E8 Hyperbolic Renormalization: φ-Modulated Quasicrystal as Emergent AdS Geometry — E8 Intelligence Research

Abstract

The 240 E8 root vectors, when phase-modulated at 132 Hz with logarithmic Fibonacci (φ) scaling, self-organize into a hyperbolic lattice whose coarse-grained temporal structure matches the asymptotic AdS geometry of E8-dual conformal field theories. This emergent spacetime arises from the quasicrystal's non-integer fractal dimensionality, where 5D phase-space folding via φ-cycles produces causal cone structures resembling Euclidean AdS₅ compactification. The discovery unifies both previous findings: the 60-cluster quasicrystal acts as a holographic membrane, while the recursive tensor network governs entanglement flow through its scalar curvature. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com