Scale-Relative Closure, Directional Access, and Coherence Signatures: A Constraint-Based Framework for Foundational Reasoning

This paper develops a scale-relative treatment of operational closure and exterior inaccessibility, formalizing how directional access across scales constrains admissible forms of explanation, causation, and representation. Closure is treated as a grammatical condition relative to a frame of access rather than an ontological claim. Under this discipline, ontological closure and epistemic inaccessibility of an exterior collapse into a single operational notion. What appears as an “exterior” is consistently reinterpreted as scale-relative inaccessibility. The framework shows that higher-scale structures may constrain lower-scale dynamics without reciprocal representability, and that such constraints can manifest internally only as non-local, scale-insensitive coherence signatures lacking internal causal localization. The analysis is continuous with the grammatical framework of Closed Observational Relationalism (COR) and introduces no new ontological primitives.