A Simple Proof of Locality in Quantum Mechanics

Ali Kaya

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arXiv · 2108.10694

A Simple Proof of Locality in Quantum Mechanics

Ali Kaya

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Abstract

While quantum mechanics allows spooky action at a distance at the level of the wave-function, it also respects locality since there is no instantaneous propagation of real physical effects. We show that this feature can be proved in the standard interpretation of quantum mechanics by a simple general result involving commuting Hermitian operators corresponding to distant (causally disconnected) observables. This is reminiscent of satisfying the locality condition in relativistic quantum field theories.

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Ali Kaya. 2021-08-17. A Simple Proof of Locality in Quantum Mechanics. https://arxiv.org/abs/2108.10694

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