Theorem 4.3 (Gödel's Loophole Formalized):

A constitution C with self-modifying amendment clause A has winding number w ≥ 3 if A ∈ domain(A). This creates irreducible logical contradiction: the system can legally authorize its own negation.

Proof: Let A be the amendment process. If A can modify A, then the mapping A: C → C' includes A → A' where A' may have different threshold requirements. This creates a downward spiral: A₁ → A₂ (easier) → A₃ (trivial) → A₄ (autocratic). The curve winds multiple times through semantic space, yielding w ≥ 3. The system permits states S and ¬S simultaneously under procedural legality. ∎