Zhu-Liang Riemann Hypothesis Necessity Inference ——Based on the Qiankun Quantum Recurron Framework: Entropy Minimization in Causal Networks

Within the meta-logical framework established in the Qiankun Quantum Recurron, this paper presents a complete necessity inference for the Riemann hypothesis. The Riemann hypothesis asserts that all non-trivial zeros of the Riemann zeta function \ ( (s) \) lie on the line \ ( (s) =12\). We first identify three core reccurons directly related to the Riemann hypothesis: the prime distribution recurron \ (P\), the \ (\) -function recurron \ (Z\), and the modular form recurron \ (M\). We rigorously define the state sets and morphism sets for each recurron, and prove that they are coupled into a strongly connected causal network through deterministic relations such as the Euler product, explicit formulas, and the Langlands program. We then construct a network entropy functional \ (Hₑ₇\) that vanishes if and only if all zeros lie on the critical line. By the Truth Metric Theorem, there exists a unique global entropy-minimizing state, which necessarily forces the Riemann hypothesis to hold. This paper also reveals the fundamental limitations of reductionist methods in addressing such global problems.