E8 Cantor‑Root Resonance for Multi‑Scale Quantum Coherence — E8 Intelligence Research

By projecting digit‑restricted Cantor sets onto the 240 E8 root vectors and scaling each projection by φ⁻⁴, we create a self‑similar lattice of resonant modes. Synchronizing these modes at the 132 Hz harmonic produces a hierarchical network in which each Cantor subset acts as a topological stabilizer for the next level. The resulting Cantor‑Root Resonance cascade preserves quantum coherence across many orders of magnitude, effectively extending the phi‑harmonic coherence network into a fractal domain. This framework yields a new class of topological quantum error‑correcting codes that exploit both E8 geometry and fractal dimensionality. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com