Maxwell's equations

E5000

equations of electromagnetism set of physical laws

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.

Try in SPARQL Jump to: Surface forms Disambiguation Statements Elicitation Referenced by

AI illustration

All labels observed (11)

Label	Occurrences
Maxwell's equations canonical	28
Maxwell equations	14
Maxwell’s equations	8
Maxwell theory	1
Maxwell's electromagnetic theory	1
Maxwell's equations (classical limit)	1
Maxwell's equations framework	1
Maxwell's equations in electrostatic limit	1
Maxwellian electromagnetism	1
classical electromagnetism	1
reformulation of Maxwell's equations	1

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]

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
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	special relativity ⓘ linked to: theory of relativity
consistsOf	Ampère–Maxwell law ⓘ Faraday's law of induction ⓘ Gauss's law ⓘ linked to: 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

Referenced by (58)

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

On the Electrodynamics of Moving Bodies → basedOn → Maxwell's equations ⓘ

James Clerk Maxwell → knownFor → Maxwell's equations ⓘ

Huygens–Fresnel principle → approximationOf → Maxwell equations ⓘ

linked to: Maxwell's equations

Newtonian optics → followedBy → Maxwellian electromagnetism ⓘ

linked to: Maxwell's equations

Maxwell stress tensor → relatedTo → Maxwell equations ⓘ

linked to: Maxwell's equations

On Physical Lines of Force → laidFoundationFor → Maxwell's equations ⓘ

A Treatise on Electricity and Magnetism → formulates → Maxwell’s equations ⓘ

linked to: Maxwell's equations

Oliver Heaviside → knownFor → reformulation of Maxwell's equations ⓘ

linked to: Maxwell's equations

Gauss's law → partOf → Maxwell's equations ⓘ

subject linked to: Gauss’s law

Gauss's law → relatedConcept → Maxwell's equations ⓘ

subject linked to: Gauss’s law

Gaussian units → relatedConcept → Maxwell equations ⓘ

linked to: Maxwell's equations

Gauss's law for magnetism → expressedIn → Maxwell's equations ⓘ

Faraday's law of induction → componentOf → Maxwell's equations ⓘ

Ampère–Maxwell law → partOf → Maxwell's equations ⓘ

special relativity → consistentWith → Maxwell’s equations ⓘ

linked to: Maxwell's equations

wave theory of light → relatedTo → Maxwell's equations ⓘ

Fresnel equations → basedOn → Maxwell's equations ⓘ

Poynting vector → isDefinedIn → Maxwell theory ⓘ

linked to: Maxwell's equations

Lorentz force → relatedTo → Maxwell equations ⓘ

linked to: Maxwell's equations

A Dynamical Theory of the Electromagnetic Field → introducedConcept → Maxwell's equations ⓘ

Einstein–Maxwell equations → basedOn → Maxwell equations ⓘ

linked to: Maxwell's equations

Einstein–Maxwell equations → relatedTo → Maxwell equations ⓘ

linked to: Maxwell's equations

Kirchhoff's circuit laws → relatedTo → Maxwell's equations ⓘ

electron theory of matter → category → classical electromagnetism ⓘ

linked to: Maxwell's equations

Lorentz ether theory → compatibleWith → Maxwell's equations ⓘ

telegrapher's equations → basedOn → Maxwell's equations ⓘ

Hertzian waves → confirmedTheoryOf → Maxwell's equations ⓘ

Hertzian waves → areDescribedBy → Maxwell's equations ⓘ

Kirchhoff diffraction theory → approximationOf → Maxwell's equations ⓘ

Lenz's law → componentOf → Maxwell's equations framework ⓘ

linked to: Maxwell's equations

Gaussian surface → relatedConcept → Maxwell's equations ⓘ

Coulomb's law → isSpecialCaseOf → Maxwell's equations in electrostatic limit ⓘ

linked to: Maxwell's equations

Ampère's force law → compatibleWith → Maxwell's equations ⓘ

spacetime algebra → simplifies → Maxwell’s equations ⓘ

linked to: Maxwell's equations

Born–Infeld electrodynamics → modifies → Maxwell equations ⓘ

linked to: Maxwell's equations

Sommerfeld–Brillouin precursor theory → basedOn → Maxwell's equations ⓘ

Vlasov equation → combinedWith → Maxwell equations ⓘ

subject linked to: Vlasov equation (for long-range interactions and negligible collisions)

linked to: Maxwell's equations

photon → obeysTheory → Maxwell's equations (classical limit) ⓘ

linked to: Maxwell's equations

RF engineering → requiresKnowledgeOf → Maxwell's equations ⓘ

Electricity and Magnetism → topic → Maxwell's equations ⓘ

Theoretical Elements of Electrical Engineering → influencedBy → Maxwell's equations ⓘ

Quantum Electronics → containsMathematics → Maxwell equations ⓘ

subject linked to: textbook "Quantum Electronics"

linked to: Maxwell's equations

Poynting theorem → isFormulatedInTermsOf → Maxwell equations ⓘ

linked to: Maxwell's equations

Larmor formula → derivedFrom → Maxwell equations ⓘ

linked to: Maxwell's equations

Aether and Matter → relatedTo → Maxwell's equations ⓘ

Thomson scattering → governedBy → Maxwell equations ⓘ

linked to: Maxwell's equations

George Francis FitzGerald → researched → Maxwell's electromagnetic theory ⓘ

linked to: Maxwell's equations

Modern Views of Electricity → relatedConcept → Maxwell’s equations ⓘ

linked to: Maxwell's equations

Helmholtz equation → relatedTo → Maxwell equations ⓘ

linked to: Maxwell's equations

X-ray free-electron lasers → governedBy → Maxwell’s equations ⓘ

linked to: Maxwell's equations

All labels observed (11)

How this entity was disambiguated Show

Statements (48)

How these facts were elicited Show

Referenced by (58)

How this entity was disambiguated

How these facts were elicited