Proof Candidate for the Riemann Hypothesis via Information Curvature and Entropy Divergence

This paper presents a proof candidate for the Riemann Hypothesis, built upon a chain of lemmas combining analytic number theory, Fisher information geometry, and entropy divergence. The approach uses reductio ad absurdum: assuming a zero off the critical line leads to diverging structural entropy, non-vanishing zero-pressure, and curvature blow-up, contradicting Hadamard growth bounds. This version (v9) includes: Full ε–δ analysis for both convergence and divergence cases A Fisher curvature–zero pressure equivalence lemma Reproducible figures with code, and exact bounds in Appendices A–B While not peer-reviewed, this version is complete in logic and mathematical structure and is open for external validation and critique.