Measurement as Reclosure: Boundary Stabilization, Outcome Selection, and Atomic-Object Residue

Quantum Closure Sequence: Translation -> Evolution -> Reclosure U (t): 𝒫cl → 𝒫cl RM: 𝒫cl → OAO Measurement is the boundary-conditioned reclosure of partial closure into atomic-object residue. Paper 1 established quantum mechanics as the mathematics of partial closure within Atomic Continuum Ontology. Paper 2 interpreted the Schrödinger equation as the differential law of phase-preserving partial-closure evolution under Hamiltonian admissibility. This third paper addresses the measurement problem by distinguishing Schrödinger evolution from measurement reclosure. Schrödinger evolution preserves partial closure, while measurement resolves partial closure into atomic-object residue. The central thesis is that measurement is the boundary-conditioned reclosure of partial continuum admissibility into determinate atomic-object residue. Collapse is therefore not interpreted as a magical discontinuity, nor as the sudden creation of reality by an observer. It is reinterpreted as closure resolution through a measurement boundary. The apparatus functions as a macroscopic reclosure boundary; the Born rule gives relative reclosure weighting; decoherence stabilizes outcome channels; and the observed object is the disclosed residue of reclosure rather than the hidden pre-measurement substance. A worked spin-measurement example demonstrates how superposed admissible channels become resolved through a measurement axis into determinate residue. This paper prepares the transition to Paper 4, where entanglement will be interpreted as shared closure prior to separable objecthood. U (t): 𝒫cl → 𝒫cl RM: 𝒫cl → OAO