Relational Structuralism: Foundational Results and Unified Mechanisms

This paper develops a mechanism‑first account of relational structure. It identifies the minimal operators required for coherence, shows how they generate stable patterns across physical, cognitive, and social domains, and clarifies why many familiar philosophical divides persist when these operators are left implicit. The framework is presented in a discipline‑neutral idiom: isolating the structural problem, introducing the operator set, demonstrating its invariances, and tracing the consequences for explanation, agency, and alignment. The result is a unified account of how coherent systems form, maintain themselves, and produce meaning‑bearing patterns without appealing to field‑specific assumptions.