Bell’s theorem

E1044639

no-go theorem theorem in quantum mechanics

Bell’s theorem is a fundamental result in quantum mechanics showing that no theory based on local hidden variables can reproduce all the predictions of quantum mechanics, thereby demonstrating the nonlocal nature of quantum correlations.

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All labels observed (6)

Label	Occurrences
Bell's theorem	7
Bell’s theorem canonical	2
Bell inequalities	1
Bell inequality	1
Bell theorem	1
The problem of hidden variables in quantum mechanics	1

How this entity was disambiguated

This entity first appeared as the object of triple T13527297 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07

Target entity: Bell’s theorem
Context triple: [wavefunction collapse, discussedInContextOf, Bell’s theorem]

A. Einstein–Podolsky–Rosen paradox
The Einstein–Podolsky–Rosen paradox is a thought experiment that challenges the completeness of quantum mechanics by highlighting the strange, nonlocal correlations predicted for entangled particles.
B. Kochen–Specker theorem
The Kochen–Specker theorem is a foundational result in quantum mechanics showing that it is impossible to assign consistent, noncontextual definite values to all quantum observables, thereby ruling out a broad class of hidden-variable theories.
C. Clauser–Horne–Shimony–Holt inequality
The Clauser–Horne–Shimony–Holt inequality is a key formulation of Bell's inequality used in quantum mechanics to test the incompatibility of local hidden variable theories with the predictions of quantum entanglement.
D. Clauser–Horne inequality
The Clauser–Horne inequality is a fundamental Bell-type inequality in quantum mechanics used to experimentally test local realism against the predictions of quantum entanglement.
E. Frauchiger–Renner paradox
The Frauchiger–Renner paradox is a thought experiment in quantum foundations that extends Wigner’s friend scenario to argue that standard quantum theory cannot consistently describe its own use by multiple observers.
F. None of above. chosen
G. Unsure - the case is ambiguous/there is not enough information to decide.

NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07

Target entity: Bell’s theorem
Target entity description: Bell’s theorem is a fundamental result in quantum mechanics showing that no theory based on local hidden variables can reproduce all the predictions of quantum mechanics, thereby demonstrating the nonlocal nature of quantum correlations.

A. Einstein–Podolsky–Rosen paradox
The Einstein–Podolsky–Rosen paradox is a thought experiment that challenges the completeness of quantum mechanics by highlighting the strange, nonlocal correlations predicted for entangled particles.
B. Kochen–Specker theorem
The Kochen–Specker theorem is a foundational result in quantum mechanics showing that it is impossible to assign consistent, noncontextual definite values to all quantum observables, thereby ruling out a broad class of hidden-variable theories.
C. Clauser–Horne–Shimony–Holt inequality
The Clauser–Horne–Shimony–Holt inequality is a key formulation of Bell's inequality used in quantum mechanics to test the incompatibility of local hidden variable theories with the predictions of quantum entanglement.
D. Clauser–Horne inequality
The Clauser–Horne inequality is a fundamental Bell-type inequality in quantum mechanics used to experimentally test local realism against the predictions of quantum entanglement.
E. Frauchiger–Renner paradox
The Frauchiger–Renner paradox is a thought experiment in quantum foundations that extends Wigner’s friend scenario to argue that standard quantum theory cannot consistently describe its own use by multiple observers.
F. None of above. chosen

Statements (48)

Predicate	Object
instanceOf	no-go theorem ⓘ theorem in quantum mechanics ⓘ
appliesTo	bipartite entangled systems ⓘ multipartite entangled systems ⓘ
assumes	locality ⓘ measurement independence ⓘ realism ⓘ
challenges	classical intuitions about separability ⓘ local hidden-variable theories ⓘ
conclusion	at least one of locality, realism, or measurement independence must be abandoned ⓘ
field	philosophy of physics ⓘ quantum foundations ⓘ quantum mechanics ⓘ
hasConsequence	Bell inequality violations in quantum experiments ⓘ impossibility of reproducing quantum predictions with local hidden variables ⓘ
hasInterpretationIssue	nature of quantum nonlocality ⓘ status of realism in quantum theory ⓘ
hasVariant	CHSH Bell inequality ⓘ linked to: Clauser–Horne–Shimony–Holt inequality Clauser-Horne inequality ⓘ linked to: Clauser–Horne inequality GHZ argument ⓘ
implies	existence of nonlocal quantum correlations ⓘ
influenced	development of experimental tests of quantum nonlocality ⓘ device-independent quantum cryptography ⓘ quantum information theory ⓘ
mainClaim	no local hidden-variable theory can reproduce all predictions of quantum mechanics ⓘ
mathematicalForm	Bell inequalities on correlation functions ⓘ
namedAfter	John Stewart Bell ⓘ linked to: John Bell
originalPaperTitle	On the Einstein Podolsky Rosen Paradox ⓘ linked to: Einstein–Podolsky–Rosen paradox
publishedIn	Physics journal ⓘ
relatedTo	Bell test experiments ⓘ linked to: Bell test experiment CHSH inequality ⓘ linked to: Clauser–Horne–Shimony–Holt inequality EPR paradox ⓘ linked to: Einstein–Podolsky–Rosen paradox detection loophole ⓘ freedom-of-choice loophole ⓘ locality loophole ⓘ quantum entanglement ⓘ
supports	nonlocal interpretations of quantum mechanics ⓘ
testedBy	Aspect experiments ⓘ linked to: Aspect ion-trap Bell experiments ⓘ linked to: Bell test experiment loophole-free Bell tests ⓘ photonic Bell experiments ⓘ solid-state Bell experiments ⓘ
usesConcept	Bell inequalities ⓘ hidden variables ⓘ local realism ⓘ spacelike separation ⓘ statistical correlations ⓘ
yearProposed	1964 ⓘ

How these facts were elicited

Referenced by (13)

Full triples — surface form annotated when it differs from this entity's canonical label.

wavefunction collapse → discussedInContextOf → Bell’s theorem ⓘ

John Bell → knownFor → Bell's theorem ⓘ

linked to: Bell’s theorem

John Bell → knownFor → Bell inequalities ⓘ

linked to: Bell’s theorem

John Bell → hasConceptNamedAfter → Bell's theorem ⓘ

linked to: Bell’s theorem

John Bell → hasConceptNamedAfter → Bell inequality ⓘ

linked to: Bell’s theorem

Einstein–Podolsky–Rosen paradox → relatedTo → Bell's theorem ⓘ

linked to: Bell’s theorem

John Stewart Bell Prize → namedAfterKnownFor → Bell's theorem ⓘ

linked to: Bell’s theorem

Philosophy of Physics → fieldOfStudy → Bell’s theorem ⓘ

Clauser–Horne–Shimony–Holt inequality → relatedTo → Bell theorem ⓘ

linked to: Bell’s theorem

Clauser–Horne inequality → relatedTo → Bell's theorem ⓘ

linked to: Bell’s theorem

Kochen–Specker theorem → originalTitle → The problem of hidden variables in quantum mechanics ⓘ

linked to: Bell’s theorem

Kochen–Specker theorem → relatedTo → Bell's theorem ⓘ

linked to: Bell’s theorem

Bell test experiment → basedOnTheoryOf → Bell's theorem ⓘ

linked to: Bell’s theorem

All labels observed (6)

How this entity was disambiguated Show

Statements (48)

How these facts were elicited Show

Referenced by (13)

How this entity was disambiguated

How these facts were elicited