Harmonic Nodal Chambers, Parabolic Zero-Curve Curvature, and the Transverse Integral Law for Riemann's Xi-Function

Analytical and topological proof package (AMS-LaTeX manuscript, 16-page compiled PDF, 50-digit mpmath and GPU verification suite, and AI-agent skill) establishing the harmonic nodal chamber partition Omega_k of the critical strip for Riemann's Xi-function, the Cauchy-Riemann arc-length monotonicity theorem d|R|/ds = |grad I| = |Xi'| > 0 along imaginary nodal walls Gamma_k, the exact parabolic zero-curve curvature formula kappa(gamma_k) = Xi''(gamma_k)/Xi'(gamma_k), and the transverse integral law |Xi(t - i*d)|^2 = |Xi(t)|^2 + 2*int_0^d u*W_tilde(u,t) du with its pure-square hyperbolic low-pass filter F_int(2*d*y) = tanh(d*y)/(d*y) in (0,1) and Rolle's theorem reversal.