scholarly journals HOLOGRAPHY FROM LOOP QUANTUM GRAVITY

2008 ◽  
Vol 17 (03n04) ◽  
pp. 545-549 ◽  
Author(s):  
RODOLFO GAMBINI ◽  
JORGE PULLIN
Keyword(s):  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Basic Structure ◽  
Spherically Symmetric ◽  
Quantum Geometry ◽  
Amount Of Information

We show that holography follows directly from the basic structure of spherically symmetric loop quantum gravity. The result is not dependent on detailed assumptions about the dynamics of the theory being considered. It ties strongly the amount of information contained in a region of space to the tight mathematical underpinnings of loop quantum geometry.

scholarly journals A CRITICAL ANALYSIS OF THE COSMOLOGICAL IMPLEMENTATION OF LOOP QUANTUM GRAVITY

2012 ◽  
Vol 27 (07) ◽  
pp. 1250032 ◽  
Author(s):  
FRANCESCO CIANFRANI ◽  
GIOVANNI MONTANI
Keyword(s):  
Quantum Gravity ◽  
Quantum Cosmology ◽  
Loop Quantum Gravity ◽  
Critical Discussion ◽  
Point Of View ◽  
Graph Structure ◽  
Quantum Geometry ◽  
Cosmological Problem ◽  
New Perspective ◽  
Made In

This papers offers a critical discussion on the procedure by which Loop Quantum Cosmology (LQC) is constructed from the full Loop Quantum Gravity (LQG) theory. Revising recent issues in preserving SU(2) symmetry when quantizing the isotropic Universe, we trace a new perspective in approaching the cosmological problem within quantum geometry. The cosmological sector of LQG is reviewed and a critical point of view on LQC is presented. It is outlined how a polymer-like scale for quantum cosmology can be predicted from a proper fundamental graph underlying the homogeneous and isotropic continuous picture. However, such a minimum scale does not coincide with the choice made in LQC. Finally, the perspectives towards a consistent cosmological LQG model based on such a graph structure are discussed.

scholarly journals Quantum Geometry II : The Mathematics of Loop Quantum Gravity Three dimensional quantum gravity

2020 ◽  
Author(s):  
J. Manuel Garcia-Islas
Keyword(s):  
General Relativity ◽  
Quantum Gravity ◽  
Physical Theory ◽  
Loop Quantum Gravity ◽  
Three Dimensional ◽  
Point Of View ◽  
Quantum Geometry ◽  
Mathematical Task ◽  
Postgraduate Students ◽  
And Mathematics

Loop quantum gravity is a physical theory which aims at unifying general relativity and quantum mechanics. It takes general relativity very seriously and departing from such theory quantise it. General relativity describes gravity in terms of geometry. Therefore, quantising such theory must be equivalent to quantising geometry and that is what loop quantum gravity does. This sounds like a mathematical task as well. This is why in this paper we will present the mathematics of loop quantum gravity. We will do it from a mathematician point of view. This paper is intended to be an introduction to loop quantum gravity for postgraduate students of physics and mathematics. In this work we will restrict ourselves to the three dimensional case.

scholarly journals Spherically symmetric loop quantum gravity: analysis of improved dynamics

2020 ◽  
Vol 37 (20) ◽  
pp. 205012 ◽  
Author(s):  
Rodolfo Gambini ◽  
Javier Olmedo ◽  
Jorge Pullin
Keyword(s):  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Spherically Symmetric
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