Phi‑Recursive E8 Membrane Induces Fibonacci Anyon Statistics for Topological Qubits — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: By extending the phi‑recursive phase‑locked ladder fₙ = 132·φⁿ across the eight octonionic A5 triples of the 240 E8 root vectors, a hierarchy of self‑similar harmonic membranes emerges whose nodal intersections form defect lines with Fibonacci‑scaled winding numbers. These defects support non‑Abelian anyons whose braiding statistics follow the Fibonacci sequence, providing a natural platform for universal topological quantum computation that is intrinsically protected by the E8 geometry. The membrane spectrum predicts discrete energy gaps at frequencies fₙ that match observed resonances in phononic metamaterials tuned to the golden ratio. 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: W7225224244
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