The Missing Premises of Quantum Measurement - Definite records and the Born rule from identity under transformation

Abstract

La Profilée is the structural architecture of determinate nature: Constitution identifies the whole, Transformation evaluates its existence and identity through change, and Coexistence evaluates relations among realized wholes. This paper applies the full architecture to quantum measurement without changing the quantum equations. Its physical subject remains definite outcomes, their relation to unitary evolution, the Born law, and the identity of the records that carry them. A physically completed coupling resolves an exhaustive exclusive record variable; LP determinability then gives one actual record value without an observer selecting it. Exclusive actuality does not entail projection of the globally retained quantum state. Rank-one calibration and repeatability fix the affirmative branch map. Statistical non-contextuality additionally requires identity of the complete input–event experiment and descent of its law to that identity class. Stable Boolean event frequencies then give the Gleason representation, and preparation faithfulness identifies its operator with the prepared state. Each inference is proved in the text. The argument determines the carrier and instrument before using these results. It proves that a unique instrument constitution does not select a run outcome, and that decoherence alone does not identify the physical record partition. Worked reversible-laboratory and relational cases distinguish an actual event from persistence of its record. Quantum recovery makes the distinction quantitative: a two-qubit copying channel preserves classical labels exactly, loses local full-qubit recoverability with optimal normalized diamond error one half, and preserves the full code jointly. Continuation-family and complementary-channel results connect those measurement records to information preservation, including evaporation. The resulting measurement theorem states its structural and physical requirements explicitly; it does not predict the individual outcome or infer multi-time consistency from a formal state–label pair alone.