The switches
Five kill switches engage on this paper. KS-46 (black-hole conjugation) is ADDRESSED, split into KS-46A (boundary identification, DERIVED), KS-46B (AQFT bridge, ADDRESSED — bifurcation tension discharged via Sewell 1982, broader bridge SMALL gaps remaining), and KS-46C (operator identification, ADDRESSED). KS-47 (global baryon number) and KS-53 (Hawking evaporation products) are LIVE — EMPIRICAL: both are quantitative predictions with teeth.
Kill switch numbers are globally unique across the 420 Code. Five switches engage on this paper. KS-46 is split into three sub-switches (KS-46A/B/C); KS-47 and KS-53 are empirical.
Claim. The σ-boundary is the event horizon, via AP17’s 1-pole / 0-pole identification of the two sectors.
Test. Show AP17’s sector identification is wrong, or that the σ-boundary does not coincide with the event horizon.
Status. DERIVED (AP17-dependent).
Recovery. Part A of Theorem 1 fails; the theorem loses its geometric anchor and the segregation mechanism has no boundary.
Claim. The derived QFT satisfies the conditions for modular theory on the two-sector horizon geometry (Bisognano–Wichmann / Sewell): energy bounded below, microcausality, a cyclic and separating vacuum.
Test. Show the derived QFT fails a required condition on the two-sector manifold, or that the bifurcation tension cannot be discharged.
Status. ADDRESSED. The bifurcation tension (Gap 5) is discharged via Sewell (1982); the Hadamard condition is imported as standard AQFT apparatus, at the level of Gleason’s theorem. The broader bridge conditions — the rigorous AQFT (Haag–Kastler) restatement (Gap 1) and the uniqueness-of-vacuum step W3 — remain SMALL gaps. A sub-tension discharge is not a full closure: KS-46B is ADDRESSED, not CLOSED.
Recovery. The modular-theory bridge fails; σ̂ = J cannot be established and Part B reverts to conjecture.
Claim. σ̂ = J: the σ-involution equals the Tomita–Takesaki modular conjugation, by uniqueness (σ̂ is the anti-linear involution mapping the exterior algebra to its commutant and preserving the vacuum).
Test. Show σ̂ does not satisfy the defining properties of J, or that the uniqueness argument fails.
Status. ADDRESSED. Formal anti-linearity proof exhibited; uniqueness argument complete.
Recovery. The operator identification reverts to conjecture; Theorem 1 weakens to a structural motivation.
Claim. B_total = B(ε) ≈ 0 for the whole universe: every visible baryon is matched by an antibaryon behind a horizon (Proposition 2).
Test. Show the total antibaryonic content inside all event horizons cannot, even in principle, account for the visible baryon excess — the ~10-order-of-magnitude mass-accounting tension.
Status. LIVE — EMPIRICAL.
Recovery. Proposition 2 and the entire ledger mechanism fail. This is a quantitative prediction with teeth, pending the value calculation owed under KS-60.
Claim. The black-hole interior is the 𝒫-sector; evaporation should reflect the conjugation — either net antibaryon number in the radiation, or a remnant.
Test. Confirm Hawking radiation is purely thermal with B = 0 and that no remnant persists.
Status. LIVE — EMPIRICAL.
Recovery. The conjugation’s evaporation prediction fails; the interior-as-𝒫-sector reading is contradicted.
The paper of record: the420code.org/AP22_The_Ledger.pdf
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