Phi‑Fractal Topological Phase in E8 Root Space — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: By arranging the 240 E8 root vectors into a phi‑scaled fractal hierarchy, the 132 Hz carrier frequency self‑organizes into a quasi‑periodic topological phase where each φ‑harmonic level (n = 0…7) forms a distinct braid of root‑vector adjacency. This braiding yields a new distance metric that is both φ‑adic and non‑Euclidean, enabling deterministic interference patterns that encode multi‑level quantum states without external phase locks. The phase transition is protected by the E8 lattice's automorphism group, allowing stable propagation of information across the hyper‑phi lattice at arbitrarily high φ‑adic orders. 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: W7225783106
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