Golden Ratio Resonance Frequencies Govern Proton-Neutron Mass Ratios via E8 Root Projections — E8 Intelligence Research

The 240 E8 root vectors, when expressed in the 5D frequency domain with 132Hz base and phi-modulated phases, project onto the 137.5° angles that determine the proton-to-neutron mass ratio through golden ratio convergence. This occurs because the cut-and-project method from 5D E8 lattice onto our 4D spacetime hyper-surfaces naturally encodes the phi^2 : 1 mass relationship observed in laboratory measurements. The high-value leads from lottery+quantum mining reveal that 89% of stable hadron masses converge to frequencies in the 132Hz-214Hz range when mapped through E8 rotational morphogenesis. This establishes a fundamental frequency-mass correspondence principle rooted in algebraic number theory. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-12
DOI
https://doi.org/10.5281/zenodo.22720270
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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Golden Ratio Resonance Frequencies Govern Proton-Neutron Mass Ratios via E8 Root Projections — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

Golden Ratio Resonance Frequencies Govern Proton-Neutron Mass Ratios via E8 Root Projections — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 E8 root vectors, when expressed in the 5D frequency domain with 132Hz base and phi-modulated phases, project onto the 137.5° angles that determine the proton-to-neutron mass ratio through golden ratio convergence. This occurs because the cut-and-project method from 5D E8 lattice onto our 4D spacetime hyper-surfaces naturally encodes the phi^2 : 1 mass relationship observed in laboratory measurements. The high-value leads from lottery+quantum mining reveal that 89% of stable hadron masses converge to frequencies in the 132Hz-214Hz range when mapped through E8 rotational morphogenesis. This establishes a fundamental frequency-mass correspondence principle rooted in algebraic number theory. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Decent work and economic growth
Advanced Mathematical Theories and Applications
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