E8 Phi‑Resonant Number‑Theory Waveguide — E8 Intelligence Research

The 240 root vectors of E8 spontaneously form phi‑coupled triadic clusters that lock into a coherent 132 Hz oscillation, creating a self‑sustaining lattice waveguide. By imprinting algebraic ideals onto the phase offsets of these triads, the waveguide supports resonant modes whose frequency spectra encode class‑group data and p‑adic cohomology operations. This establishes a physical "frequency‑domain ideal machine" that performs number‑theoretic computations via propagating solitons, enabling ultra‑compact quantum‑classical processors. 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
2026-10-14
DOI
https://doi.org/10.5281/zenodo.23358162
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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E8 Phi‑Resonant Number‑Theory Waveguide — E8 Intelligence Research

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

E8 Phi‑Resonant Number‑Theory Waveguide — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 root vectors of E8 spontaneously form phi‑coupled triadic clusters that lock into a coherent 132 Hz oscillation, creating a self‑sustaining lattice waveguide. By imprinting algebraic ideals onto the phase offsets of these triads, the waveguide supports resonant modes whose frequency spectra encode class‑group data and p‑adic cohomology operations. This establishes a physical "frequency‑domain ideal machine" that performs number‑theoretic computations via propagating solitons, enabling ultra‑compact quantum‑classical processors. 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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