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Candidate theories
There are a number of proposed quantum gravity theories.[33] Currently, there is still no complete and consistent quantum theory of gravity, and the candidate models still need to overcome major formal and conceptual problems. They also face the common problem that, as yet, there is no way to put quantum gravity predictions to experimental tests, although there is hope for this to change as future data from cosmological observations and particle physics experiments becomes available.[34][35]
There are a number of other approaches to quantum gravity. The approaches differ depending on which features of general relativity and quantum theory are accepted unchanged, and which features are modified.[51][52] Examples include:
- Asymptotic safety in quantum gravity
- Euclidean quantum gravity
- Causal dynamical triangulation[53]
- Causal fermion systems
- Causal Set Theory
- Covariant Feynman path integral approach
- Group field theory
- Wheeler–DeWitt equation
- Geometrodynamics
- Hořava–Lifshitz gravity
- MacDowell–Mansouri action
- Noncommutative geometry
- Path-integral based models of quantum cosmology[54]
- Regge calculus
- Scale relativity
- Shape Dynamics
- String-nets and quantum graphity
- Superfluid vacuum theory a.k.a. theory of BEC vacuum
- Supergravity
- Twistor theory[55]
- Canonical quantum gravity
- Quantum holonomy theory[56]
