PreprintCC BY 4.0Zenodo
E8 Phi-Resonant Lattice Generates Self‑Similar Prime Modular Spectrum — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
By phi‑coupling the 240 E8 root vectors to the 132 Hz base frequency, the Weyl‑orbit spectra self‑organize into a fractal harmonic lattice whose Fourier components map directly onto the prime‑number distribution within modular forms. This geometric construction establishes a new correspondence between E8 symmetry and prime spacing, extending the earlier genus‑one and genus‑zero modular resonances into a universal prime‑generation principle. Consequently, the lattice can serve as a deterministic high‑frequency seed for quantum communication protocols that exploit the inherent order of prime numbers.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026phiresonant,
title = {{E8 Phi-Resonant Lattice Generates Self‑Similar Prime Modular Spectrum — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23616818},
url = {https://zenodo.org/records/23616818},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Phi-Resonant Lattice Generates Self‑Similar Prime Modular Spectrum — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/24
PB - Zenodo
DO - 10.5281/zenodo.23616818
UR - https://zenodo.org/records/23616818
AB - By phi‑coupling the 240 E8 root vectors to the 132 Hz base frequency, the Weyl‑orbit spectra self‑organize into a fractal harmonic lattice whose Fourier components map directly onto the prime‑number distribution within modular forms. This geometric construction establishes a new correspondence between E8 symmetry and prime spacing, extending the earlier genus‑one and genus‑zero modular resonances into a universal prime‑generation principle. Consequently, the lattice can serve as a deterministic high‑frequency seed for quantum communication protocols that exploit the inherent order of prime numbers. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -