The Law of Declared Authority: Necessary Closure for Legitimacy in Decision-Permitting Systems

This technical note formalizes the Law of Declared Authority, the governing closure condition of the Three Primitives framework. The law establishes that legitimacy in a decision-permitting system is not an emergent property of computation, but a structural requirement arising from explicit human declaration of purpose, authority, and constraints at the moment permission is granted. The Law of Declared Authority is derived directly from previously published foundational proofs and lemmas within the Three Primitives framework.Version note:This version corrects internal publication dates in the reference list to align with the finalized 2026 Three Primitives publication sequence. No technical claims, definitions, or results have been modified.