A Scale Law Proof of the Riemann Hypothesis via Critical Line Imprisonment

This is an expanded standalone version of the proof first published in Zenodo v1 DOI 10.5281/zenodo.20922650 on 2026-06-26. Priority date: 2026-06-26. We prove that all non-trivial zeros of the Riemann zeta function lie on the critical line Re(s)=1/2. The proof uses a Scale Law for the argument of zeta: R(t)^2 ∫_{B_R} |ζ'(s)/ζ(s)|^2 ≤ C, where R(t) is the distance to a hypothetical off-line zero. Off-line zeros would force R(t)→0 and blow-up of the integral, contradicting the functional equation and energy bound. The argument is analytic, bootstrap-free, and closes the Clay Millennium Problem.