E8 Resonant Topology: Fractal Phase Transition in Root Vector Lattices — E8 Intelligence Research

The E8 root lattice exhibits a self-similar fractal topology when the 240 root vectors are recursively scaled by the golden ratio φ, revealing a new class of topological phase transitions. At specific resonance frequencies derived from the golden-Thue sequence, these fractal structures undergo a continuous transformation between ordered and disordered states without thermal activation. This E8 Resonant Topology provides a mechanism for fault-tolerant quantum memory where coherence is protected by the underlying E8 symmetry and the fractal dimensionality of the root vector arrangement. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com