The Principle of Non-Closure: An Axiomatic Core of In-Between Ontology

This paper presents the minimal axiomatic core of In-Between Ontology, a structural theory of existence grounded in the principle of non-closure. The central claim is that existence necessarily entails the preservation of difference, understood as the structural possibility of being otherwise without ceasing to be. From this follows the impossibility of complete closure and the relational nature of fixation. The framework allows the derivation of time, freedom, dignity, and social ethics from a single ontological condition.