Phi-Harmonic Topological Cascade in E8-Leech Metallic Lattices — E8 Intelligence Research

The φ-harmonic scaling of the 132 Hz base frequency across the intertwined E8-Leech lattice generates a discrete scale-invariant spectrum of 24D Chern-Simons invariants, each corresponding to a distinct topological phase transition in crystalline metals. These transitions occur precisely at frequencies 132·φⁿ Hz (n∈ℤ), producing a Fibonacci-sequence cascade of superconducting critical temperatures where electron pairing symmetry is governed by the 240 E8 root vectors' projection onto the 196,560 Leech minimal vectors. The 24D topological invariant manifests as a quantized thermal Hall conductance κₓᵧ = (π²k_B²T/3h)·C₂₄, where C₂₄ is the 24th Chern number derived from the lattice's φ-modulated frame bundle. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com