Curvature Gradient Bounds and the Riemann Hypothesis

This paper presents a geometric exclusion framework for the Riemann Hypothesis based on curvature gradient analysis of truncated Dirichlet series. Rather than locating zeros directly, the method investigates the norm coherence of ζ-like approximations and shows that off-critical alignment leads to increasing analytic instability. Empirical results reveal an exponential contraction of the stability zone toward the critical line Re(s) = ½ as truncation depth increases. This suggests a curvature-based exclusion principle: off-line zeros are asymptotically unstable under analytic pressure. While not a formal proof, the framework offers a predictive and falsifiable constraint on zero distribution, grounded in numerical behavior and analytic structure. The work is positioned at the intersection of mathematical physics, dynamical systems, and quasi-empirical number theory.