Bell’s theorem eliminates the class of local hidden-variable models under the joint assumptions of locality and realism. The Law of Declared Authority establishes that legitimate action in decision systems cannot be derived from internal system state alone; an external authority declaration is required. This paper presents a structural correspondence between these two non-closure results. It identifies a shared formal structure in which meaningful properties are not closed over internal system state and instead depend on external contextual parameters. The claim is strictly structural and does not assert physical or ontological equivalence across domains.