Kill Switches

Ten kill switches in the quantum register. One (KS-Q.6) is closed; KS-Q.1 is conditionally closed; KS-Q.8 is closed by AP12’s forcing argument.

Each names the load-bearing claim and the test that would break it.

KS-Q.1 — Born rule derivation

Status: CONDITIONALLY CLOSED (conditional on KS-Q.7).

Target: the derivation of P = |ψ|² from Conditions 1–3 and Gleason’s theorem.

Test: If the Hilbert space bridge construction (KS-Q.7) fails, the uniqueness argument for |ψ|² as the probability measure must be re-examined.

Weapon: break KS-Q.7.

KS-Q.2 — Born rule empirical

Status: LIVE — EMPIRICAL.

Target: the empirical adequacy of |ψ|² as the probability measure.

Test: Any experimental violation of |ψ|² as the probability measure for quantum systems.

Current status: not violated to all tested precisions.

KS-Q.3 — No-signalling / Bell

Status: LIVE — EMPIRICAL.

Target: the cos²(θ/2) Bell correlation account as compatibility, not derivation.

Test: Demonstrate a full derivation of cos²(θ/2) from {S, B, R, C} alone, without the Hilbert space bridge — or demonstrate that the compatibility argument fails empirically.

KS-Q.4 — Complex uniqueness

Status: LIVE — HARD.

Target: the derivation of complex amplitudes from the Lorentzian signature.

Test: Demonstrate an alternative number system (real, quaternionic, or other) equally consistent with one time direction and a finite propagation rate.

Current support: the Renou et al. (2021) test, with experimental confirmation of the complex prediction (Li et al., 2022; Chen et al., 2022).

KS-Q.5 — Loop / defragmentation

Status: LIVE — HARD.

Target: the forgetful functor argument for R-preservation at the loop point.

Test: Show that the defragmentation step violates Axiom R’s structural intent, not just its formal statement.

KS-Q.6 — σ ↔ conjugation

Status: CLOSED.

ℂ has exactly two field automorphisms fixing ℝ pointwise — the identity and conjugation (any such automorphism sends i to ±i). σ is non-trivial — it exchanges the two sectors — so σ ≠ identity. Therefore σ = conjugation. Mathematical fact.

KS-Q.7 — Linearity bridge

Status: LIVE — HARD.

Target: the construction of the pre-state space as a complex vector space.

Test: Demonstrate a construction from R + ℂ + EH that does not produce a vector space, equally motivated from the same axiom-derived ingredients.

KS-Q.8 — ℏ identification

Status: LIVE — HARD in this paper; CLOSED conditional on KS-L.4 by AP12’s forcing argument.

Target: the Step 5 identification of ℏ as the action-scale of the minimum record.

Addressed in: AP12’s forcing argument, which forces the identification via a five-step argument.

KS-Q.9 — Ergodicity

Status: LIVE — HARD.

Target: the claim that everything possible actualises across infinite loops.

Test: Demonstrate that the structural ergodicity across cycles is inconsistent with the loop construction.

KS-Q.10 — Empty set ontology

Status: LIVE — HARD.

Target: the identification of Axiom S with the splitting of the empty set.

Test: Demonstrate that the empty set ontology is structurally incompatible with the pre-state algebra of {S, B}.