Born statistical interpretation
E368818
The Born statistical interpretation is the quantum-mechanical view that a system’s wave function encodes probabilities for measurement outcomes rather than definite physical properties.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Born statistical interpretation canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T3572448 — 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: Born statistical interpretation Context triple: [Born rule, alsoKnownAs, Born statistical interpretation]
-
A.
A Treatise on Probability
A Treatise on Probability is John Maynard Keynes’s influential 1921 work that develops a logical and philosophical theory of probability, challenging classical and frequency-based interpretations.
-
B.
Statistical Methods for Research Workers
Statistical Methods for Research Workers is a foundational 1925 statistics textbook by Ronald A. Fisher that helped establish modern statistical theory and practice in scientific research.
-
C.
Laplace law of error
The Laplace law of error is a probability distribution characterized by a sharp peak at the mean and heavier tails than the normal distribution, historically used to model the magnitude of observational errors.
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D.
Gaussian law of error
The Gaussian law of error is a fundamental statistical principle stating that measurement errors tend to follow a normal (bell-shaped) distribution, forming the basis of much of probability theory and statistical inference.
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E.
The Principles of Statistical Mechanics
The Principles of Statistical Mechanics is a classic 1938 textbook by Richard C. Tolman that systematically develops the foundations of statistical mechanics and its applications to thermodynamics and physical chemistry.
- 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: Born statistical interpretation Target entity description: The Born statistical interpretation is the quantum-mechanical view that a system’s wave function encodes probabilities for measurement outcomes rather than definite physical properties.
-
A.
A Treatise on Probability
A Treatise on Probability is John Maynard Keynes’s influential 1921 work that develops a logical and philosophical theory of probability, challenging classical and frequency-based interpretations.
-
B.
Statistical Methods for Research Workers
Statistical Methods for Research Workers is a foundational 1925 statistics textbook by Ronald A. Fisher that helped establish modern statistical theory and practice in scientific research.
-
C.
Laplace law of error
The Laplace law of error is a probability distribution characterized by a sharp peak at the mean and heavier tails than the normal distribution, historically used to model the magnitude of observational errors.
-
D.
Gaussian law of error
The Gaussian law of error is a fundamental statistical principle stating that measurement errors tend to follow a normal (bell-shaped) distribution, forming the basis of much of probability theory and statistical inference.
-
E.
The Principles of Statistical Mechanics
The Principles of Statistical Mechanics is a classic 1938 textbook by Richard C. Tolman that systematically develops the foundations of statistical mechanics and its applications to thermodynamics and physical chemistry.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
interpretation of quantum mechanics
ⓘ
probabilistic interpretation ⓘ |
| addressesProblem | connection between wave function and measurement statistics ⓘ |
| appliesTo |
nonrelativistic quantum mechanics
ⓘ
quantum states ⓘ wave packets ⓘ |
| assumes |
normalization of the wave function
ⓘ
probabilities sum to one ⓘ |
| category |
foundations of quantum mechanics
ⓘ
philosophy of physics ⓘ |
| compatibleWith |
Hilbert space formalism of quantum mechanics
ⓘ
operator eigenvalue–eigenvector link ⓘ |
| contrastsWith |
classical determinism
ⓘ
hidden variable theories ⓘ many-worlds interpretation ⓘ pilot-wave theory ⓘ |
| coreConcept |
measurement outcome
ⓘ
probability amplitude ⓘ probability density ⓘ wave function ⓘ |
| emphasizes |
role of measurement in defining outcomes
ⓘ
statistical character of quantum predictions ⓘ |
| field |
quantum mechanics
ⓘ
theoretical physics ⓘ |
| hasConsequence |
indeterminism at the level of single events
ⓘ
predictability of ensemble averages ⓘ |
| historicalProponent | Max Born ⓘ |
| implies |
individual measurement outcomes are not determined by the wave function alone
ⓘ
only ensemble statistics are directly described by the wave function ⓘ |
| influenced | standard textbook formulation of quantum mechanics ⓘ |
| influencedBy |
experimental scattering data
ⓘ
wave–particle duality experiments ⓘ |
| involvesConcept |
projection postulate
ⓘ
quantum measurement postulates ⓘ |
| mathematicalFormulation |
P(a_i)=|⟨a_i|ψ⟩|^2 for discrete eigenvalues
ⓘ
P(x)=|ψ(x)|^2 for position measurements ⓘ |
| namedAfter | Max Born ⓘ |
| publishedIn | Zeitschrift für Physik ⓘ |
| relatedTo | Copenhagen interpretation ⓘ |
| relatesQuantity |
modulus squared of the wave function
ⓘ
probability density in configuration space ⓘ |
| statesThat |
measurement results are intrinsically probabilistic
ⓘ
only probabilities of outcomes are predictable ⓘ the wave function does not represent definite physical properties ⓘ the wave function encodes probabilities for measurement outcomes ⓘ |
| usesRule |
Born rule
ⓘ
linked to:
Born rule in quantum mechanics
|
| yearProposed | 1926 ⓘ |
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: Born statistical interpretation Description of subject: The Born statistical interpretation is the quantum-mechanical view that a system’s wave function encodes probabilities for measurement outcomes rather than definite physical properties.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject linked to:
Born rule in quantum mechanics