Kill Switches

KS-L.1 — was KS-Q.8 — CLOSED

Status: CLOSED conditional on KS-L.4.

ℏ is derived as the action-scale of the minimum record (1.3).

The forcing argument shows: Stone’s theorem gives a unique scale factor; the axioms produce a unique action scale (B × R); no dimensionless parameter modifies the relation (KS-L.4 isolates the residual); the minimum record IS the minimum non-trivial evolution; therefore α = ℏ.

KS-Q.8 (from AP09) is CLOSED by this derivation.

Residual vulnerability: KS-L.4 (dimensionless parameter from the axioms). Strictly smaller exposure than KS-Q.8, which questioned the entire identification.

KS-L.2 — Commutation relation at the Planck scale

Status: LIVE.

The commutation relation [x̂, p̂] = iℏ is derived from Stone’s theorem applied to spatial translations (2).

The derivation operates locally — in a coordinate patch on the AS — and depends on the manifold admitting a well-defined local translation group.

Test: if the manifold has structure that modifies the translation generator at the Planck scale (non-trivial topology, curvature effects, or discreteness below the resolution of the AS), then the commutation relation might receive corrections.

Note: the axioms do not predict such corrections. The AS is smooth by structure (AP20 5.3 — constancy of collapse rate, immeasurability of the now). If the AS is exactly smooth, no Planck-scale corrections arise and the commutation relation holds exactly.

The question is whether "exactly smooth" is the architecture’s final word or whether the minimum record (Axiom B) introduces a natural granularity at the ℏ scale.

Current experimental evidence supports [x̂, p̂] = iℏ exactly to all tested precisions.

KS-L.3 — Energy-time via unitarity

Status: LIVE.

The energy-time uncertainty relation (3) depends on the Mandelstam-Tamm derivation, which requires the Heisenberg equation of motion d⟨A⟩/dt = (i/ℏ)⟨[Ĥ, A]⟩.

The equation follows from unitary evolution (AP09 7.3).

If the axioms produce corrections to unitary evolution — at extreme energies or near the loop point — the energy-time relation inherits those corrections.

Test: break unitarity.

KS-L.4 — Dimensionless parameter in ℏ forcing

Status: LIVE — strictly smaller exposure than the closed KS-Q.8.

Step 3 of the 1.3 forcing argument claims no dimensionless parameter is available from the axioms to modify the relation α = (minimum action).

Test: if a dimensionless constant derivable from {S, B, R, C} is shown to enter the relation between the Stone scale factor and the minimum record — a topological invariant of the derived manifold, or a representation-theoretic factor from the Hilbert space construction — then the forcing argument weakens and α = k × (minimum action) for some k ≠ 1.

Step 4 would then need to rule out k independently.

Here is the weapon. The argument hands it to you.

Load-bearing status by section

1: derivation. ℏ forced by Stone’s theorem + Axiom B + forcing argument 1.3. KS-Q.8 closed conditional on KS-L.4.

2: core derivation. Translation group → commutation relation → Robertson-Schrödinger. KS-L.2.

3: energy-time derivation. R + Stone → Mandelstam-Tamm. KS-L.3.

4: structural reading. Non-load-bearing.

5: structural interpretation. Non-load-bearing.