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Bell's theorem proves nonlocality in quantum mechanics from "summary" of The Principles of Quantum Mechanics by P. A. M. Dirac

Bell's theorem is a significant result in the realm of quantum mechanics, shedding light on the concept of nonlocality. It addresses the issue of correlations between distant particles, challenging the classical notions of locality and realism. The theorem demonstrates that certain predictions of quantum mechanics cannot be explained by theories based on local hidden variables. In the context of Bell's theorem, local hidden variables refer to hypothetical properties that determine the outcomes of measurements on quantum systems. These variables are assumed to exist independently of the measurements themselves, allowing for a deterministic explanation of the observed correlations. However, Bell's theorem shows that such explanations are incompatible with the predictions of quantum mechanics. The theorem is based on the concept of Bell inequalities, which are mathematical express...
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    The Principles of Quantum Mechanics

    P. A. M. Dirac

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