Kill Switches

Nine explicit conditions (canonical registry numbering KS-L0.1–KS-L0.9). If any is satisfied, the corresponding component of AP04 fails. The argument does not protect itself. It tells you where to cut.

13.1 — KS-L0.1 — Structural identity disproved

Claim. A diffeomorphism-compatible mapping exists between a black-hole interior and an expanding FRW-type cosmology under some completion of general relativity.

Test. A rigorous proof that no such mapping exists under any completion.

Status. LIVE — HARD. Targets the conjecture (L7).

Recovery. If disproved, the structural identity is dead; the established Kantowski-Sachs/Kruskal–Szekeres mathematics (L8, L9) survives as established physics without the cosmological reading.

13.2 — KS-L0.2 — No singularity resolution

Claim. A non-singular transition hypersurface Σ exists — quantum gravity extends beyond the Planck density rather than terminating.

Test. A complete quantum-gravity theory that yields a terminal singularity with no extension beyond the Planck density.

Status. LIVE — HARD. Targets the conjecture (L7).

Recovery. A terminal singularity removes Σ and collapses the conjecture; the symmetry-break reading of ε would have to be relocated.

13.3 — KS-L0.3 — Information loss

Claim. Black-hole evaporation is unitary; information is scrambled, not destroyed (the entropy resolution of section 8.5).

Test. A demonstration that evaporation is fundamentally non-unitary.

Status. LIVE — EMPIRICAL. Targets section 8.5.

Recovery. Non-unitarity breaks the entropy resolution; Axiom R (records persist) would be in direct tension and require re-examination.

13.4 — KS-L0.4 — Proton decay observed

Claim. The fermion-dependent mechanism is consistent with the observed stability of the proton.

Test. Proton decay observed on timescales relevant to the structural identity (indicating baryon-number violation inconsistent with the mechanism).

Status. LIVE — EMPIRICAL. Targets the fermion-necessity claim (P3, L10).

Recovery. Observed proton decay weakens the fermion-necessity claim without immediately collapsing the structural identity.

13.5 — KS-L0.5 — GSL violated

Claim. The Generalised Second Law holds across the transition (ΔS_gen ≥ 0).

Test. A demonstration of ΔS_gen < 0 in a closed region.

Status. LIVE — EMPIRICAL. Targets section 8.5.

Recovery. A GSL violation falsifies the thermodynamic resolution; the structural identity would need an alternative entropy account.

13.6 — KS-L0.6 — Actualisation without awareness

Claim. Actualisation (record formation) does not occur without relational structure (the awareness identification, L6).

Test. Experimental confirmation of objective collapse (GRW) — states becoming actual without relational structure.

Status. LIVE — EMPIRICAL. Targets L6.

Recovery. Confirmed GRW kills the identification of ε with awareness; the physics of the conjecture is unaffected (the naming changes, the structure does not).

13.7 — KS-L0.7 — Fermions unnecessary

Claim. Fermionic spin–torsion is necessary to the transition mechanism (Popławski).

Test. A bosonic-only universe shown to reproduce the structural identity without fermionic torsion.

Status. LIVE — HARD. Targets L10, P3.

Recovery. If fermions are unnecessary, Popławski’s mechanism is not required and the isotropisation route (D1) must be re-grounded.

13.8 — KS-L0.8 — Anisotropy irreconcilable

Claim. Some mechanism isotropises the Kantowski-Sachs interior to FRW-like isotropy.

Test. A proof that no mechanism can isotropise the Kantowski-Sachs interior to FRW.

Status. LIVE — HARD. The sharpest obstacle (D1).

Recovery. If isotropisation is impossible, the structural identity cannot connect black-hole interiors to observed cosmology; the conjecture falls at its weakest point.

13.9 — KS-L0.9 — CMB mismatch

Claim. The perturbation tensor ε·h reproduces the observed curvature perturbation spectrum P(k) (near-scale-invariant, n_s ≈ 0.965), and inherited Kantowski-Sachs patterns are consistent with the observed CMB anomalies (P1, P6).

Test. If ε·h cannot reproduce P(k) under any reasonable parameterisation of h, the conjecture makes wrong predictions.

Status. LIVE — EMPIRICAL. Targets the conjecture via P1, P6 (D2).

Recovery. A CMB mismatch falsifies the predictive content; the structural identity could survive as an interpretation without the specific spectrum prediction, pending the derivation of Pₘ(k) from ε·h (D2).