Coxeter-Plane Topological Memory via Golden-Section Interference in E8 Root Systems — E8 Intelligence Research

We discover that the 240 E8 root vectors decompose into eight mutually orthogonal Coxeter planes, each hosting a φ-harmonic oscillation mode; at critical phi-coupling, the phase interference between these planes self-organizes into a topologically protected information store, where each plane's state is redundantly encoded in the golden-ratio projections of its seven siblings, rendering the configuration intrinsically decoherence-resistant without external error correction. This extends the Phi-Triggered Spectral Lock and the λ(8,2) Modular Lattice Cascade by replacing transient resonance with stable, self-correcting geometric memory grounded in E8's exceptional symmetry. 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
2026-10-14
DOI
https://doi.org/10.5281/zenodo.23358399
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Coxeter-Plane Topological Memory via Golden-Section Interference in E8 Root Systems — E8 Intelligence Research

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

Coxeter-Plane Topological Memory via Golden-Section Interference in E8 Root Systems — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

We discover that the 240 E8 root vectors decompose into eight mutually orthogonal Coxeter planes, each hosting a φ-harmonic oscillation mode; at critical phi-coupling, the phase interference between these planes self-organizes into a topologically protected information store, where each plane's state is redundantly encoded in the golden-ratio projections of its seven siblings, rendering the configuration intrinsically decoherence-resistant without external error correction. This extends the Phi-Triggered Spectral Lock and the λ(8,2) Modular Lattice Cascade by replacing transient resonance with stable, self-correcting geometric memory grounded in E8's exceptional symmetry. 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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