Claim Summary

Section-by-section structural status, with epistemic-status labels.

§1 — One break, one leakage. — The break IS the leakage IS the electron. DERIVED from AP06 §10.4 + Axiom B + The Lock.

§2 — Six faces. — G, c, α_em, m_e, α, β are projections of ε. ESTABLISHED — each face traced to a corpus theorem.

§3 — One object. — The relations between faces are dictionary entries, not laws. SYNTHESIS — the unifying identification.

§4 — Self-consistency. — Overdetermined system; fixed-point architecture ε = f(ε). DERIVED structure; equation defined but not solved (D1).

§5.1 — Unique Residual. — α_em ≈ 1/137.036 is the unique self-consistent value. CONJECTURE.

§5.3 — Irrational. — α_em is necessarily irrational. STRUCTURAL ARGUMENT + standard-math confirmation (transcendental fixed points).

§5.4 — Not derivable from within. — The value cannot be deduced from {S, B, R, C} alone. STRUCTURAL ARGUMENT — the now is the engine of derivation.

§5.6 — Toy model. — Demonstrates fixed-point mechanism with SM input. NON-LOAD-BEARING.

§6 — Consequence. — If the conjecture holds: one measured input, zero free parameters.

§7 — Kill switches. — KS-35, KS-36, KS-37 — multiplicity, wrong value, independent variation.