Canonical Quantum Gravity

1993/04/08 by Karel Kuchař, Karel Kuchar, Kuchar, Karel · 4 citations
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9304012

Latex, 35 pages. arXiv admin note: figures missing

arxiv created 1993/04/08 · openalex publication_date 1993/04/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

• Lie Theory suffices to understand, and Locally Resolve, the Problem of\n Time
• A Local Resolution of the Problem of Time. III. The other classical facets piecemeal
• Comparative Theory of Background Independence
• A Local Resolution of the Problem of Time. VIII. Assignment of\n Observables

Related

• Fundamentals and recent developments in non-perturbative canonical Quantum Gravity
• The quantization of gravity - an introduction
• Step-by-Step Canonical Quantum Gravity -- Part I: Ashtekar's New Variables
• Still on the way to quantizing gravity
• Canonical Quantum Gravity and the Problem of Time