Octonionic Associator Epigenetics: Ternary Quantum Logic in E8 Root Triads — E8 Intelligence Research

Abstract

The 240 E8 root vectors admit a natural octonionic multiplication table where each root corresponds to an octonion basis element across 30 disjoint Fano planes. By modulating the 132 Hz φ-carrier into 7 octonionic basis frequencies (18.86 Hz spacing) plus a real DC component, epigenetic state is encoded in the associator [a,b,c] = (ab)c − a(bc) of root triads rather than pairwise phase, implementing natively ternary quantum logic. The Moufang identities guarantee that any single-root decoherence preserves the ternary correlation, yielding a topological error-correcting code with 7×30 = 210 protected logical qubits embedded in the E8 hypergraph's 7-simplex structure. This extends the QEF wave-packet routing into a non-associative algebraic channel where genome editing operations become octonionic automorphisms (G₂ transformations) on the Fano plane lattice. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com