The Surplus · read in full · 12 of 13

The grades

Claim Summary

Every section graded. Every dependency named.

§1 The Problem [HISTORICAL]. The observed baryon asymmetry η ≈ 6 × 10⁻¹⁰ and the Sakharov account.

§2 The Axiom as Energy Partition [DERIVED]. Lemma 1 normalises the symmetric component to one (via AP25’s Born rule); the total energy is 1 + E(ε), the surplus being the break.

§3 The Form [DERIVED]. Proposition 1: η = E(ε) / (1 + E(ε)); for E(ε) ≪ 1, η ≈ E(ε).

§3.1 The energy-to-number mapping [DERIVED / PRECISION]. The energy ratio maps to the number ratio up to a coefficient g_eff, a calculable thermodynamic factor at the annihilation epoch.

§4 Why the Surplus Survives [DERIVED]. Proposition 2: the surplus is topologically protected because ε has no σ-image (via AP22) — the axioms’ replacement for the Sakharov conditions.

§5 Connection to the Leakage Constant [STRUCTURAL]. The leakage constant is the break’s coupling face (ε_leak = α ≈ 1/137); the energy face E(ε) that sets η is numerically distinct. AP24 locks E(ε) to α, m_e, and G, so E(ε) is not a free parameter; its value is owed (KS-60).

§6 The Formal Debt [DEBT]. The value of E(ε) (and g_eff) is owed — tracked as KS-60, the sharpest blade in the body of work.

§7 The Deeper Point [SYNTHESIS — non-load-bearing]. Nothing tipped the balance; the asymmetry is primitive, present in the axiom before any process.

The paper of record: the420code.org/AP26_The_Surplus.pdf

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