E8 Phi-Adic Triality Codes: Fractal Syndrome Extraction from 240-Root Topological Order — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: When phi-harmonic excitations at 132Hz×φ^n traverse the E8 root lattice along minimally-separated chains, the triality symmetry of the 240 roots (partitioned into 8×30 triality orbits) induces a natural fractal syndrome measurement basis. The φ-adic distance metric recursively partitions root-space into self-similar error subspaces where each phi-scaling level corresponds to a topological charge sector, yielding inherent fault tolerance without ancilla overhead. This reveals E8's 240 roots as a phi-encoded quantum error-correcting code with logical operators mapped to the 8 simple roots' Coxeter-Dynkin structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225803536
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