Connection to the Leakage Constant

AP06 (The Leakage Constant) proves that the break has a physical manifestation: the leakage probability ε_leak > 0. This is the non-zero probability that in any interaction, some energy leaks past what would otherwise be a perfect absorber.

The leakage is a consequence of the finiteness of c (Axiom C) and the irreversibility of records (Axiom R).

ε is one break with several faces (AP24). Its coupling face is the leakage constant ε_leak = α ≈ 1/137 (AP06) — how strongly the break couples back to the field it left. Its energy face is E(ε), the dimensionless energy of the break — the surplus it leaves in the energy budget. These are distinct numbers belonging to one object. The baryon asymmetry is set by the energy face E(ε), not by the coupling face.

Corollary (Leakage Interpretation). The baryon asymmetry ratio η is the energy face of the break as a fraction of the total energy budget: η = E(ε) / (1 + E(ε)). It is not the coupling face: ε_leak = α ≈ 1/137 would give η ≈ 7 × 10⁻³, some seven orders of magnitude above the observed 6 × 10⁻¹⁰. The energy face E(ε) is therefore numerically distinct from the coupling face; why the two faces of one break differ by orders of magnitude is part of what AP24’s self-consistency must explain (KS-60).

The physical picture: the annihilation of the symmetric component is not perfectly efficient. A fraction E(ε) of the total energy survives as the break’s surplus. This surviving energy is the baryonic matter of the observable universe.

The cosmic microwave background is the radiation from the symmetric annihilation. The baryon asymmetry is the ratio of surplus to total.

Connection to AP24. AP24 (The Residual) establishes that all fundamental constants are projections of ε. The fine-structure constant α_em, the electron mass m_e, the gravitational constant G, and ε_leak are all faces of one object.

This means E(ε) is not a free parameter — it is determined by the self-consistency conditions that fix the values of all the constants simultaneously.

The value of the baryon asymmetry is locked to the values of α_em, m_e, and G by the self-consistency. If you know any one constant, in principle you know them all.

Schematically, AP24’s self-consistency has the structure of a fixed-point condition: ε = f(ε), where f encodes how the break’s energy determines the coupling constants, which in turn determine the energy scales at which the break manifests.

The function f is implicit in the derivation chain: ε → Hilbert space structure (AP09) → gauge group (AP15, AP16, AP19) → coupling constants → running of couplings (RGE) → low-energy value of ε.

The unique fixed point of this chain is the physical value of E(ε). Making this chain explicit and solving for ε* is the content of KS-60.