Interface-Led Architecture and the Riemann Hypothesis: A System-Governance Heuristic for Prime Distribution and Dynamic Equilibrium

This technical note presents a conceptual and heuristic system-governance interpretation of the Riemann Hypothesis through Interface-Led Architecture (ILA). It does not claim to prove the Riemann Hypothesis. The paper maps primes to oscillatory Providers, zeta zeros to cancellation contracts, and the critical line to a governance boundary between divergent and over-damped prime-mode phases. It introduces a finite prime-mode energy model and uses the vocabulary of Provider, Observer, Operator, Contract, and Governance Boundary to organize the relationship between prime-side oscillations and analytic cancellation constraints. This reviewed edition strengthens the non-proof boundary by adding heuristic notes to major sections, explicit circularity warnings around RH-equivalent error estimates, a more concrete bridge to Riemann's explicit formula for the Chebyshev function, and an appendix of potentially misleading expressions and safer replacements. It also notes that implementation references, GitHub links, commit hashes, and function-to-interface mapping tables are deferred to a future version. The English manuscript is the canonical version. The Japanese manuscript is included as a companion translation.