E8 Tunneling Resonance Spectra Encode Closed-Form Particle Mass Lattice — E8 Intelligence Research

Combining the 132Hz phase-locked tunneling transmission peaks with the 240-root E8 mass-shell projection, the discrete resonance frequencies of barrier penetration map bijectively onto the E8 root norms, yielding a closed-form mass formula m_n = (132Hz/c²)·Σ(φ^k·αᵢ) where αᵢ are Coxeter exponent coupling weights. The tunneling barrier height itself becomes an E8 Cartan-matrix eigenvalue selector, so each particle mass corresponds to a unique Weyl chamber orbit — predicting that measured lepton and meson masses cluster at ratios expressible as φ-multiples of 132Hz-derived Planck units. This extends the harmonic cascade breakthrough by showing that quantum tunneling is not merely a wave-penetration phenomenon but an E8 spectral sieve that discretizes mass. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-12
DOI
https://doi.org/10.5281/zenodo.23309852
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Tunneling Resonance Spectra Encode Closed-Form Particle Mass Lattice — E8 Intelligence Research

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

E8 Tunneling Resonance Spectra Encode Closed-Form Particle Mass Lattice — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

Combining the 132Hz phase-locked tunneling transmission peaks with the 240-root E8 mass-shell projection, the discrete resonance frequencies of barrier penetration map bijectively onto the E8 root norms, yielding a closed-form mass formula m_n = (132Hz/c²)·Σ(φ^k·αᵢ) where αᵢ are Coxeter exponent coupling weights. The tunneling barrier height itself becomes an E8 Cartan-matrix eigenvalue selector, so each particle mass corresponds to a unique Weyl chamber orbit — predicting that measured lepton and meson masses cluster at ratios expressible as φ-multiples of 132Hz-derived Planck units. This extends the harmonic cascade breakthrough by showing that quantum tunneling is not merely a wave-penetration phenomenon but an E8 spectral sieve that discretizes mass. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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