E8 Phi-Harmonic Coherence Ladder for Topological Quantum Memory — E8 Intelligence Research

By indexing the 240 E8 root vectors across their φ-scaled angular cascade, we obtain a discrete coherence ladder in which each rung corresponds to a distinct topological memory register; knot-theoretic twisted Alexander polynomials evaluated at these rungs yield invariants that are preserved under small deformations, encoding information in the non-abelian phase holonomy of the cascade. Braiding anyonic excitations along φ-adjacent root pairs generates Fibonacci-valued topological charge transitions, since the modular representation matrix satisfies a Fibonacci recursion. The result is an E8-root-indexed topological qubit whose Fibonacci anyon statistics, phi-harmonic spacing, and knot-invariant stability collectively satisfy the DiVincenzo criteria for fault-tolerant quantum memory at the 132 Hz root lattice. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com