Quantum geometrodynamics: whence, whither?
@article{Kiefer2009QuantumGW, title={Quantum geometrodynamics: whence, whither?}, author={Claus Kiefer}, journal={General Relativity and Gravitation}, year={2009}, volume={41}, pages={877-901} }
Quantum geometrodynamics is canonical quantum gravity with the three-metric as the configuration variable. Its central equation is the Wheeler–DeWitt equation. Here I give an overview of the status of this approach. The issues discussed include the problem of time, the relation to the covariant theory, the semiclassical approximation as well as applications to black holes and cosmology. I conclude that quantum geometrodynamics is still a viable approach and provides insights into both the…
39 Citations
Quantum cosmology from the de Broglie–Bohm perspective
- Physics
- 2013
We review the main results that have been obtained in quantum cosmology from the perspective of the de Broglie?Bohm quantum theory. As it is a dynamical theory of assumed objectively real…
Topology and volume effects in quantum gravity: Wheeler–DeWitt theory
- Physics
- 2014
We consider the quantization of space-times which can possess different topologies within a symmetry reduced version of Wheeler–DeWitt theory. The quantum states are defined from a natural…
Making a Quantum Universe: Symmetry and Gravity
- PhysicsUniverse
- 2020
So far, none of attempts to quantize gravity has led to a satisfactory model that not only describe gravity in the realm of a quantum world, but also its relation to elementary particles and other…
Cosmological models with asymmetric quantum bounces
- PhysicsClassical and Quantum Gravity
- 2020
In quantum cosmology, one has to select a specific wave function solution of the quantum state equations under consideration in order to obtain concrete results. The simplest choices have been…
Cosmological consequences of Quantum Gravity proposals
- Physics
- 2018
In this thesis, we study the implications of Quantum Gravity models for the dynamics of spacetime and the ensuing departures from classical General Relativity. The main focus is on cosmological…
Comparing Quantum Gravity Models: String Theory, Loop Quantum Gravity, and Entanglement Gravity versus SU(∞)-QGR
- PhysicsSymmetry
- 2022
In a previous article we proposed a new model for quantum gravity (QGR) and cosmology, dubbed SU(∞)-QGR. One of the axioms of this model is that Hilbert spaces of the Universe and its subsystems…
Objective Quantum Gravity, Its Possible Relation to Gauge Theories and Strings
- Physics
- 2014
In this paper the model of quantum gravity for the higher dimensional Lorentzian space-times, in the sense of the analogy with the Arnowitt–Deser–Misner decomposition well-known from General…
Quantum Gravity and a Time Operator in Relativistic Quantum Mechanics
- Physics
- 2016
The problem of time in the quantization of gravity arises from the fact that time in Schroedinger's equation is a parameter. This sets time apart from the spatial coordinates, represented by…
Some Numerical and Phenomenological Studies in Loop Quantum Cosmology
- Physics
- 2014
A key feature of the singularity resolution in loop quantum cosmology (LQC) is the occurrence of the quantum bounce when the spacetime curvature becomes comparable to the Planck scale. The presence…
Can the Arrow of Time Be Understood from Quantum Cosmology
- Physics
- 2012
I address the question whether the origin of the observed arrow of time can be derived from quantum cosmology. After a general discussion of entropy in cosmology and some numerical estimates, I give…
References
SHOWING 1-10 OF 91 REFERENCES
Semiclassical approximation to supersymmetric quantum gravity
- Physics
- 2005
We develop a semiclassical approximation scheme for the constraint equations of supersymmetric canonical quantum gravity. This is achieved by a Born-Oppenheimer type of expansion, in analogy to the…
Quantum theory of gravitational collapse (lecture notes on quantum conchology)
- Physics
- 2003
These notes consist of three parts. The first one contains the review of previous work on a gauge-invariant Hamiltonian dynamics of generally covariant models. The method is based on the exclusive…
The timelessness of quantum gravity: I. The evidence from the classical theory
- Physics
- 1994
The issue of time is addressed. It is argued that time as such does not exist but that instants, defined as complete relative configurations of the universe, do. It is shown how the classical…
Derivation of the Ten Einstein Field Equations from the Semiclassical Approximation to Quantum Geometrodynamics
- Physics
- 1969
HIS work deals with the Hamilton-Jacobi equation for Einstein s theory of gravity. The aim is to show that all ten Einstein 6eld equations are a direct consequence of the principle of constructive…
Quantum geometry and gravity: Recent advances
- Physics
- 2001
Over the last three years, a number of fundamental physical issues were addressed in loop quantum gravity. These include: A statistical mechanical derivation of the horizon entropy, encompassing…
Quantum Theory of Gravity. I. The Canonical Theory
- Mathematics
- 1967
Following an historical introduction, the conventional canonical formulation of general relativity theory is presented. The canonical Lagrangian is expressed in terms of the extrinsic and intrinsic…
Quantum Gravity (2nd edn)
- Physics
- 2008
There has been a flurry of books on quantum gravity in the past few years. The first edition of Kiefer's book appeared in 2004, about the same time as Carlo Rovelli's book with the same title. This…
Quantum Gravity
- Physics
- 2002
General lectures on quantum gravity. 1 General Questions on Quantum Gravity It is not clear at all what is the problem in quantum gravity (cf. [3] or [8] for general reviews, written in the same…