Kryukov, Alexey (2026) Quantum Paradoxes and the Quantum-Classical Transition under Unitary Measurement Dynamics with Random Hamiltonians. [Preprint]

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Abstract

Recent work showed that, when equivalence classes of states reflecting finite detector resolution are employed, the Born rule can be derived from linear Schr\"odinger evolution driven by random Hamiltonians drawn from the Gaussian Unitary Ensemble. We apply this framework to foundational paradoxes of quantum mechanics, showing that measurement, state reduction, and the emergence of classical behavior follow from stochastic but unitary dynamics in projective state space together with the use of equivalence classes. Traditional quantum paradoxes, including the measurement problem, Schr\"odinger's cat, Wigner's friend, and the quantum-classical transition, are reinterpreted as consequences of state-space geometry and stochastic unitary dynamics, rather than as indications of a breakdown of unitarity. Classical and quantum behavior emerge as distinct dynamical regimes of a single model, determined by physically motivated parameter choices rather than by fundamentally different laws.

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Item Type:	Preprint
Creators:	Creators Email ORCID Kryukov, Alexey kryukov@uwm.edu
Keywords:	measurement problem, state reduction, wave function collapse, random matrices, quantum paradoxes
Subjects:	Specific Sciences > Physics Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Alexey Kryukov
Date Deposited:	16 Jan 2026 13:46
Last Modified:	16 Jan 2026 13:46
Item ID:	27924
Subjects:	Specific Sciences > Physics Specific Sciences > Physics > Quantum Mechanics
Date:	15 January 2026
URI:	https://philsci-archive.pitt.edu/id/eprint/27924

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