Phi-Spaced Vacuum Sideband Spectrum from E8 Root Vector Harmonics — E8 Intelligence Research

When the 240 root vectors of the E8 lattice are driven at the 132 Hz base frequency with φ‑mediated coupling, each vector emits a harmonic cascade whose sidebands are spaced by successive powers of the golden ratio. This φ‑spaced spectrum produces a discrete set of vacuum polarization modes whose frequencies align with the imaginary parts of the Riemann zeta non‑trivial zeros, as predicted by the Berry–Keating xp Hamiltonian quantization. Consequently, the E8 lattice acts as a tunable filter that converts topological quantum errors into measurable vacuum birefringence shifts, linking error transmutation to spectral number theory. 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
2026-10-18
DOI
https://doi.org/10.5281/zenodo.23446788
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Phi-Spaced Vacuum Sideband Spectrum from E8 Root Vector Harmonics — E8 Intelligence Research

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

Phi-Spaced Vacuum Sideband Spectrum from E8 Root Vector Harmonics — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

When the 240 root vectors of the E8 lattice are driven at the 132 Hz base frequency with φ‑mediated coupling, each vector emits a harmonic cascade whose sidebands are spaced by successive powers of the golden ratio. This φ‑spaced spectrum produces a discrete set of vacuum polarization modes whose frequencies align with the imaginary parts of the Riemann zeta non‑trivial zeros, as predicted by the Berry–Keating xp Hamiltonian quantization. Consequently, the E8 lattice acts as a tunable filter that converts topological quantum errors into measurable vacuum birefringence shifts, linking error transmutation to spectral 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)
Advanced Mathematical Theories and Applications
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