General Theory of Layered Authority

General Theory of Layered Authority Mathematical Spine for the Six-Layer Fixed Authority Cosmology Formalizes the authority stack connecting finite obstruction, finite descent authority, representation transport, completion comparison, continuum shadow, and residual closure. The paper’s central claim is that higher layers may organize, transport, compare, complete, or expose residue, but they do not create authority. Operational authority appears only when a proposal is represented, routed, descended into a finite certified packet, verified, and terminalized into a declared authority-bearing status. The governing normal form is: Π♯ = τ♯ ∘ₖ FOC♯ ∘ₖ D♯ ∘ₖ ρ♯ ∘ₖ R♯ Aauthority is defined by the existence of an authority-bearing terminal output. The paper introduces the six conserved roles of the stack: obstruction, authority, representation transport, completion comparison, continuum shadow, and residual closure. It uses higher category theory to organize the doctrine tower, finite homological obstruction calculus to supply the verifier, and dependent-type/HoTT-style language to express authority, refusal, and certificate inhabitation. The result is a compact mathematical spine for the broader theory: difference is primitive, sameness is certified zero-difference, and authority must descend.