Loop Quantum Gravity

By Carlo Rovelli. Living Reviews in Relativity, 2003

1,067 citations recorded by the source corpus.

I give a synthetic presentation of loop quantum gravity. I present the aims of the theory and compare the results obtained with the initial hopes that motivated the early interest in this research direction. I give my own perspective on the status of the program and attempt for a critical evaluation of its successes and limitations.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2c1a4a7e5683961825bf2b8d6f01dfc24e27b57d

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In Atomic and Molecular Physics, and Optics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

The Spin-Foam Approach to Quantum Gravity (2012, methodology): “4 Loop Quantum Gravity and Quantum Geometry in a Nutshell LQG is a proposal for the implementation of the quantization program established in the 1960s by Dirac, Wheeler, and DeWitt, among others (for recent reviews see [35, 356, 323]).”
Quantum-Spacetime Phenomenology (2008, methodology): “As mentioned, according to the present understanding of LQG, the fundamental description of spacetime involves some intrinsic discretization [476, 502], and, although very little of robust is presently known about the Minkowski limit of the theory, several indirect arguments suggest that this discre”
Brane-World Gravity (2004, neutral): “, [365, 409]).”
Algebraic quantum gravity (AQG): IV. Reduced phase space quantization of loop quantum gravity (2007, methodology): “In unreduced LQG one can still argue that most of the uncountably infinite number of choices are gauge related under the spatial diffeomorphism group and in fact spatial diffeomorphism invariance is used in order to carry out the limit P → X in a specific operator topology [11, 15].”
Prospects for constraining quantum gravity dispersion with near term observations (2009, background): “Note that while Gambini and Pullin worked within the framework of loop quantum gravity [18, 19, 20, 21], their scenario depends on the assumption of a particular and nonphysical ground state for that theory.”
Toward an understanding of flow in video games (2008, background): “…accept that this principle is not tenable in a description of interactive computing [Lieberman and Selker 2000] (or as some would contend, even in physical reality [Smolin 2003]), we must move to an observer-dependent, interactive view of information systems (all references to such use lowercase).”
Partial and complete observables for canonical general relativity (2005, methodology): “∫ ddσ1 · · · ddσr { · · · {f, C̃K1(σ1)}, . . . , C̃Kr (σr)}(x) × (τK1(σ1) − T K1(σ1)(x)) · · · (τKr (σk) − T Kr (σr)(x)).”
Algebraic quantum gravity (AQG): I. Conceptual setup (2006, background): “See [1] for books and [2] for recent reviews on the subject.”