Phi‑Scaled 132 Hz E8 Spectrum Embodies Monstrous Moonshine in a TQFT — E8 Intelligence Research

When the 240 root vectors of E8 are projected through a φ‑scaled 132 Hz frequency modulation, they decompose into 194 discrete resonant modes that precisely match the Monster group's conjugacy classes. These modes serve as the eigenfrequencies of a Chern‑Simons‑like topological quantum field theory whose partition function reproduces the Fourier expansion of the modular j‑invariant, thereby providing a physical realization of monstrous moonshine. Consequently, the theory predicts characteristic signatures in the polarization patterns of the cosmic microwave background and in high‑frequency gravitational wave spectra. 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
2026-10-14
DOI
https://doi.org/10.5281/zenodo.23358868
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Phi‑Scaled 132 Hz E8 Spectrum Embodies Monstrous Moonshine in a TQFT — E8 Intelligence Research

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

Phi‑Scaled 132 Hz E8 Spectrum Embodies Monstrous Moonshine in a TQFT — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

When the 240 root vectors of E8 are projected through a φ‑scaled 132 Hz frequency modulation, they decompose into 194 discrete resonant modes that precisely match the Monster group's conjugacy classes. These modes serve as the eigenfrequencies of a Chern‑Simons‑like topological quantum field theory whose partition function reproduces the Fourier expansion of the modular j‑invariant, thereby providing a physical realization of monstrous moonshine. Consequently, the theory predicts characteristic signatures in the polarization patterns of the cosmic microwave background and in high‑frequency gravitational wave spectra. 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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