Open-Relational Ontology: A Minimal Modal Core

This paper proposes a minimal formalization of open-relational ontology. Its central claim is that being is neither an isolated self-contained core nor an exhaustively capturable manifestation. Rather, being appears only in relations while never being exhausted by any particular relational manifestation. This structure is expressed through a minimal modal core in which being entails the persistent availability of differential possibility while remaining identifiable as the same being. The aim is not to construct a complete system, but to isolate the smallest possible axiomatic core capable of expressing three claims simultaneously: relational manifestation, structured difference, and structural non-closure.