Wheeler–DeWitt equation
E121385
The Wheeler–DeWitt equation is a fundamental equation in quantum gravity that attempts to describe the quantum state of the entire universe without reference to time.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Wheeler–DeWitt equation canonical | 2 |
| Hamiltonian constraint | 1 |
| WDW equation | 1 |
| “Wave Function of the Universe” | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1057832 — 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: Wheeler–DeWitt equation Context triple: [John Archibald Wheeler, knownFor, Wheeler–DeWitt equation]
-
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.
Dirac equation
The Dirac equation is a fundamental relativistic wave equation in quantum mechanics that describes spin-½ particles such as electrons and predicts phenomena like antimatter.
-
C.
Klein–Gordon equation
The Klein–Gordon equation is a relativistic wave equation that describes spin-0 (scalar) particles in quantum field theory.
-
D.
Super-many-time theory of quantum mechanics
The Super-many-time theory of quantum mechanics is a relativistic generalization of quantum mechanics that introduces multiple time variables to consistently describe interacting quantum fields in different reference frames.
-
E.
Schwarzschild–Milne equations
The Schwarzschild–Milne equations are fundamental integro-differential equations in radiative transfer theory that describe the propagation and scattering of radiation through a plane-parallel, absorbing and emitting medium.
- 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: Wheeler–DeWitt equation Target entity description: The Wheeler–DeWitt equation is a fundamental equation in quantum gravity that attempts to describe the quantum state of the entire universe without reference to time.
-
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.
Dirac equation
The Dirac equation is a fundamental relativistic wave equation in quantum mechanics that describes spin-½ particles such as electrons and predicts phenomena like antimatter.
-
C.
Klein–Gordon equation
The Klein–Gordon equation is a relativistic wave equation that describes spin-0 (scalar) particles in quantum field theory.
-
D.
Super-many-time theory of quantum mechanics
The Super-many-time theory of quantum mechanics is a relativistic generalization of quantum mechanics that introduces multiple time variables to consistently describe interacting quantum fields in different reference frames.
-
E.
Schwarzschild–Milne equations
The Schwarzschild–Milne equations are fundamental integro-differential equations in radiative transfer theory that describe the propagation and scattering of radiation through a plane-parallel, absorbing and emitting medium.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
canonical quantum gravity equation
ⓘ
equation in quantum gravity ⓘ equation in theoretical physics ⓘ |
| actsOn |
superspace of 3-geometries
ⓘ
wave functional of 3-geometry ⓘ |
| addresses | problem of time in quantum gravity ⓘ |
| alsoKnownAs |
Wheeler–DeWitt equation
ⓘ
surface form:
WDW equation
|
| approximationMethod |
Born–Oppenheimer approximation
ⓘ
WKB approximation ⓘ |
| basedOn |
ADM formalism
ⓘ
canonical quantization of general relativity ⓘ |
| competesWith |
loop quantum gravity approaches
ⓘ
string theory approaches to quantum gravity ⓘ |
| describes |
quantum state of the universe
ⓘ
wave function of the universe ⓘ |
| differsFrom |
Schrödinger equation
ⓘ
surface form:
Schrödinger equation by absence of external time parameter
|
| domain | superspace ⓘ |
| field |
general relativity
ⓘ
quantum cosmology ⓘ quantum gravity ⓘ |
| hasCharacteristic |
background independent
ⓘ
functional differential equation ⓘ non-perturbative ⓘ time-independent ⓘ |
| historicalDevelopment | formulated in the 1960s ⓘ |
| implies | frozen formalism of quantum gravity ⓘ |
| influenced |
development of quantum cosmology
ⓘ
research on the problem of time in physics ⓘ |
| involves |
Wheeler–DeWitt equation
self-linksurface differs
ⓘ
surface form:
Hamiltonian constraint
|
| mathematicalForm | HΨ = 0 ⓘ |
| motivates |
emergent time scenarios
ⓘ
semiclassical time approximation ⓘ |
| namedAfter |
Bryce DeWitt
ⓘ
John Archibald Wheeler ⓘ |
| openProblem |
inner product and Hilbert space structure
ⓘ
mathematical well-definedness in full superspace ⓘ physical interpretation of timeless wave function ⓘ |
| proposedBy |
Bryce DeWitt
ⓘ
John Archibald Wheeler ⓘ |
| quantizes | 3-metric of space ⓘ |
| relatedConcept |
DeWitt supermetric
ⓘ
Hamiltonian constraint in general relativity ⓘ Hartle–Hawking no-boundary proposal ⓘ wave function of the universe ⓘ |
| relatesTo | Schrödinger equation ⓘ |
| usedIn |
early universe cosmology
ⓘ
minisuperspace models ⓘ quantum cosmological models ⓘ |
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: Wheeler–DeWitt equation Description of subject: The Wheeler–DeWitt equation is a fundamental equation in quantum gravity that attempts to describe the quantum state of the entire universe without reference to time.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
WDW equation
this entity surface form:
Hamiltonian constraint
this entity surface form:
“Wave Function of the Universe”