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Bell's theorem: experiments show quantum particles can't be explained by hidden properties set in advance

the gist

Bell's theorem shows that quantum mechanics cannot be reproduced by any theory where particles carry hidden properties that are set in advance and only influenced by their immediate surroundings. In 1964 John Stewart Bell derived a mathematical limit that such local hidden-variable theories must obey for the correlations between measurements on entangled particles. Quantum mechanics predicts results that break this limit. John Clauser and Stuart Freedman first observed the violation in a laboratory in 1970. Later Bell tests, which closed experimental loopholes, have consistently confirmed quantum predictions. Physicists still disagree about what the result means for the nature of reality, but the experiments themselves are not in doubt.

how it works

Entangled particles produce measurement results that are correlated. If each particle carried fixed instructions decided at creation, the correlations would be limited by a mathematical inequality. Quantum mechanics predicts stronger correlations, and experiments measure them, so the simple local picture fails.

so what

The theorem decided a debate that Einstein and others had pressed for decades, showing that entanglement cannot be explained away by hidden local information. It underpins quantum cryptography and quantum computing, where entanglement is used as a resource. It is also why the 2022 Nobel Prize in Physics went to experimenters who tested Bell's ideas.

fun fact

John Clauser shared the 2022 Nobel Prize in Physics for work on Bell tests.

more on this

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Illustrative photo · Joseph C Boone, CC BY-SA 4.0, via Wikimedia Commons