Claim Summary

Derived (unconditional): ε has no σ-image (Proposition 1, from Axioms S + B). Net asymmetry must exist because the ledger has an uncancellable entry. Local antimatter from pair production (§3). Sakharov bypass (topological, not dynamical).

Derived (from Theorem 1): Event horizon = σ-boundary; σ̂ = CPT (§4, Theorem 1, five gaps tagged in §4.4; Gap 5 CLOSED via Sewell 1982; Gaps 1–4 SMALL or smaller).

Two-sector topology (Proposition 0, from Axioms R + S). Matter outward / antimatter inward (§5.1). Global quantum number balance Q_total = Q(ε) (Proposition 2).

Structural: Event horizon = σ-boundary motivated by Axiom C and derived via AQFT (Theorem 1, gaps tagged).

Conjectural/Untested: Numerical baryon asymmetry ratio (KS-60, owned by AP26). Mass balance of all horizon interiors vs visible baryonic mass (§6 note, KS-47). Hawking evaporation products carry net antibaryon number or remnant persists (KS-53).

Conditional on: Nothing. EH and QRA proved in AP20. Axioms unconditional. Theorem 1 has five tagged gaps (§4.4); Gap 5 formally closed via Sewell (1982). Gaps 1–4 all SMALL or smaller.

Standard AQFT results imported as apparatus (Tomita–Takesaki, Bisognano–Wichmann, Sewell, Gleason, Hadamard condition).

Depends on: Axiom S (Symmetry — σ-involution), Axiom B (Break — ε has no σ-image), Axiom R (Record — irreversibility; kills white holes), Axiom C (Constraint; forces fold; microcausality), AP05 (Lorentzian spacetime; Poincaré covariance), AP09 (complex Hilbert space), AP08 (Einstein field equations; Schwarzschild solution), AP17 (the Eye; 1-pole/0-pole), AP20 (AS = manifold), AP21 (Steiner tree; Energy–Measure Bridge).

Standard AQFT results imported: Tomita–Takesaki theory, Bisognano–Wichmann theorem, Sewell extension (1982), Kay–Wald (1991).

Formal results: Theorem 1 (Horizon Conjugation, DERIVED, five gaps tagged). Proposition 0 (Two-sector topology, DERIVED). Proposition 1 (Uncancellable entry, DERIVED, unconditional). Proposition 2 (Global quantum number balance, DERIVED).

Kill switches: KS-46 (black hole conjugation, ADDRESSED, split into KS-46A/B/C). KS-47 (global baryon number, EMPIRICAL). KS-53 (Hawking evaporation products, EMPIRICAL).

Debt owed: the numerical value of the baryon asymmetry ratio η ≈ 6 × 10⁻¹⁰ from ε — tracked across the body of work as KS-60, owned by AP26 (The Surplus).