Dirac quantization condition
E566115
The Dirac quantization condition is a fundamental relation in quantum theory that requires electric and magnetic charges—such as those of hypothetical Dirac magnetic monopoles—to be quantized in discrete units.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Dirac quantization condition canonical | 3 |
How this entity was disambiguated
This entity first appeared as the object of triple T6088166 — 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: Dirac quantization condition Context triple: [Dirac magnetic monopoles, satisfies, Dirac quantization condition]
-
A.
Dirac magnetic monopoles
Dirac magnetic monopoles are hypothetical elementary particles proposed by Paul Dirac that carry isolated magnetic charge, whose existence would explain the quantization of electric charge and profoundly impact fundamental physics.
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B.
Aharonov–Bohm effect
The Aharonov–Bohm effect is a quantum mechanical phenomenon in which charged particles are influenced by electromagnetic potentials in regions where the classical electromagnetic fields are zero, revealing the physical significance of potentials in quantum theory.
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C.
Aharonov–Casher effect
The Aharonov–Casher effect is a quantum mechanical phenomenon in which a neutral particle with a magnetic moment acquires a measurable phase shift when moving around a line of electric charge, illustrating the significance of electromagnetic potentials.
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D.
Weyl’s gauge theory
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.
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E.
Sommerfeld quantization rules
Sommerfeld quantization rules are an early quantum theory refinement of Bohr’s model that quantize electron motion in elliptical orbits using action integrals, helping to explain fine-structure details in atomic spectra.
- 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: Dirac quantization condition Target entity description: The Dirac quantization condition is a fundamental relation in quantum theory that requires electric and magnetic charges—such as those of hypothetical Dirac magnetic monopoles—to be quantized in discrete units.
-
A.
Dirac magnetic monopoles
Dirac magnetic monopoles are hypothetical elementary particles proposed by Paul Dirac that carry isolated magnetic charge, whose existence would explain the quantization of electric charge and profoundly impact fundamental physics.
-
B.
Aharonov–Bohm effect
The Aharonov–Bohm effect is a quantum mechanical phenomenon in which charged particles are influenced by electromagnetic potentials in regions where the classical electromagnetic fields are zero, revealing the physical significance of potentials in quantum theory.
-
C.
Aharonov–Casher effect
The Aharonov–Casher effect is a quantum mechanical phenomenon in which a neutral particle with a magnetic moment acquires a measurable phase shift when moving around a line of electric charge, illustrating the significance of electromagnetic potentials.
-
D.
Weyl’s gauge theory
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.
-
E.
Sommerfeld quantization rules
Sommerfeld quantization rules are an early quantum theory refinement of Bohr’s model that quantize electron motion in elliptical orbits using action integrals, helping to explain fine-structure details in atomic spectra.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
physical law
ⓘ
quantization condition ⓘ quantum theory result ⓘ theoretical physics concept ⓘ |
| appliesTo |
electric charge
ⓘ
electromagnetic field ⓘ magnetic charge ⓘ magnetic monopoles ⓘ |
| appliesToTheory |
electrodynamics with monopoles
ⓘ
gauge theory ⓘ quantum field theory ⓘ quantum mechanics ⓘ |
| assumes | existence of at least one magnetic monopole ⓘ |
| domain |
particle physics
ⓘ
quantum electrodynamics ⓘ theoretical physics ⓘ |
| ensures |
single-valuedness of charged particle wavefunction
ⓘ
unobservability of Dirac string ⓘ |
| expressedAs | e g = 2π n ħ c ⓘ |
| formulatedBy | Paul Dirac NERFINISHED ⓘ |
| hasConsequence |
explains observed quantization of electric charge
ⓘ
links topology to charge quantization ⓘ |
| hasMathematicalNature | topological quantization condition ⓘ |
| implies | product of electric and magnetic charges is quantized ⓘ |
| imposes | constraint on allowed charge values ⓘ |
| includesParameter | integer n ⓘ |
| influenced | development of monopole solutions in non-abelian gauge theories ⓘ |
| integerParameterRepresents | topological winding number ⓘ |
| motivatedBy | existence of magnetic monopoles ⓘ |
| predicts |
if any magnetic monopole exists then electric charge must be quantized
ⓘ
minimal magnetic charge for a given electric charge ⓘ |
| publishedIn | Proceedings of the Royal Society A NERFINISHED ⓘ |
| relatedTo |
Aharonov–Bohm effect
NERFINISHED
ⓘ
Dirac monopole NERFINISHED ⓘ U(1) gauge theory NERFINISHED ⓘ fiber bundle topology ⓘ first Chern class ⓘ magnetic monopole ⓘ |
| relatesQuantity |
Planck constant ħ
NERFINISHED
ⓘ
electric charge e ⓘ magnetic charge g ⓘ speed of light c ⓘ |
| requires |
quantization of electric charge
ⓘ
quantization of magnetic charge ⓘ |
| usedIn |
grand unified theories
ⓘ
string theory monopole solutions ⓘ ’t Hooft–Polyakov monopole analysis NERFINISHED ⓘ |
| yearProposed | 1931 ⓘ |
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: Dirac quantization condition Description of subject: The Dirac quantization condition is a fundamental relation in quantum theory that requires electric and magnetic charges—such as those of hypothetical Dirac magnetic monopoles—to be quantized in discrete units.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject surface form:
't Hooft–Polyakov monopoles