# Canonical Quantum Gravity

@inproceedings{Zanelli1985CanonicalQG, title={Canonical Quantum Gravity}, author={Jorge Zanelli}, year={1985} }

This is a review of the aspirations and disappointments of the canonical quantization of geometry. I compare the two chief ways of looking at canonical gravity, geometrodynamics and connection dynamics. I capture as much of the classical theory as I can by pictorial visualization. Algebraic aspects dominate my description of the quantization program. I address the problem of observables. The reader is encouraged to follow the broad outlines and not worry about the technical details. CLASSICAL…

## 116 Citations

### Constraints in Quantum Geometrodynamics

- Physics
- 2004

We compare different treatments of the constraints in canonical quantum gravity. The standard approach on the superspace of 3-geometries treats the constraints as the sole carriers of the dynamic…

### Quantum geometrodynamics: whence, whither?

- Physics
- 2009

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…

### WKB approach to the gravity-matter dynamics: a cosmological implementation

- Physics
- 2021

The problem of time emerging in the canonical quantization procedure of gravity signals a necessity to properly define a relational time parameter. Previous approaches, which are here briefly…

### General Relativity without paradigm of space-time covariance, and resolution of the problem of time

- Physics
- 2012

The framework of a theory of gravity from the quantum to the classical regime is presented. The paradigm shift from full spacetime covariance to spatial diffeomorphism invariance, together with clean…

### General Covariance and its Implications for Einstein's Space-Times

- Physics
- 2005

This is a review of the chrono-geometrical structure of special and general relativity with a special emphasis on the role of non-inertial frames and of the conventions for the synchronization of…

### Critical Analysis of the Semiclassical Quantum Gravity Corrections to Quantum Field Theory in Born-Oppenheimer like Approximations

- Physics
- 2019

The problem of time is one of the most relevant open issues in canonical quantum gravity. Although there is a huge literature about this problem, a commonly accepted solution has not been found yet.…

### Semiclassical and quantum analysis of the isotropic Universe in the polymer paradigm

- PhysicsPhysical Review D
- 2019

We analyse the semi-classical and quantum dynamics of the isotropic Universe in the framework of the Polymer Quantum mechanics, in order to implement a cut-off physics on the initial singularity. We…

### Gravitational effects in macroscopic quantum systems: a first-principles analysis

- PhysicsClassical and Quantum Gravity
- 2021

We analyze the weak-field limit of general relativity with matter and its possible quantisations. This analysis aims toward a predictive quantum theory to provide a first-principles description of…

### Spacetime and the Philosophical Challenge of Quantum Gravity

- Physics
- 1999

We survey some philosophical aspects of the search for a quantum theory of gravity, emphasising how quantum gravity throws into doubt the treatment of spacetime common to the two ‘ingredient…

### The Role of Time in Relational Quantum Theories

- Physics
- 2012

We propose a solution to the problem of time for systems with a single global Hamiltonian constraint. Our solution stems from the observation that, for these theories, conventional gauge theory…

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