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Quantum & Atomic Physics

Bell's Theorem

A mathematical theorem proving that no physical theory incorporating local hidden variables can reproduce all predictions of quantum mechanics.

Governing formula |E(a, b) - E(a, b')| + |E(a', b) + E(a', b')| ≤ 2
SI unit Dimensionless Inequality

In depth

Formulated by John Stewart Bell, the theorem establishes experimental criteria (Bell inequalities). Quantum mechanics predicts correlations that violate these inequalities, proving that nature is non-local or that physical properties do not exist prior to measurement.

Examples in the real world

Experimental verification of Bell inequality violations using polarization-entangled photons, earning the 2022 Nobel Prize in Physics.