Bell’s theorem
E1044639
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.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Bell's theorem | 3 |
| Bell inequalities | 1 |
| Bell inequality | 1 |
| Bell’s theorem canonical | 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]
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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.
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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.
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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.
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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.
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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.
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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
NERFINISHED
ⓘ
Clauser-Horne inequality NERFINISHED ⓘ 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 NERFINISHED ⓘ |
| originalPaperTitle | On the Einstein Podolsky Rosen Paradox NERFINISHED ⓘ |
| publishedIn | Physics journal ⓘ |
| relatedTo |
Bell test experiments
NERFINISHED
ⓘ
CHSH inequality NERFINISHED ⓘ EPR paradox NERFINISHED ⓘ detection loophole ⓘ freedom-of-choice loophole ⓘ locality loophole ⓘ quantum entanglement ⓘ |
| supports | nonlocal interpretations of quantum mechanics ⓘ |
| testedBy |
Aspect experiments
NERFINISHED
ⓘ
ion-trap Bell experiments NERFINISHED ⓘ loophole-free Bell tests ⓘ photonic Bell experiments ⓘ solid-state Bell experiments ⓘ |
| usesConcept |
Bell inequalities
NERFINISHED
ⓘ
hidden variables ⓘ local realism ⓘ spacelike separation ⓘ statistical correlations ⓘ |
| yearProposed | 1964 ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Bell’s theorem Description of subject: 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.
Referenced by (6)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Bell's theorem
this entity surface form:
Bell inequality
this entity surface form:
Bell's theorem