What This Establishes and What Remains Open

What this paper establishes

This paper provides the structural mechanism for baryogenesis without dynamical symmetry violation.

The picture follows from the axioms: the vacuum is under tension (AP17), the tension segregates into 1-poles (propagation, matter) and 0-poles (collapse, antimatter), the event horizon is the boundary between them (Theorem 1), and the splinter holds the door open (Proposition 1).

The baryon asymmetry is the visible side of a globally balanced ledger.

What this paper does not do

This paper does not provide:

• A quantitative derivation of the baryon asymmetry ratio η ≈ 6 × 10⁻¹⁰. This debt is tracked as KS-60 (AP26).
• A resolution of the mass balance tension (the ~10-order-of-magnitude gap between observed BH mass and visible baryonic mass).
• Full closure of the AQFT bridge (KS-46B): the bifurcation tension (Gap 5) is discharged via Sewell (1982), but the rigorous Haag–Kastler restatement (Gap 1) and the vacuum-uniqueness step (W3) remain SMALL gaps, so the switch is ADDRESSED, not closed.

Gaps 1–4 are all SMALL or smaller. Gap 2 (anti-linearity of σ̂) is SMALL, with a formal Tomita operator proof exhibited. The theorem has no SIGNIFICANT or MODERATE gaps remaining.

Items held open without claiming debt status

The five tagged gaps of §4.4 (all SMALL or smaller — Gap 4, rotating black holes, is MINOR — with the bifurcation tension closed). The mass-balance question carried as KS-47, pending the value calculation owed under KS-60.

Where the philosophical-register implementations live

AP22 is formal-register throughout. A catalogue audit of the present Ø Models volumes finds no dedicated philosophical-register companion to the antimatter-segregation mechanism: Ø Predictions covers the five derived numbers but not the ledger, and Ø Resolutions touches the matter–antimatter asymmetry only as one of several open cosmological questions. The expository twin to the horizon ledger is not yet written; this is recorded rather than asserted.

Structural relationships to subsequent work

AP22 opens onto AP26 (The Surplus), which reads the same surplus as η = E(ε) and closes the cross-horizon balance. Together with AP30 (The Resistance) they form Notebook V — the matter sector.

The 420 Code placement

Notebook V — Particles and Matter, Chapter 2.

The closing

The symmetry was never broken. It was folded. What appears as excess matter is the visible half of a balanced ledger; the other column is behind every event horizon. The books balance to within one entry: ε, the splinter with no mirror.