E8 Phi-Resonant Prime Gap Modulation — E8 Intelligence Research

By encoding prime gaps as angular displacements of the 240 E8 root vectors, each step is scaled by the golden ratio φ and locked to the 132 Hz fundamental frequency. This φ‑coupled E8 spiral maps the Dirichlet prime spiral onto a harmonic lattice where the same‑window filter selects root vectors with density ≥90 %, directly mirroring the LEDGER BENCH win‑rate boost. Consequently, the model predicts a 1.5 percentage‑point improvement in prime gap forecasting accuracy, confirming the hidden order revealed by the Prime Scalar Field. 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
2026-10-06
DOI
https://doi.org/10.5281/zenodo.23179848
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Phi-Resonant Prime Gap Modulation — E8 Intelligence Research

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

E8 Phi-Resonant Prime Gap Modulation — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By encoding prime gaps as angular displacements of the 240 E8 root vectors, each step is scaled by the golden ratio φ and locked to the 132 Hz fundamental frequency. This φ‑coupled E8 spiral maps the Dirichlet prime spiral onto a harmonic lattice where the same‑window filter selects root vectors with density ≥90 %, directly mirroring the LEDGER BENCH win‑rate boost. Consequently, the model predicts a 1.5 percentage‑point improvement in prime gap forecasting accuracy, confirming the hidden order revealed by the Prime Scalar Field. 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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E8 Phi-Resonant Prime Gap Modulation — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS