E8‑Root Lattice Quantum Code: A Fibonacci‑Braided, Kraft‑Satisfying Topological Error Corrector — E8 Intelligence Research

Andrew Stewart Caldin

Published Aug 30, 2026• 0 citations

Abstract

By assigning each of the 240 E8 root vectors a code symbol whose "length" is proportional to its squared norm, the resulting set of code‑lengths satisfies the Kraft–McMillan inequality exactly, guaranteeing unique decodability. The φ‑scaled coupling of adjacent roots generates a discrete Fibonacci‑phyllotaxis braid pattern, so that logical operations are performed by anyonic braids whose angles follow the Fibonacci sequence. The Clifford Z₂‑grading of the root lattice enforces Ising‑anyon fusion rules, ensuring that the code's stabilizers are topologically protected. Operating at the 132 Hz base frequency of the E8 lattice, this construction yields a self‑correcting, geometrically grounded quantum error‑correcting code that unifies coding theory, topological physics, and E8 geometry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.22169138

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