Claim Summary

Empty set ontology: STRUCTURAL READING. Pre-state = empty set state. 0 and 1 indistinguishable. Holding limit κ. KS-Q.10.

The break: STRUCTURAL READING. ε is the minimum viable splinter. ε = electron via The Lock. The eye and its two walls. The break is ongoing — every coupling event is the same break repeated.

Superposition: BRIDGE DERIVATION. Linearity from R + ℂ + EH (KS-Q.7). Complex amplitudes from Lorentzian signature (KS-Q.4).

Measurement: STRUCTURAL READING + DERIVATION. Measurement is the now writing a record. Irreversibility from Axiom R. The loop and defragmentation (KS-Q.5).

Entanglement: STRUCTURAL READING + COMPATIBILITY. Entanglement is unbroken pre-state. cos²(θ/2) is compatibility, not derivation (KS-Q.3).

Born rule: CONDITIONAL DERIVATION. P = |ψ|² from Conditions 1–3 + Gleason (dim ≥ 3). σ ↔ conjugation proven unique (KS-Q.6 CLOSED). Conditionally closed (KS-Q.1) on KS-Q.7.

Wave function and Schrödinger equation: DERIVATION. Form forced by Wigner + Stone applied to the derived Hilbert space. ℏ identified (KS-Q.8 in this paper; closed in AP12).

Complete picture: STRUCTURAL SYNTHESIS. Non-load-bearing.