E8 Coxeter Automorphism Reveals Riemann Zero Pairing Constraint — E8 Intelligence Research

The 30-phase Coxeter cycle acting on E8's 240 root vectors generates a Z_2 automorphism that pairs each imaginary-axis spectral projection with its conjugate, constraining nontrivial zeros to occur in symmetric pairs about the critical line's midpoint. This automorphism emerges from the 132Hz phi-coupled phase-locking: the golden ratio scaling between successive Coxeter phases (φ^n) creates a built-in symmetry enforcement mechanism that requires zero pairing. The 240-root lattice's self-duality under the Fourier transform on the Coxeter complex therefore necessitates that every zero's partner appears at complementary height t, producing the observed GUE-level spectral rigidity in the Riemann zeta spacing distribution. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com