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This paper proposes a theoretical resolution regarding how superpositions yield definite outcomes in entangled systems, addressing foundational questions about state vector collapse and nonlocal correlations without invoking nonlinearities or ad hoc assertions. By demonstrating that the single wavefunction encodes statistical measurement outcomes for separated subsystems, it offers new insights into why quantum mechanics explains paradoxical nonlocality without requiring direct interaction between those subsystems.
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Measurement of quantum states and nonlocal correlations

arXiv2 min read

arXiv:2605.21243v2 Announce Type: replace Abstract: One of the major remaining questions concerning foundations of the quantum mechanical theory is how superpositions are measured such that definite outcomes are obtained. Here a resolution to that issue is proposed. It is shown how to obtain state vectors associated with measurements on the separated subystems of an entangled state, revealing how a single wavefunction encodes a set of statistical measurement outcomes. The result explains why measurements on the subsystems give definite outcomes and why measurements on one subsystem are correlated with those on the other. It is therefore concluded that the theory of quantum mechanics, without nonlinearities or \emph{ad hoc} assertions, can explain both the mechanism of state vector collapse and the reason for the paradoxical nonlocal correlations between separated subsystems.The theory also explains why nonlocal correlations do not require any kind of interaction between the subsystems.

Abstract:One of the major remaining questions concerning foundations of the quantum mechanical theory is how superpositions are measured such that definite outcomes are obtained. Here a resolution to that issue is proposed. It is shown how to obtain state vectors associated with measurements on the separated subystems of an entangled state, revealing how a single wavefunction encodes a set of statistical measurement outcomes. The result explains why measurements on the subsystems give definite outcomes and why measurements on one subsystem are correlated with those on the other. It is therefore concluded that the theory of quantum mechanics, without nonlinearities or \emph{ad hoc} assertions, can explain both the mechanism of state vector collapse and the reason for the paradoxical nonlocal correlations between separated this http URL theory also explains why nonlocal correlations do not require any kind of interaction between the subsystems.

arXiv:2605.21243 [quant-ph]

(or arXiv:2605.21243v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2605.21243 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 230 words

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