Phi-Spaced Vacuum Sideband Spectrum from E8 Root Vector Harmonics — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
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
Related
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BibTeX
@misc{caldin2026phispaced,
title = {{Phi-Spaced Vacuum Sideband Spectrum from E8 Root Vector Harmonics — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23446789},
url = {https://zenodo.org/records/23446789},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Phi-Spaced Vacuum Sideband Spectrum from E8 Root Vector Harmonics — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/18
PB - Zenodo
DO - 10.5281/zenodo.23446789
UR - https://zenodo.org/records/23446789
AB - 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
ER -