CPT theorem
E645109
The CPT theorem is a fundamental result in quantum field theory stating that any Lorentz-invariant local quantum field theory with a Hermitian Hamiltonian is invariant under the combined operations of charge conjugation (C), parity transformation (P), and time reversal (T).
All labels observed (2)
| Label | Occurrences |
|---|---|
| CPT theorem canonical | 3 |
| charge conjugation–parity–time reversal theorem | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T7150513 — 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: CPT theorem Context triple: [spin–statistics theorem, isRelatedTo, CPT theorem]
-
A.
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.
-
B.
spin–statistics theorem
The spin–statistics theorem is a fundamental result in quantum field theory that links a particle’s intrinsic spin to the type of quantum statistics it obeys, explaining why fermions obey the Pauli exclusion principle while bosons do not.
-
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.
Ward–Takahashi identities
The Ward–Takahashi identities are fundamental relations in quantum field theory that express the consequences of gauge or global symmetries for Green’s functions and ensure the consistency of renormalization with these symmetries.
-
E.
H-theorem
The H-theorem is Boltzmann’s foundational result in statistical mechanics that explains the irreversible increase of entropy in a gas from time-reversible microscopic dynamics, providing a key link between mechanics and the second law of thermodynamics.
- 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: CPT theorem Target entity description: The CPT theorem is a fundamental result in quantum field theory stating that any Lorentz-invariant local quantum field theory with a Hermitian Hamiltonian is invariant under the combined operations of charge conjugation (C), parity transformation (P), and time reversal (T).
-
A.
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.
-
B.
spin–statistics theorem
The spin–statistics theorem is a fundamental result in quantum field theory that links a particle’s intrinsic spin to the type of quantum statistics it obeys, explaining why fermions obey the Pauli exclusion principle while bosons do not.
-
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.
Ward–Takahashi identities
The Ward–Takahashi identities are fundamental relations in quantum field theory that express the consequences of gauge or global symmetries for Green’s functions and ensure the consistency of renormalization with these symmetries.
-
E.
H-theorem
The H-theorem is Boltzmann’s foundational result in statistical mechanics that explains the irreversible increase of entropy in a gas from time-reversible microscopic dynamics, providing a key link between mechanics and the second law of thermodynamics.
- F. None of above. chosen
Statements (51)
| Predicate | Object |
|---|---|
| instanceOf |
symmetry principle
ⓘ
theorem in quantum field theory ⓘ |
| abbreviation | CPT theorem ⓘ |
| allows |
violation of C symmetry alone
ⓘ
violation of CP symmetry ⓘ violation of CT symmetry ⓘ violation of P symmetry alone ⓘ violation of PT symmetry ⓘ violation of T symmetry alone ⓘ |
| appliesTo |
free quantum field theories
ⓘ
interacting quantum field theories ⓘ relativistic quantum field theories ⓘ |
| constrains | possible violations of discrete symmetries in quantum field theory ⓘ |
| field | quantum field theory ⓘ |
| forbids | violation of combined CPT symmetry in local Lorentz-invariant QFT ⓘ |
| fullName |
charge conjugation–parity–time reversal theorem
ⓘ
linked to:
CPT theorem
|
| hasMathematicalFramework |
Wightman axioms
ⓘ
axiomatic quantum field theory ⓘ |
| historicallyProvedBy |
Gerhard Lüders
ⓘ
Julian Schwinger ⓘ Wolfgang Pauli ⓘ |
| holdsIn |
Minkowski spacetime
ⓘ
linked to:
Minkowski space-time
|
| implies |
equality of magnitudes of particle and antiparticle charges with opposite sign
ⓘ
equality of particle and antiparticle lifetimes ⓘ equality of particle and antiparticle masses ⓘ existence of antiparticles with related properties to particles ⓘ |
| impliesInvarianceUnder | combined CPT transformation ⓘ |
| involvesOperation |
charge conjugation
ⓘ
parity transformation ⓘ time reversal ⓘ |
| isConsequenceOf |
Lorentz invariance and locality in Minkowski spacetime
ⓘ
microcausality ⓘ unitarity ⓘ |
| isRelatedTo |
Lorentz symmetry
ⓘ
linked to:
Lorentz group
Poincaré invariance ⓘ discrete symmetries in quantum field theory ⓘ spin–statistics theorem ⓘ |
| isTestedBy |
B-meson experiments
ⓘ
kaon experiments ⓘ neutral meson systems ⓘ precision spectroscopy of particles and antiparticles ⓘ |
| isUsedIn |
high-energy physics experiments
ⓘ
particle physics ⓘ tests of fundamental symmetries ⓘ |
| mayFailIf |
Hamiltonian is non-Hermitian
ⓘ
Lorentz invariance is violated ⓘ locality is violated ⓘ |
| requiresProperty |
Hermitian Hamiltonian
ⓘ
Lorentz invariance ⓘ locality ⓘ |
| states | any Lorentz-invariant local quantum field theory with a Hermitian Hamiltonian is invariant under CPT ⓘ |
How these facts were elicited
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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: CPT theorem Description of subject: The CPT theorem is a fundamental result in quantum field theory stating that any Lorentz-invariant local quantum field theory with a Hermitian Hamiltonian is invariant under the combined operations of charge conjugation (C), parity transformation (P), and time reversal (T).
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: CPT theorem