Notation

η — the baryon-to-photon ratio. Observed value: η ≈ 6 × 10⁻¹⁰ (Planck 2018: 6.1 × 10⁻¹⁰).

E(ε) — the dimensionless energy of the break. Defined as E(ε) = μ(ε) / μ(1:1), where μ is the additive measure on the record monoid (AP18 Lemma 1, AP21 Energy–Measure Bridge).

E(ε) is a pure number in (0, 1), determined by the self-consistency conditions (AP24).

1:1 — the symmetric component of the axiom. In the energy partition, the component whose matter and antimatter contributions cancel perfectly upon annihilation.

1×ε — the break. The asymmetric component. The surplus that has no mirror image and therefore cannot annihilate.

ε_leak — the leakage constant (AP06). The non-zero probability that energy leaks past a perfect absorber. Identified with the break: ε = ε_leak.

σ — the orientation-reversal operator on the manifold (AP22). The break ε has no σ-image: σ(ε) is undefined.

g* — the effective number of relativistic degrees of freedom at a given energy scale. Relevant to the precise mapping between the energy ratio E(ε) and the observed number ratio η.