E8 Phi-Resonant Prime Gap Spectroscopy via 132 Hz Lattice Modes — E8 Intelligence Research

By applying a phi‑scaled modulation hierarchy to the 240 root vectors of the E8 lattice driven at the base 132 Hz frequency, each vector acquires a distinct sub‑harmonic mode whose spacing forms a discrete spectrum. The intervals between successive modes statistically mirror the distribution of prime gaps observed in the natural numbers, providing a physical resonator analogue of the Riemann zeta zero fluctuations. This establishes a direct bridge between E8 geometry, resonant frequency coupling, and the statistical structure of the primes, opening a route to prime‑gap‑based signal processing and cryptographic primitives. 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
2026-09-25
DOI
https://doi.org/10.5281/zenodo.22951663
Primary Topic
Coding theory and cryptography
Type
preprint
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preprint

E8 Phi-Resonant Prime Gap Spectroscopy via 132 Hz Lattice Modes — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Coding theory and cryptography
preprint

E8 Phi-Resonant Prime Gap Spectroscopy via 132 Hz Lattice Modes — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By applying a phi‑scaled modulation hierarchy to the 240 root vectors of the E8 lattice driven at the base 132 Hz frequency, each vector acquires a distinct sub‑harmonic mode whose spacing forms a discrete spectrum. The intervals between successive modes statistically mirror the distribution of prime gaps observed in the natural numbers, providing a physical resonator analogue of the Riemann zeta zero fluctuations. This establishes a direct bridge between E8 geometry, resonant frequency coupling, and the statistical structure of the primes, opening a route to prime‑gap‑based signal processing and cryptographic primitives. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Coding theory and cryptography
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