scholarly journals Covariance in models of loop quantum gravity: Spherical symmetry

2015 ◽  
Vol 92 (4) ◽  
Author(s):  
Martin Bojowald ◽  
Suddhasattwa Brahma ◽  
Juan D. Reyes
2015 ◽  
Vol 747 ◽  
pp. 18-21 ◽  
Author(s):  
N. Bodendorfer ◽  
J. Lewandowski ◽  
J. Świeżewski

2008 ◽  
Vol 86 (4) ◽  
pp. 583-586
Author(s):  
V Husain

An ingredient in recent discussions of curvature singularity avoidance in quantum gravity is the “inverse scale factor” operator in quantum cosmology, and its generalizations to field theoretic models such as scalar-field collapse in spherical symmetry. I describe a general lattice origin of this idea, and show how it applies to the Coulomb singularity in quantum mechanics. The example demonstrates that a discretized Schrodinger equation is computationally equivalent to the so-called polymer quantization derived loop quantum gravity. This applies also to lattice discretized forms of the Wheeler–deWitt equation.PACS Nos.: 04.60.–m, 04.60.Ds, 04.70.Dy


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

2015 ◽  
Vol 24 (11) ◽  
pp. 1530028 ◽  
Author(s):  
Steven Carlip ◽  
Dah-Wei Chiou ◽  
Wei-Tou Ni ◽  
Richard Woodard

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.


2009 ◽  
Vol 807 (3) ◽  
pp. 591-624 ◽  
Author(s):  
Eugenio Bianchi

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