No physical theory based on local hidden variables can reproduce all of the statistical predictions of quantum mechanics. Proved by John Stewart Bell, it is expressed through inequalities that have since been tested experimentally, ruling out local hidden-variable explanations of quantum entanglement.
Facts
StatementNo physical theory of local hidden variables can reproduce all of the predictions of quantum mechanics; quantum mechanics is incompatible with local hidden-variable theories. 1 Classification
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Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
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Sources
1. Bell's Theorem (Wikipedia)
Wikimedia FoundationLead section, opening definition
Bell's theorem is a term encompassing a number of closely related results in physics, all of which determine that quantum mechanics is incompatible with local hidden-variable theories
Lead section, sentence naming Bell and 1964
The first such result was introduced by John Stewart Bell in 1964, building upon the Einstein-Podolsky-Rosen paradox
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