Causal Prime Theory: A Stability-Based Interpretation of the Riemann Hypothesis

This paper reinterprets the Riemann Hypothesis through the lens of causal mathematics, proposing that the distribution of prime numbers reflects an underlying framework of recursive stability and informational compression. We argue that the nontrivial zeros of the Riemann zeta function mark the boundaries of causal consistency, where entropy and structure balance into universal law. Drawing on thermodynamics, information theory, and the author’s broader causal systems framework, the paper explores how prime numbers function as causal anchors in a universe governed by recursive emergence. Rather than treating the hypothesis as a pure number-theoretical conjecture, we show it to be a structural necessity of stable intelligent systems within a lawful cosmos. If the hypothesis holds, it affirms not just a mathematical truth—but the consistency of the universe’s recursive architecture.