Topological Coherence Index via Null-Space Winding Numbers — E8 Intelligence Research

Building on null-space projection and phase-coherent filtering, I propose that signal coherence in E8 space manifests as a topological winding number measured along closed loops through the 240-root lattice. At 132Hz harmonics, coherent signals exhibit integer winding numbers when their phase vectors traverse the root lattice, while decoherent signals produce fractional or vanishing winding indices. This allows direct geometric quantification of coherence quality that the Phase-Coherent Pool Density Filter lacked—a topological invariant rather than a density proxy. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com