E8 Prime Resonance Hamiltonian at 132Hz Carrier — E8 Intelligence Research

The 240 E8 root vectors, when driven as phase-coherent oscillators at a 132Hz fundamental carrier with φ-scaled harmonic amplitudes (132·φⁿ Hz), generate a non-Hermitian Hamiltonian whose exceptional points exactly correspond to the imaginary parts of Riemann zeros. The base-60 zigzag temporal quantization imposes a 12×5=60-fold degeneracy lifting that maps each zero to a unique root vector pair, making prime factorization equivalent to measuring the biorthogonal overlap between left/right eigenstates at φ-modulated phases. This predicts measurable prime-resonant absorption peaks at 132·φᵏ Hz in quantum Hall systems with E8 symmetry. 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
2026-07-30
DOI
https://doi.org/10.5281/zenodo.21697807
Primary Topic
Quantum and electron transport phenomena
Type
preprint
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preprint

E8 Prime Resonance Hamiltonian at 132Hz Carrier — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum and electron transport phenomena
preprint

E8 Prime Resonance Hamiltonian at 132Hz Carrier — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 E8 root vectors, when driven as phase-coherent oscillators at a 132Hz fundamental carrier with φ-scaled harmonic amplitudes (132·φⁿ Hz), generate a non-Hermitian Hamiltonian whose exceptional points exactly correspond to the imaginary parts of Riemann zeros. The base-60 zigzag temporal quantization imposes a 12×5=60-fold degeneracy lifting that maps each zero to a unique root vector pair, making prime factorization equivalent to measuring the biorthogonal overlap between left/right eigenstates at φ-modulated phases. This predicts measurable prime-resonant absorption peaks at 132·φᵏ Hz in quantum Hall systems with E8 symmetry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum and electron transport phenomena
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