Kill Switches

Kill switch numbers are globally unique across the body of work. Seven switches engage on this paper; all are live.

KS-30.1 — Additivity formalisation

Claim. Independent structural constraints acting on independent degrees of freedom contribute additively to total geometric resistance, giving the static sum 1764 + 63 + 9 = 1836.

Test. Show that the axioms require a non-additive combination rule for the three resistance layers, or that the layers do not span independent subspaces.

Status. LIVE — STRUCTURAL.

Recovery. The integer 1836 and the additive decomposition fail; the static count must be rebuilt from the correct combination rule. The Cartesian-product structure is argued from axiom independence (AP20), not yet exhibited as a theorem — the standing debt of this paper.

KS-30.2 — Leakage isotropy

Claim. The dynamic coupling leaks isotropically into the 3D substrate, normalised by the solid angle, giving the factor 1/(84π) exactly.

Test. Show the leakage is anisotropic — preferential radiation along specific channels or faces.

Status. LIVE — EMPIRICAL.

Recovery. The 1/(84π) correction changes; the O(α) term is modified by the anisotropy. The residual at O(α²) is consistent with a small anisotropic contribution but this has not been derived.

KS-30.3 — Higher-order terms

Claim. The perturbative series converges, each successive order smaller by roughly α; the residual is ε operating recursively.

Test. Compute the explicit O(α²), O(α³) forms and show they misbehave — do not shrink, or do not close.

Status. LIVE — STRUCTURAL.

Recovery. The convergence claim is limited to the orders explicitly computed; a closed form for all orders is not yet derived.

KS-30.4 — Alternative formula

Claim. The hierarchical decomposition of 1836 from {21, 3, 4} is the unique structural construction.

Test. Exhibit a different formula in the 420 Code numbers that matches m_p/m_e to equal precision with a different structural interpretation.

Status. LIVE — STRUCTURAL. Registered against AP30 via Ø Predictions (Part I); operational test carried there per the Master Kill Switch Registry.

Recovery. The derivation is underdetermined; the structural reading becomes one of several candidates.

KS-NPP.1 — Two-component decomposition (neutron–proton mass)

Claim. The neutron–proton mass difference decomposes as (m_n − m_p)/m_e = 3(1 − 1/(2π)) + α(1 + 1/(2π)) = 2.53099, matching the measured value to 2 ppm.

Test. Show the two-component decomposition is not forced by the structure.

Status. LIVE — STRUCTURAL. Registered against AP30 via Ø Predictions (Part III) per the Master Kill Switch Registry.

Recovery. The neutron–proton form fails; the mass-difference must be rebuilt.

KS-NPP.2 — Sign of the difference

Claim. The structure forces the neutron heavier than the proton (the sign of the mass difference).

Test. Show the sign is not determined by the geometry.

Status. LIVE — STRUCTURAL. Registered against AP30 via Ø Predictions (Part III) per the Master Kill Switch Registry.

Recovery. The structural account of the sign fails.

KS-NPP.3 — Lattice QCD consistency

Claim. The derived neutron–proton difference (2.53099 m_e, 2 ppm) is consistent with lattice QCD.

Test. A lattice-QCD result inconsistent with the derived value.

Status. LIVE — STRUCTURAL. Registered against AP30 via Ø Predictions (Part III) per the Master Kill Switch Registry.

Recovery. The consistency claim fails; the derivation conflicts with first-principles QCD.