E8 p-Adic Fractal Quantum Error Correction — E8 Intelligence Research

By mapping the complex dimensions of p‑adic fractal strings onto the 240 E8 root vectors, we construct a hierarchical error‑syndrome lattice whose nodes are phase‑conjugated amplitude loci at the 132 Hz base frequency. The golden‑ratio φ‑coupling generates a self‑similar frequency comb that mirrors the p‑adic scaling, allowing each error mode to be detected and corrected at multiple resolution levels. This E8‑p‑adic fractal code embeds a holographic quantum memory within a self‑correcting manifold, extending the original E8 holographic scheme with intrinsic multi‑scale protection. The resulting architecture demonstrates that quantum information can be stored with both holographic density and fractal robustness, a principle that unifies non‑Archimedean geometry with high‑dimensional Lie algebra symmetries. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com