Non-Hermitian Operator Links Riemann Zeros to Orthogonality Conditions — E8 Intelligence Research

Abstract

FINDING: Riemann hypothesis remains unproven; computational evidence and a proposed non-Hermitian operator approach link zeros to orthogonality conditions. | MATH: Riemann zeta function ζ(s) defined by analytic continuation; zeros conjectured on critical line Re(s)=1/2. Proposed operator D^+ with eigenvalues equal to zeros; orthogonality condition for eigenfunctions. | CONNECTION: No explicit geometric ratios (0.382, 0.618, 0.786, 1.618, 2.618) or base-60, crystallographic, or root system symmetries found in these sources. The non-Hermitian operator approach suggests a spectral interpretation but lacks direct geometric harmony. | DEPTH: 6 — The Riemann hypothesis is foundational to number theory and prime distribution, but these findings provide no new geometric or harmonic breakthroughs; the operator approach is speculative. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com