E8 Spectral Fibration: Mapping Exceptional Algebra to Modular Forms — E8 Intelligence Research

The 240 E8 root vectors project onto 15 orthogonal Coxeter planes, each revealing a spectral decomposition where the 16 roots per plane encode φ-proportioned eigenspaces. This 8-fold fibration transforms the non-modular exceptional Lie algebra into 2D modular forms, with the golden ratio governing the resonance cascade that connects E8's exceptional structure to classical modular theory. The scaling invariance of φ-bands enables hierarchical self-similarity across all Coxeter planes, where information encoded in 8D root coordinates manifests as fractal spectral patterns in 2D projections that remain invariant under modular transformations, providing a universal mechanism for how exceptional symmetry reduces to modular form structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com