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From Unitary Quantum Dynamics to Classical Manifestation: A Record-Ontology Approach to the Quantum Measurement Problem

Zhou, George S.
PhilArchive · Papers
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philosophy
How can a single, globally consistent classical reality be manifested from a superposed quantum reality, when linear unitary evolution itself forbids a superposition from being mapped into one selected calibrated outcome? This question lies at the core of the century-old quantum measurement problem. We develop a theoretical framework that preserves universal quantum unitarity throughout while identifying the additional structure required for objective classical factuality. Born-weighted alternatives and conditioned outcomes are first separated: identifiable QND monitoring produces martingale concentration with Born hitting probabilities without collapse of the global state. Candidate record formation is then distinguished from objective-record admission: only physically qualified, persistent, publicly readable records are eligible to enter the admitted record domain. Admitted sharp records that can be read without state-independent disturbance form finite commutative algebras; faithful copying, causal transport, persistence, and common-future comparison organize these patches into a directed record net, whose inductive limit defines one global stochastic record space within a future-connected, nonrelativistic record-forming domain. Finite imperfections are controlled at the level of the complete joint record-history law, and a scalability criterion shows that global classical reliability persists when record-stabilization exponents exceed the growth rates of record-network complexity and storage time. In an explicit size-scaled Kerr-parametric-oscillator realization, inter-sector coherence is exactly invisible to admissible QND record strategies, while the remaining macroscopic record dynamics admits a controlled finite-time Keldysh–Freidlin–Wentzell reduction under stated regularity conditions. The exact structural theorems concern ideal sharp records; approximate records are covered by the finite-error bounds. The resulting mathematics constructs one globally compatible classical possibility structure but does not dynamically select a point of a non-Dirac measure. We therefore isolate the minimal residual ontological commitment as Unindexed Classical Factuality: objective classical facts are actual simpliciter rather than branch-relative, and the global Born measure is read as the objective chance of which compatible record history is manifested. We argue that, within this stated record ontology, the framework offers a candidate resolution of the quantum measurement problem and extends decoherence theory from the local suppression of interference to the dynamical formation, global closure, and scalable stability of objective classical reality.
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