Maxwell's equations
E5000
Maxwell's equations are the fundamental set of four equations in classical electromagnetism that describe how electric and magnetic fields are generated and interact with charges and currents.
All labels observed (10)
How this entity was disambiguated
This entity first appeared as the object of triple T80097 — 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: Maxwell's equations Context triple: [On the Electrodynamics of Moving Bodies, basedOn, Maxwell's equations]
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A.
Einstein field equations
The Einstein field equations are the core mathematical framework of general relativity, relating the curvature of spacetime to the distribution of matter and energy.
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B.
Huygens–Fresnel principle
The Huygens–Fresnel principle is a fundamental concept in wave optics that explains how every point on a wavefront acts as a source of secondary wavelets whose interference determines the wave’s subsequent propagation and diffraction.
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C.
On the Electrodynamics of Moving Bodies
"On the Electrodynamics of Moving Bodies" is Albert Einstein’s 1905 paper that introduced the special theory of relativity, fundamentally redefining concepts of space, time, and motion in physics.
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D.
Feynman diagrams
Feynman diagrams are graphical representations used in quantum field theory to visualize and calculate particle interactions and processes.
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E.
Feynman Lectures on Physics
Feynman Lectures on Physics is a renowned three-volume introductory physics textbook based on Richard Feynman’s legendary Caltech lectures, celebrated for its clarity, depth, and engaging style.
- 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: Maxwell's equations Target entity description: Maxwell's equations are the fundamental set of four equations in classical electromagnetism that describe how electric and magnetic fields are generated and interact with charges and currents.
-
A.
Einstein field equations
The Einstein field equations are the core mathematical framework of general relativity, relating the curvature of spacetime to the distribution of matter and energy.
-
B.
Huygens–Fresnel principle
The Huygens–Fresnel principle is a fundamental concept in wave optics that explains how every point on a wavefront acts as a source of secondary wavelets whose interference determines the wave’s subsequent propagation and diffraction.
-
C.
On the Electrodynamics of Moving Bodies
"On the Electrodynamics of Moving Bodies" is Albert Einstein’s 1905 paper that introduced the special theory of relativity, fundamentally redefining concepts of space, time, and motion in physics.
-
D.
Feynman diagrams
Feynman diagrams are graphical representations used in quantum field theory to visualize and calculate particle interactions and processes.
-
E.
Feynman Lectures on Physics
Feynman Lectures on Physics is a renowned three-volume introductory physics textbook based on Richard Feynman’s legendary Caltech lectures, celebrated for its clarity, depth, and engaging style.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
equations of electromagnetism
ⓘ
set of physical laws ⓘ |
| appliesTo |
classical vacuum
ⓘ
linear media ⓘ time-varying electromagnetic fields ⓘ |
| assumes |
charge conservation
ⓘ
classical continuous fields ⓘ |
| compatibleWith |
theory of relativity
ⓘ
surface form:
special relativity
|
| consistsOf |
Ampère–Maxwell law
ⓘ
Faraday's law of induction ⓘ Gauss’s law ⓘ
surface form:
Gauss's law
Gauss's law for magnetism ⓘ |
| describes |
behavior of electric fields
ⓘ
behavior of magnetic fields ⓘ interaction of fields with electric charges ⓘ interaction of fields with electric currents ⓘ |
| expressedIn |
differential form
ⓘ
integral form ⓘ |
| field |
classical electromagnetism
ⓘ
classical field theory ⓘ |
| form | set of four partial differential equations ⓘ |
| formulatedBy | James Clerk Maxwell ⓘ |
| formulatedIn | 19th century ⓘ |
| foundationFor |
classical electrodynamics
ⓘ
classical optics ⓘ electromagnetic wave theory ⓘ |
| generalizedBy | quantum electrodynamics ⓘ |
| implies |
existence of electromagnetic waves
ⓘ
finite speed of propagation of electromagnetic interactions ⓘ |
| namedAfter | James Clerk Maxwell ⓘ |
| predicts | speed of light in vacuum ⓘ |
| relates |
electric charge density
ⓘ
electric current density ⓘ electric field ⓘ magnetic field ⓘ |
| representedUsing | electromagnetic field tensor ⓘ |
| satisfies | Lorentz invariance ⓘ |
| usedIn |
antenna design
ⓘ
computational electromagnetics ⓘ electrical engineering ⓘ microwave engineering ⓘ optical fiber communications ⓘ plasma physics ⓘ radio engineering ⓘ |
| uses |
curl operator
ⓘ
divergence operator ⓘ vector calculus ⓘ |
| validIn | non-relativistic classical limit ⓘ |
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: Maxwell's equations Description of subject: Maxwell's equations are the fundamental set of four equations in classical electromagnetism that describe how electric and magnetic fields are generated and interact with charges and currents.
Referenced by (45)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Maxwell equations
this entity surface form:
Maxwellian electromagnetism
this entity surface form:
Maxwell equations
this entity surface form:
Maxwell’s equations
this entity surface form:
reformulation of Maxwell's equations
subject surface form:
Gauss's law
subject surface form:
Gauss's law
this entity surface form:
Maxwell equations
this entity surface form:
Maxwell’s equations
this entity surface form:
Maxwell theory
this entity surface form:
Maxwell equations
this entity surface form:
Maxwell equations
this entity surface form:
Maxwell equations
this entity surface form:
classical electromagnetism
this entity surface form:
Maxwell's equations framework
this entity surface form:
Maxwell's equations in electrostatic limit
this entity surface form:
Maxwell’s equations
this entity surface form:
Maxwell equations
Vlasov equation (for long-range interactions and negligible collisions)
→
combinedWith
→
Maxwell's equations
ⓘ
subject surface form:
Vlasov equation
this entity surface form:
Maxwell equations
this entity surface form:
Maxwell's equations (classical limit)
subject surface form:
Quantum Electronics
this entity surface form:
Maxwell equations
this entity surface form:
Maxwell equations
this entity surface form:
Maxwell equations