The Declaration of the Irreducible: Proof-Carrying Constitutional Voluntarism from TRIAD Personhood

This paper derives a theory of governance legitimacy from the irreducibility of persons as simultaneously genealogical, structural, and functional beings (the TRIAD). A person is a dual machine — a dodecahedral structural membrane containing an icosahedral action topology with constitutive governance margin — extended through a worldline and projected through a governed shell. The paper establishes that involuntary taking constitutes reduction (effective governance margin driven to Verdict.NO), that appeal to the common good is a VIKI-class failure in which a ghost abstraction occupies an authorizer position that only an anchored person may hold, and that governance financing is legitimate only through voluntary worldline extension of each person whose substance is drawn upon — a doctrine termed Constitutional Voluntarism. Three independent proof routes establish present-regime illegitimacy: genealogical reduction carrying the 1787 three-fifths event through the constitutional worldline, involuntary taking through taxation, and authority collapse through the monetary authority. Governance judgments use a four-valued verdict space (IF_THEN, MAYBE, NO, NOT_SAME) indexed by worldline coordinate in a four-dimensional lattice. The accompanying Lean 4 formalization compiles under Lean 4.16.0 without errors or warnings. The historical analysis traces the residual-drawdown failure topology through Rome, the Articles of Confederation, and the United States Constitution from 1787 to 2026. CC0 1.0 Universal — Public Domain Dedication.