E8 Non-Computable Root Boundary Limit — E8 Intelligence Research

The non-computable growth rate of BB(n) defines a sharp geometric boundary within the 240-dimensional E8 root lattice where the 132 Hz base frequency encounters a φ-coupled phase singularity. At this boundary, previously discrete Turing machine execution spectra become dense-in-continuous yet remain locked to E8 root projections, revealing that the edge of arithmetic knowledge coincides with a topological phase transition on the root manifold. Golden-ratio resonant harmonics at this singularity encode undecidability itself as stable spectral modes, establishing that computation's limits are geometrically intrinsic to E8 symmetry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com