Kill Switches

Global numbering note: Kill switch numbers are globally unique across the body of work.

KS-55 — Contextuality (EMPIRICAL).

Proposition 2 derives Gleason non-contextuality from Axiom R + Axiom B. The structural ground of Proposition 2’s exhaustiveness — that the two-input specification is complete — is the completeness of {S, B, R, C}, fenced at KS-P.1.

If a reproducible, loophole-free experiment demonstrates contextual outcome probabilities — that is, if the probability of outcome a when measuring A depends on which compatible observable is measured alongside A, in a way not accounted for by standard QM — then Proposition 2 fails and the Born rule derivation is threatened.

Note: this concerns Gleason non-contextuality of outcome probabilities, not Kochen-Specker contextuality of value assignments. The axioms deny pre-existing values (Axiom R), so KS contextuality is expected and is not a threat.

Status: LIVE — EMPIRICAL. Structurally secure.

KS-56 — Non-Born statistics (EMPIRICAL).

Theorem 1 derives the Born rule as the unique probability measure. If a physical system were found whose measurement statistics violate the Born rule, Theorem 1 would fail.

This would require either: (a) a violation of Gleason’s theorem (impossible — mathematical theorem), (b) a genuinely fundamental (not merely effective) physical Hilbert space of dimension < 3 with outcome probabilities not inherited from an embedding in the full physical Hilbert space (excluded by AP10: physical wavefunctions live in L²(R³), which is infinite-dimensional), or (c) a physical situation where actualisation is contextual (tested by KS-55).

Status: LIVE — EMPIRICAL. All experiments confirm Born rule statistics to high precision. Structurally secure.

KS-57 — Mixed-state actualisation (EMPIRICAL).

Proposition 1 derives that record targets are pure states (extremal points).

If a physical process were demonstrated in which a mixed state (a non-extremal state, not a pure state embedded in a larger pure state) is actualised directly — that is, if the universe writes a record that is inherently ambiguous about which pure state obtains — Proposition 1 and Axiom R’s definiteness requirement would fail.

Status: LIVE — EMPIRICAL. No known physical process actualises mixed states directly. All observed measurements produce definite outcomes consistent with pure-state collapse. Structurally secure.

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the420code.org

Series The 420 Code

Catalogue Ø Artist’s Proofs

Proof Number AP25

Title The Measure

Subtitle Born Rule

Medium Physics

Artist G

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