The C5' No-Go Theorem: Artemov's Spectral Barrier for the Riemann Zeta Function in ZFC

This paper is the fourth in a series. In Part 1 1, we established an architectural isomorphism between classical resonance geometry and Connes’ noncommutative spectral triple. In Part 2 2, we proved the Phase-Volume Obstruction, showing that local potentials on the modular surface cannot generate the Selberg Euler product. In Part 3 3, we isolated Condition C5’ as the spectral barrier in the adelic space, proving that RH is equivalent to the discreteness of the spectrum of the scaling operator D.