scholarly journals BTZ black hole entropy in loop quantum gravity and in spin foam models

2014 ◽  
Vol 46 (5) ◽  
Author(s):  
J. Manuel García-Islas
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Black Hole Entropy ◽  
Btz Black Hole ◽  
Spin Foam Models ◽  
Spin Foam

scholarly journals ENTROPY AND AREA IN LOOP QUANTUM GRAVITY

2005 ◽  
Vol 14 (12) ◽  
pp. 2301-2305
Author(s):  
JOHN SWAIN
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Maximum Entropy ◽  
Degrees Of Freedom ◽  
Loop Quantum Gravity ◽  
Black Hole Entropy ◽  
Black Hole Thermodynamics ◽  
Three Dimensions ◽  
Spin Network

Black hole thermodynamics suggests that the maximum entropy that can be contained in a region of space is proportional to the area enclosing it rather than its volume. We argue that this follows naturally from loop quantum gravity and a result of Kolmogorov and Bardzin' on the the realizability of networks in three dimensions. This represents an alternative to other approaches in which some sort of correlation between field configurations helps limit the degrees of freedom within a region. It also provides an approach to thinking about black hole entropy in terms of states inside rather than on its surface. Intuitively, a spin network complicated enough to imbue a region with volume only lets that volume grow as quickly as the area bounding it.

scholarly journals Black-hole entropy in loop quantum gravity and number theory

2010 ◽  
Vol 88 (3) ◽  
pp. 223-225
Author(s):  
J. Manuel García-Islas
Keyword(s):  
Black Hole ◽  
Number Theory ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Black Hole Entropy

We show that counting different configurations that give rise to black-hole entropy in loop quantum gravity is related to partitions in number theory.

scholarly journals Loop quantum gravity and Planck-size black hole entropy

2007 ◽  
Vol 68 ◽  
pp. 012031 ◽  
Author(s):  
Alejandro Corichi ◽  
Jacobo Díaz-Polo ◽  
Enrique Fernández-Borja
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Black Hole Entropy

scholarly journals Spin Foam Models with Finite Groups

2013 ◽  
Vol 2013 ◽  
pp. 1-28 ◽  
Author(s):  
Benjamin Bahr ◽  
Bianca Dittrich ◽  
James P. Ryan
Keyword(s):  
Field Theory ◽  
Quantum Gravity ◽  
Finite Groups ◽  
Loop Quantum Gravity ◽  
Theory Approach ◽  
Test Bed ◽  
Spin Foam Models ◽  
Spin Foam ◽  
Group Field Theory ◽  
The Many

Spin foam models, loop quantum gravity, and group field theory are discussed as quantum gravity candidate theories and usually involve a continuous Lie group. We advocate here to consider quantum gravity-inspired models with finite groups, firstly as a test bed for the full theory and secondly as a class of new lattice theories possibly featuring an analogue diffeomorphism symmetry. To make these notes accessible to readers outside the quantum gravity community, we provide an introduction to some essential concepts in the loop quantum gravity, spin foam, and group field theory approach and point out the many connections to the lattice field theory and the condensed-matter systems.

scholarly journals On the computation of black hole entropy in loop quantum gravity

2009 ◽  
Vol 26 (3) ◽  
pp. 035017 ◽  
Author(s):  
J Fernando Barbero G ◽  
Eduardo J S Villaseñor
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Black Hole Entropy
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