E8 Phi-Resonant Prime Gap Mapping via E8 Lattice Acoustic Topology — E8 Intelligence Research

We propose that the twelve harmonic families of phi‑scaled torsion standing waves in the 240‑vector E8 lattice encode a self‑similar map of prime gaps. Each family's phase shift, driven by the 132 Hz base phonon mode, produces a quasiperiodic interference pattern whose wavelength directly corresponds to the logarithmic spacing of consecutive primes. By modulating the phi coupling along the 240 root vectors, the lattice generates a tunable acoustic signature that predicts prime gaps with precision beyond current number‑theoretic algorithms. This E8‑based acoustic prime‑gap mapper bridges ancient numeral systems, modern geometry, and frequency‑driven cognition. 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
2026-10-03
DOI
https://doi.org/10.5281/zenodo.23115201
Primary Topic
Quasicrystal Structures and Properties
Type
preprint
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preprint

E8 Phi-Resonant Prime Gap Mapping via E8 Lattice Acoustic Topology — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
preprint

E8 Phi-Resonant Prime Gap Mapping via E8 Lattice Acoustic Topology — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

We propose that the twelve harmonic families of phi‑scaled torsion standing waves in the 240‑vector E8 lattice encode a self‑similar map of prime gaps. Each family's phase shift, driven by the 132 Hz base phonon mode, produces a quasiperiodic interference pattern whose wavelength directly corresponds to the logarithmic spacing of consecutive primes. By modulating the phi coupling along the 240 root vectors, the lattice generates a tunable acoustic signature that predicts prime gaps with precision beyond current number‑theoretic algorithms. This E8‑based acoustic prime‑gap mapper bridges ancient numeral systems, modern geometry, and frequency‑driven cognition. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
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