Weyl’s gauge theory
E117659
Weyl’s gauge theory is an early 20th-century theoretical framework that introduced the concept of local gauge invariance, laying foundational ideas for modern gauge theories in particle physics.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Weyl’s gauge theory canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T990137 — 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.
Target entity: Weyl’s gauge theory Context triple: [Hermann Weyl, knownFor, Weyl’s gauge theory]
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A.
Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED
Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED is a landmark theoretical result that rigorously demonstrated the mathematical consistency and mutual compatibility of different approaches to quantum electrodynamics.
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B.
Einstein–Maxwell equations
The Einstein–Maxwell equations are the coupled set of field equations in general relativity that describe how spacetime curvature and electromagnetic fields interact and influence each other.
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C.
Wigner’s theorem on symmetry transformations
Wigner’s theorem on symmetry transformations is a fundamental result in quantum mechanics stating that any symmetry of transition probabilities is represented by either a unitary or antiunitary operator on the system’s Hilbert space.
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D.
Salam–Weinberg model
The Salam–Weinberg model is the electroweak theory that unifies the electromagnetic and weak nuclear forces within the Standard Model of particle physics.
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E.
Faddeev’s axioms
Faddeev’s axioms are a set of conditions characterizing Shannon entropy in information theory, providing an alternative but equivalent axiomatization to the Shannon–Khinchin framework.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Weyl’s gauge theory Target entity description: Weyl’s gauge theory is an early 20th-century theoretical framework that introduced the concept of local gauge invariance, laying foundational ideas for modern gauge theories in particle physics.
-
A.
Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED
Dyson’s proof of equivalence of Feynman and Schwinger–Tomonaga formulations of QED is a landmark theoretical result that rigorously demonstrated the mathematical consistency and mutual compatibility of different approaches to quantum electrodynamics.
-
B.
Einstein–Maxwell equations
The Einstein–Maxwell equations are the coupled set of field equations in general relativity that describe how spacetime curvature and electromagnetic fields interact and influence each other.
-
C.
Wigner’s theorem on symmetry transformations
Wigner’s theorem on symmetry transformations is a fundamental result in quantum mechanics stating that any symmetry of transition probabilities is represented by either a unitary or antiunitary operator on the system’s Hilbert space.
-
D.
Salam–Weinberg model
The Salam–Weinberg model is the electroweak theory that unifies the electromagnetic and weak nuclear forces within the Standard Model of particle physics.
-
E.
Faddeev’s axioms
Faddeev’s axioms are a set of conditions characterizing Shannon entropy in information theory, providing an alternative but equivalent axiomatization to the Shannon–Khinchin framework.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
classical field theory
ⓘ
gauge theory ⓘ physical theory ⓘ theory in theoretical physics ⓘ |
| aimedToUnify |
electromagnetism
ⓘ
gravitation ⓘ |
| appliesTo |
electromagnetic field
ⓘ
spacetime geometry ⓘ |
| author | Hermann Weyl ⓘ |
| basedOn |
differential geometry
ⓘ
general relativity ⓘ |
| criticismReason |
conflicted with observed stability of atomic spectra
ⓘ
predicted non-integrable length of measuring rods ⓘ |
| criticizedBy | Albert Einstein ⓘ |
| developedInDecade | 1910s ⓘ |
| fieldIntroduced |
gauge potential
ⓘ
vector potential associated with scale transformations ⓘ |
| fieldOfStudy |
mathematical physics
ⓘ
particle physics ⓘ theoretical physics ⓘ |
| hasKeyIdea |
connection between geometry and electromagnetism
ⓘ
physical laws invariant under local transformations ⓘ |
| historicalOutcome | rejected as a fundamental theory of gravity ⓘ |
| historicalPeriod | early 20th century ⓘ |
| influencedBy |
Einstein’s general relativity
ⓘ
Riemannian manifolds ⓘ
surface form:
Riemannian geometry
|
| inspiredConcept |
U(1) gauge invariance in electromagnetism
ⓘ
Yang–Mills theory ⓘ modern gauge theories ⓘ standard model gauge interactions ⓘ |
| introducedConcept |
gauge field
ⓘ
gauge symmetry ⓘ local gauge invariance ⓘ scale invariance ⓘ |
| legacy |
conceptual precursor of quantum electrodynamics
ⓘ
foundation for modern gauge principle ⓘ influenced development of non-abelian gauge theories ⓘ |
| originalGaugeIdea |
local rescaling of the metric
ⓘ
position-dependent change of length scale ⓘ |
| proposedInYear | 1918 ⓘ |
| relatedTo |
U(1) gauge symmetry
ⓘ
gauge invariance in quantum mechanics ⓘ phase invariance of the wavefunction ⓘ |
| symmetryGroupType |
gauge group
ⓘ
local symmetry ⓘ |
| unificationType | geometrical unification ⓘ |
| usesMathematicalStructure |
Weyl geometry
ⓘ
connection on a fiber bundle ⓘ |
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.
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.
Subject: Weyl’s gauge theory Description of subject: Weyl’s gauge theory is an early 20th-century theoretical framework that introduced the concept of local gauge invariance, laying foundational ideas for modern gauge theories in particle physics.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.