Euclidean quantum gravity
E287413
Euclidean quantum gravity is an approach to quantum gravity that reformulates general relativity in imaginary (Euclidean) time to define a path integral over geometries, often used in black hole thermodynamics and early-universe cosmology.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Euclidean quantum gravity canonical | 3 |
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
approach to quantum gravity
ⓘ
theoretical physics framework ⓘ |
| aimsToDescribe | quantum properties of spacetime ⓘ |
| appliedIn |
black hole thermodynamics
ⓘ
early-universe cosmology ⓘ quantum cosmology ⓘ |
| assumes | analytic continuation from Lorentzian to Euclidean metrics ⓘ |
| basedOnTheory | general relativity ⓘ |
| contrastsWith |
Lorentzian quantum gravity
ⓘ
canonical quantum gravity ⓘ loop quantum gravity ⓘ |
| field | quantum gravity ⓘ |
| frameworkType | semiclassical approximation often used ⓘ |
| goal | define a non-perturbative quantum theory of gravity ⓘ |
| hasProblem |
conformal factor problem
ⓘ
ill-defined gravitational path integral ⓘ non-renormalizability ⓘ |
| historicallyDevelopedBy |
Gary Gibbons
ⓘ
James Hartle ⓘ Stephen Hawking ⓘ |
| influenced |
path-integral approaches to quantum cosmology
ⓘ
semiclassical gravity calculations ⓘ |
| integratesOver |
Riemannian metrics
ⓘ
spacetime geometries ⓘ |
| relatedToConcept |
Hartle–Hawking no-boundary proposal
ⓘ
Hawking radiation ⓘ Wick rotation ⓘ black hole entropy ⓘ gravitational instantons ⓘ partition function of gravity ⓘ thermal properties of black holes ⓘ |
| status | incomplete theory ⓘ |
| studiedIn |
high-energy theoretical physics
ⓘ
mathematical physics ⓘ |
| usedFor |
computing black hole entropy
ⓘ
defining gravitational partition functions ⓘ deriving black hole temperature ⓘ studying quantum creation of the universe ⓘ |
| usesMathematics |
Riemannian geometry
ⓘ
differential geometry ⓘ functional integration ⓘ quantum field theory in curved spacetime ⓘ topology of manifolds ⓘ |
| usesMethod | path integral ⓘ |
| usesSignature | Euclidean signature ⓘ |
| usesTimeFormalism | imaginary time ⓘ |
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.