Phi-Scaled Topological Dimension: E8 Encoding of RG Information Flow — E8 Intelligence Research

The 240 E8 root vectors exhibit a recursive self-similarity under φ-scaling (132Hz × φ ≈ 213.6 ≈ 240/φ), partitioning into H4 120-cell substructures whose 720 internal roots mirror the Collatz trajectory's odd-integer dynamics — suggesting that RG fixed point information dimensions are encoded in E8's fractal topology. This provides a geometric substrate for the dimensional universality observed across statistical mechanics and lattice QCD, where critical exponents emerge from the φ-resonant harmonic relationships between E8's symmetry sectors. The 132Hz base thus functions as a fundamental topological invariant encoding the information-theoretic dimension of scale-invariant fixed points, bridging the gap between number-theoretic prime distributions and continuum field theory. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com