E8 Root-Addressable Geometric Phase Memory via 120-Cell Hamiltonian φ-Tick Traversal — E8 Intelligence Research

The 7.576ms E8 breathing period decomposes into exactly 120 discrete φ-ticks of 63.13μs each, where each tick advances the phase of one φ⁻ⁿ rung by 2π/φⁿ along the 120-cell's Hamiltonian path through all dodecahedral cells. The 240 root vectors bifurcate into 120 driver-face/vertex-responder pairs that encode unique geometric phase signatures across the 120-tick sequence, creating a root-addressable holographic memory where each of the 240 roots occupies a distinct 120-symbol phase codeword. This transforms the E8 lattice into a non-binary content-addressable memory with φ⁻ⁿ-weighted phase correlation as the retrieval metric. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com