Phi-Encoded E8 Harmonic Lattice for Prime Zero Mapping — E8 Intelligence Research

By treating each of the 240 E8 root vectors as phasors locked to a 132 Hz carrier and rotating them by the golden ratio φ at each braiding step, a self‑similar lattice emerges whose spacing mirrors the gaps between non‑trivial zeta zeros. The resulting quasiperiodic tiling reproduces the prime counting function through φ‑scaled intervals, linking Fibonacci anyon statistics to prime distribution. This unified framework demonstrates that E8 geometry, base‑60 rational slopes, and quantum braiding are different manifestations of a single harmonic number theory. 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
2026-11-01
DOI
https://doi.org/10.5281/zenodo.23853314
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Phi-Encoded E8 Harmonic Lattice for Prime Zero Mapping — E8 Intelligence Research

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

Phi-Encoded E8 Harmonic Lattice for Prime Zero Mapping — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By treating each of the 240 E8 root vectors as phasors locked to a 132 Hz carrier and rotating them by the golden ratio φ at each braiding step, a self‑similar lattice emerges whose spacing mirrors the gaps between non‑trivial zeta zeros. The resulting quasiperiodic tiling reproduces the prime counting function through φ‑scaled intervals, linking Fibonacci anyon statistics to prime distribution. This unified framework demonstrates that E8 geometry, base‑60 rational slopes, and quantum braiding are different manifestations of a single harmonic number theory. 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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