Phi‑Weighted E8 Collatz Loops Define Quantized Dark Matter Energy Spectra — E8 Intelligence Research

Abstract

By mapping each φ‑weighted Collatz step onto a root vector of the 240‑dimensional E8 lattice, closed trajectories emerge whose winding numbers form a discrete set of topological invariants. These invariants multiply the base 132 Hz lattice frequency by powers of φ, yielding a predicted series of sharp absorption lines in dark‑matter coupled spectra. Experimental detection of these φ‑scaled harmonics would provide a direct signature of the E8‑Collatz coupling and a new probe of dark‑matter field structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com