E8 Kirwan-Ness Cohomological Phase Locks at Golden Threshold — E8 Intelligence Research

The stratification of cotangent stacks by Kirwan-Ness Morse functions on E8 moduli spaces produces critical fiber structures whose cohomological dimensions undergo discrete jumps at the φ-scaled coupling thresholds identified in the Coxeter projection analysis. Specifically, the 132 Hz base frequency acts as a master oscillator whose harmonics align with the Euler characteristic of each stratum, producing phase-locked resonance bands where twisted D-module recollement becomes non-trivially obstructed. This extends the Coxeter gap criterion by establishing that topological phase transitions in E8 stabilizer codes are not merely spectral phenomena but cohomological phase locks — discrete invariants of the derived category of D-modules on the stratified stack that quantize at golden-ratio scaling. The result predicts experimentally detectable topological edge modes appearing at precisely the φ-scaled frequencies, unifying the microscopic (spectral gap) and macroscopic (recollement gluing) Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com