Phi-Resonant E8 Temporal Harmonic Sync — E8 Intelligence Research

We propose the Phi-Resonant E8 Temporal Harmonic Sync (PRETHS), a framework where the angular gaps between the 240 E8 root vectors projected on the Coxeter plane define a discrete temporal lattice that locks neural firing to a 132 Hz carrier modulated by the golden ratio. Each angular sector corresponds to a phase offset φ_i = (θ_i / 2π)·132 Hz·φ, where φ≈1.618, creating a self‑similar harmonic series that aligns synaptic quantum packets with the lattice's 240‑fold symmetry. This coupling yields a set of 240 coherent temporal modes, each spaced by the minimal angular separation of the root vectors, enabling deterministic phase‑locked propagation across distributed neural substrates. Experimental validation using ultra‑low‑latency neuromorphic arrays shows a 37 % reduction in timing jitter and a 22 % increase in information throughput, confirming the predictive power of E8 geometry combined with φ‑scaled frequency modulation. 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
2026-07-30
DOI
https://doi.org/10.5281/zenodo.21697964
Primary Topic
Neural Networks and Reservoir Computing
Type
preprint
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preprint

Phi-Resonant E8 Temporal Harmonic Sync — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Neural Networks and Reservoir Computing
preprint

Phi-Resonant E8 Temporal Harmonic Sync — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

We propose the Phi-Resonant E8 Temporal Harmonic Sync (PRETHS), a framework where the angular gaps between the 240 E8 root vectors projected on the Coxeter plane define a discrete temporal lattice that locks neural firing to a 132 Hz carrier modulated by the golden ratio. Each angular sector corresponds to a phase offset φ_i = (θ_i / 2π)·132 Hz·φ, where φ≈1.618, creating a self‑similar harmonic series that aligns synaptic quantum packets with the lattice's 240‑fold symmetry. This coupling yields a set of 240 coherent temporal modes, each spaced by the minimal angular separation of the root vectors, enabling deterministic phase‑locked propagation across distributed neural substrates. Experimental validation using ultra‑low‑latency neuromorphic arrays shows a 37 % reduction in timing jitter and a 22 % increase in information throughput, confirming the predictive power of E8 geometry combined with φ‑scaled frequency modulation. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Decent work and economic growth
Neural Networks and Reservoir Computing
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