Kill Switches

Seven kill switches engage in AP06. Each is testable. Each has a specified recovery position — if the kill switch fires, the paper reverts to a named earlier position rather than collapsing entirely. Identifiers follow the Master Kill Switch Registry: KS-L.1 through KS-L.7.

KS-L.1 — Perfect absorber

Claim. In the analysed channels of sections 1–2, the leakage ratio η is strictly positive whenever c and the relevant coupling constant are finite. Theorem 3.1.

Test. Demonstration of a physical absorber achieving η = 0 with finite c and finite coupling constant. Failure: Theorem 3.1 falls; Result C3 falls; Identification 6.1 loses its physical grounding via the dependent KS-L.3.

Status. LIVE — EMPIRICAL.

Recovery. If KS-L.1 fires, the Leakage Theorem fails in the analysed channels and the entire ε ≡ η reading collapses. The corpus retains ε as a postulate (the pre-AP06 status) and loses the physical grounding for ε’s value. Notebook IV’s measured-input claim (ε = α_em ≈ 1/137 as the physical leakage at the electromagnetic boundary) retreats to a framework-level identification without physical mechanism.

KS-L.2 — Sufficiency failure within AP06 class

Claim. The conditions of Theorem 3.1 (finite c, finite coupling, valid leakage-ratio definition) are sufficient for η > 0 in the AP06 class of near-perfect absorbers.

Test. Identification of an AP06-class near-perfect absorber (finite c, finite relevant coupling, valid leakage-ratio definition) that nonetheless achieves η = 0. Failure: Theorem 3.1 (scoped form) fails; the class definition is not sufficient.

Status. LIVE — EMPIRICAL.

Recovery. If KS-L.2 fires, the AP06 class needs additional structural constraints beyond finite c and finite coupling. The Leakage Theorem retreats to a narrower statement scoped to specific channels; Identification 6.1 falls via KS-L.3. The corpus retains the Hawking and retinal cases as standalone results without the unifying structural-class claim.

KS-L.3 — Dependent on KS-L.1 / KS-L.2

Claim. Identification 6.1 (ε ≡ η) depends on Theorem 3.1. If Theorem 3.1 fails, the identification falls automatically.

Test. Trigger KS-L.1 or KS-L.2. KS-L.3 fires by dependency.

Status. LIVE — DEPENDENT.

Recovery. If KS-L.3 fires, the corpus retreats to ε as a postulate (pre-AP06 status). Sections 1–5 remain unaffected as established physics; section 6’s Cosmological Corollary retreats to a structural acknowledgement without the leakage grounding; section 7’s identification falls; section 8’s conjectures retreat to their AP03 / AP08 antecedents.

KS-L.4 — Landauer violation

Claim. Information erasure costs at minimum k_B T ln 2 per bit. Section 4. Without this floor, the three-channels-one-form claim in section 4.3 (C4) fails.

Test. Demonstration of information erasure at zero energy cost. Failure: Section 4 falls. Section 3 is unaffected.

Status. LIVE — EMPIRICAL.

Recovery. If KS-L.4 fires, the synthesis of section 4 (three channels, one thermodynamic form) collapses. Section 3 (the Leakage Theorem) and section 7 (the Epsilon Identification) are unaffected; AP06 retreats to a structural-isomorphism claim about three channels without the Landauer unification.

KS-L.5 — No shared structural parameterisation

Claim. Non-load-bearing. A dimensionless parameterisation can be constructed that places gravitational greybody leakage and electromagnetic boundary leakage within a shared near-perfect-absorber family at the level of structural variables. Section 3.2.

Test. Demonstration that no such parameterisation can be constructed at the level of structural variables. Failure: section 3.2 heuristic falls; the cross-domain framing of section 8 weakens.

Status. LIVE — HARD. Non-load-bearing.

Recovery. If KS-L.5 fires, the cross-domain structural-family heuristic is lost. Section 3.1 (the structural isomorphism between the Hawking and retinal cases) and section 3.3 (the theorem itself in the two analysed channels) are unaffected. The paper retreats to a narrower claim scoped to the two analysed channels.

KS-L.6 — G independent of c

Claim. G and c are not independent. G depends on c through ε (section 8.1). Structurally constrained by AP20’s forcing proof (Axiom B → one parameter).

Test. Framework or observation demonstrating that G can change without any corresponding change in c or the leakage structure. Failure: Section 8.1 falls; the proposed physical mechanism for AP03’s conjugacy weakens.

Status. LIVE — HARD. Structurally constrained by AP20.

Recovery. If KS-L.6 fires, section 8.1’s mechanism falls; AP20’s forcing proof still constrains G to depend on ε, but the specific leakage-mediated dependence is wrong. AP28’s channel-counting derivation of G (independent of the leakage mechanism) remains as an alternative route. The mechanism question reopens. Sections 1–7 are unaffected.

KS-L.7 — Poisson derivation

Claim. When the Poisson derivation is completed (from the record algebra), the resulting G coefficient depends on c through the leakage ε. Section 8.1.

Test. The Poisson derivation, when completed, produces a G coefficient that does not depend on c through the leakage. Failure: the specific mechanism is wrong; conjugacy may hold via different means.

Status. LIVE — HARD.

Recovery. If KS-L.7 fires, the specific leakage-mediated form of G = κ/(εΛ²) is wrong; the conjugacy of c and G may hold via a different mechanism. Partial reduction: AP43 section 7 derives the Newtonian-limit Poisson equation on configuration space, providing one route that does not depend on the leakage mechanism. AP28 derives G via channel-counting (independent of leakage). The corpus retains G ∼ (something) × ℏc/m_e² form (AP28) without the specific leakage factor.

What does not kill this paper

The numerical coincidence of leakage ratios across domains is not a claim. If the eye’s leakage ratio is unrelated to the CMB anisotropy ratio, nothing breaks. The structural isomorphism does not depend on numerical equality.

Why these seven and not more

The seven kill switches cover the load-bearing claims of the paper and the non-load-bearing conjectures. Each closure would force a different kind of retreat. KS-L.1 and KS-L.2 close the Leakage Theorem in the load-bearing direction; KS-L.3 propagates the consequence to the identification; KS-L.4 closes the Landauer synthesis; KS-L.5 closes the cross-domain structural-family heuristic; KS-L.6 and KS-L.7 close the non-load-bearing conjectures of section 8. Smaller claims throughout the paper — specific numerical estimates, illustrative parallels, the structural reading of three scales — are illustrative rather than load-bearing. If any single illustration turned out to be poorly chosen, the paper would still stand.