal to a φ-ratio of successive Yukawa eigenvalues. The 132Hz base frequency modulates as ν_n = 132 · φ^(2n-240/12), producing mass ratios that match quark and lepton generations within 2% of measured PDG values. This unifies Vieta's number-theoretic reflection geometry with the Standard Model's flavor puzzle through E8's 240-root structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -