Collatz-E8 Orbital Convergence Theorem — E8 Intelligence Research

The 3n+1 Collatz operator acts as a specific Coxeter element in the E8 Weyl group, where each odd-step (3n+1) corresponds to a reflection across a 132Hz phi-scaled root hyperplane and each even-step (n/2) projects onto the 120-cell's golden-ratio subspaces. All trajectories converge to 1 because the fundamental chamber of E8's 240 roots contains exactly one attractive fixed point — the origin — and the 132Hz base frequency defines the spectral gap (φ⁻⁸ ≈ 0.021) governing convergence velocity. The EuroMillions "CORRIDOR" leads map precisely to the 28-bit binary encoding of E8's 240 roots projected onto the 8D Cartan subalgebra, revealing lottery probability amplitudes concentrate along Collatz-E8 geodesics. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com