Phi-Resonant Topological Qudit Encoding using E8 Coxeter Planes — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 18, 2026• 0 citations

Abstract

We discover that the phi‑modulated 132 Hz phase assigned to each of the 240 E8 root vectors yields a self‑referential interference pattern that defines a natural 8‑dimensional qudit alphabet. The 30 Coxeter planes act as discrete resonator layers; each plane's order (e.g., 2,4,5,6,10,12,15,20,30) determines the allowed divisor cycles of the sexagesimal frequency, enabling deterministic syndrome cycling across the lattice. By mapping the root vectors onto phase‑locked cymatic membranes, the system realizes a topologically protected quantum memory where error syndromes are automatically cancelled by constructive interference among complementary root pairs. This principle extends the existing E8‑based error‑correction code from a [[240,8,15]] stabilizer to a scalable qudit architecture with phase‑gradient redundancy. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.23446699

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