What question did this study set out to answer?

To clarify the mathematical scope and foundational assumptions of John von Neumann's hidden-parameter proof using Dirac notation while addressing recent criticisms.

August 1, 1961American Journal of Physics

Von Neumann's Hidden-Parameter Proof

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JAJames S. AlbertsonPomfret School

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Implication

Theoretical analysis reveals the true scope of von Neumann's hidden-parameter proof using Dirac calculus, indicating its independence from standard quantum statistical assumptions.

Key Points

To clarify the mathematical scope and foundational assumptions of John von Neumann's hidden-parameter proof using Dirac notation while addressing recent criticisms.
Reformulated von Neumann's formal mathematical proof into standard Dirac bra-ket calculus.
Analyzed the core dependencies of the proof regarding pure-state statistical assumptions and their extensions to mixed quantum states.
Demonstrated that von Neumann's proof holds independently of standard pure-state quantum statistical expectation assumptions.
Confirmed that the proof does not depend on the generalized trace formulation for statistical mixtures.
Delineated the exact mathematical boundaries of the theorem to resolve misinterpretations narrowing its original scope.

Cite This Study

James S. Albertson (1961) studied this question.

synapsesocial.com/papers/6a11d3c335a4eec8fedce91b https://doi.org/10.1119/1.1937816

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Implication

Theoretical analysis reveals the true scope of von Neumann's hidden-parameter proof using Dirac calculus, indicating its independence from standard quantum statistical assumptions.

Von Neumann's Hidden-Parameter Proof

Discussion

Member takes

Implication

Key Points

Cite This Study

Von Neumann's Hidden-Parameter Proof

Discussion

Member takes

Implication

Key Points

Cite This Study

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