Gauss's law for magnetism
E31558
Gauss's law for magnetism is the Maxwell equation stating that magnetic monopoles do not exist and that magnetic field lines always form closed loops with zero net flux through any closed surface.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Gauss's law for magnetism canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T244215 — 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: Gauss's law for magnetism Context triple: [Maxwell's equations, consistsOf, Gauss's law for magnetism]
-
A.
Gauss’s law
Gauss’s law is a fundamental principle of electromagnetism that relates the electric flux through a closed surface to the electric charge enclosed within that surface.
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B.
Maxwell's equations
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.
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C.
Gaussian units
Gaussian units are a cgs-based system of electromagnetic units widely used in theoretical physics, especially in electrodynamics, for their mathematical simplicity and symmetry.
-
D.
Noether's theorem
Noether's theorem is a fundamental result in theoretical physics and mathematics that links continuous symmetries of a physical system to corresponding conservation laws, such as energy or momentum conservation.
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E.
London equations
The London equations are fundamental relations in superconductivity that describe how magnetic fields behave inside superconductors, capturing key features like the Meissner effect and zero electrical resistance.
- 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: Gauss's law for magnetism Target entity description: Gauss's law for magnetism is the Maxwell equation stating that magnetic monopoles do not exist and that magnetic field lines always form closed loops with zero net flux through any closed surface.
-
A.
Gauss’s law
Gauss’s law is a fundamental principle of electromagnetism that relates the electric flux through a closed surface to the electric charge enclosed within that surface.
-
B.
Maxwell's equations
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.
-
C.
Gaussian units
Gaussian units are a cgs-based system of electromagnetic units widely used in theoretical physics, especially in electrodynamics, for their mathematical simplicity and symmetry.
-
D.
Noether's theorem
Noether's theorem is a fundamental result in theoretical physics and mathematics that links continuous symmetries of a physical system to corresponding conservation laws, such as energy or momentum conservation.
-
E.
London equations
The London equations are fundamental relations in superconductivity that describe how magnetic fields behave inside superconductors, capturing key features like the Meissner effect and zero electrical resistance.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
Maxwell equation
ⓘ
law of electromagnetism ⓘ physical law ⓘ |
| appliesTo | closed surfaces ⓘ |
| approximationLevel | classical (non-quantum) description ⓘ |
| assumes | absence of magnetic charge density ⓘ |
| componentOf | set of four Maxwell equations ⓘ |
| consequence |
magnetic field is solenoidal
ⓘ
magnetic field lines have no beginning or end ⓘ |
| contrastsWith |
Gauss's law for electricity
ⓘ
linked to:
Gauss’s law
|
| coordinateForm | ∂B_x/∂x + ∂B_y/∂y + ∂B_z/∂z = 0 ⓘ |
| expressedIn | Maxwell's equations ⓘ |
| expresses | divergence-free nature of the magnetic field ⓘ |
| field |
classical electrodynamics
ⓘ
electromagnetism ⓘ |
| formulatedIn |
differential form
ⓘ
integral form ⓘ |
| holdsIn |
linear media
ⓘ
nonlinear media ⓘ vacuum ⓘ |
| implies |
magnetic field lines form closed loops
ⓘ
magnetic monopoles do not exist in classical electromagnetism ⓘ |
| involvesConcept |
closed surface integral
ⓘ
magnetic flux conservation ⓘ |
| involvesOperator | divergence operator ⓘ |
| isIntegralFormOf | ∇ · B = 0 ⓘ |
| isLocalFormOf | ∮_S B · dA = 0 ⓘ |
| mathematicalForm |
∇ · B = 0
ⓘ
∮_S B · dA = 0 ⓘ |
| namedAfter | Carl Friedrich Gauss ⓘ |
| quantityDescribed |
magnetic field
ⓘ
magnetic flux ⓘ |
| relatedTo |
Ampère–Maxwell law
ⓘ
Faraday's law of induction ⓘ Maxwell–Faraday equation ⓘ
linked to:
Faraday's law of induction
|
| representedIn | tensor form of electromagnetism ⓘ |
| states | the net magnetic flux through any closed surface is zero ⓘ |
| status | empirically well supported ⓘ |
| testedBy | searches for magnetic monopoles ⓘ |
| usedIn |
electromagnetic theory
ⓘ
magnetohydrodynamics ⓘ magnetostatics ⓘ plasma physics ⓘ |
| usesSymbol |
B
ⓘ
dA ⓘ ∇ ⓘ |
| validIn | special relativity ⓘ |
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: Gauss's law for magnetism Description of subject: Gauss's law for magnetism is the Maxwell equation stating that magnetic monopoles do not exist and that magnetic field lines always form closed loops with zero net flux through any closed surface.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.