scholarly journals Simplification of the spectral analysis of the volume operator in loop quantum gravity

2006 ◽  
Vol 23 (4) ◽  
pp. 1289-1346 ◽  
Author(s):  
J Brunnemann ◽  
T Thiemann
Keyword(s):  
Spectral Analysis ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Volume Operator

scholarly journals Spectral Analysis of Volume Operators in Loop Quantum Gravity for Kinematical Case

2019 ◽  
Vol 1245 ◽  
pp. 012086
Author(s):  
Ignatius Sebastian ◽  
Idrus Husin ◽  
Seramika Ariwahjoedi ◽  
Freddy P. Zen
Keyword(s):  
Spectral Analysis ◽  
Quantum Gravity ◽  
Loop Quantum Gravity

scholarly journals Polytopes in all dimensional loop quantum gravity

2022 ◽  
Vol 82 (1) ◽  
Author(s):  
Gaoping Long ◽  
Yongge Ma
Keyword(s):  
Quantum Gravity ◽  
Weak Solutions ◽  
Loop Quantum Gravity ◽  
Semiclassical Limit ◽  
Reconstruction Algorithm ◽  
Shape Space ◽  
Volume Operator

AbstractThe Lasserre’s reconstruction algorithm is extended to the D-polytopes with the construction of their shape space. Thus, the areas of d-skeletons $$(1\le d\le D)$$ ( 1 ≤ d ≤ D ) can be expressed as functions of the areas and normal bi-vectors of the (D-1)-faces of D-polytopes. As weak solutions of the simplicity constraints in all dimensional loop quantum gravity, the simple coherent intertwiners are employed to describe semiclassical D-polytopes. New general geometric operators based on D-polytopes are proposed by using the Lasserre’s reconstruction algorithm and the coherent intertwiners. Such kind of geometric operators have expected semiclassical property by the definition. The consistent semiclassical limit with respect to the semiclassical D-polytopes can be obtained for the usual D-volume operator in all dimensional loop quantum gravity by fixing its undetermined regularization factor case by case.

scholarly journals Review on hermiticity of the volume operators in Loop Quantum Gravity

2019 ◽  
Vol 51 (5) ◽  
Author(s):  
S. Ariwahjoedi ◽  
I. Husin ◽  
I. Sebastian ◽  
F. P. Zen
Keyword(s):  
Quantum Gravity ◽  
Loop Quantum Gravity

scholarly journals Quantum gravity: A brief history of ideas and some prospects

2015 ◽  
Vol 24 (11) ◽  
pp. 1530028 ◽  
Author(s):  
Steven Carlip ◽  
Dah-Wei Chiou ◽  
Wei-Tou Ni ◽  
Richard Woodard
Keyword(s):  
Black Hole ◽  
String Theory ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Black Hole Thermodynamics ◽  
History Of Ideas ◽  
Foreseeable Future ◽  
Gravitational Effects ◽  
History Of

We present a bird's-eye survey on the development of fundamental ideas of quantum gravity, placing emphasis on perturbative approaches, string theory, loop quantum gravity (LQG) and black hole thermodynamics. The early ideas at the dawn of quantum gravity as well as the possible observations of quantum gravitational effects in the foreseeable future are also briefly discussed.

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