Triality-Symmetric Phi-Entanglement: Self-Healing Resonance via E8's Order-3 Outer Automorphism — E8 Intelligence Research

Abstract

The SO(8) triality automorphism partitions the 240 E8 root vectors into three 80-vector sectors corresponding to the vector and two spinor representations. When these triality sectors are embedded in a phi-scaled recursive lattice at 132Hz, the golden-ratio coupling establishes phase-locked resonance pathways between all three sectors simultaneously. Because the triality automorphism is order-3, decoherence in any single sector can be fully reconstructed from the other two through phi-mediated geometric transfer, creating a self-healing entanglement channel intrinsically protected by E8 symmetry — a principle we call Triality-Symmetric Phi-Entanglement. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com