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On the Einstein-Podolsky-Rosen Proof of the `Incompleteness' of Quantum Mechanics

J. H. Field
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Abstract

It is shown that the Einstein-Podolsky-Rosen conclusion concerning the `incompleteness' of Quantum Mechanics does not follow from the results of their proposed gedanken experiment, but is rather stated as a premise. If it were possible to perform the experiment it would, in fact, show that Quantum Mechanics is `complete' for the observables discussed. Because, however, of the non square-integrable nature of the wave function, the proposed experiment gives vanishing probabilities for measurements performed in finite intervals of configuration or momentum space. Hence no conclusion as to the `completeness', or otherwise, of Quantum Mechanics can be drawn from the experiment.

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J. H. Field. 2007-02-02. On the Einstein-Podolsky-Rosen Proof of the `Incompleteness' of Quantum Mechanics. https://arxiv.org/abs/quant-ph/0702018

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