scholarly journals Three principles for canonical quantum gravity

2014 ◽  
Vol 46 ◽  
pp. 164-169
Author(s):  
Rodolfo Gambini ◽  
Jorge Pullin
Keyword(s):  
Quantum Gravity ◽  
Canonical Quantum Gravity ◽  
Canonical Quantum

scholarly journals CONSTRAINTS IN QUANTUM GEOMETRODYNAMICS

2004 ◽  
Vol 19 (10) ◽  
pp. 1609-1638 ◽  
Author(s):  
ADRIAN P. GENTLE ◽  
NATHAN D. GEORGE ◽  
ARKADY KHEYFETS ◽  
WARNER A. MILLER
Keyword(s):  
Quantum Gravity ◽  
General Setting ◽  
Square Root ◽  
Dynamical Equations ◽  
Dynamic Content ◽  
Quantization Formalism ◽  
Canonical Quantum Gravity ◽  
First Time ◽  
Quantum Geometrodynamics ◽  
Canonical Quantum

We compare different treatments of the constraints in canonical quantum gravity. The standard approach on the superspace of 3-geometries treats the constraints as the sole carriers of the dynamic content of the theory, thus rendering the traditional dynamical equations obsolete. Quantization of the constraints in both the Dirac and ADM square root Hamiltonian approaches leads to the well known problems of time evolution. These problems of time are of both an interpretational and technical nature. In contrast, the geometrodynamic quantization procedure on the superspace of the true dynamical variables separates the issues of quantization from the enforcement of the constraints. The resulting theory takes into account states that are off-shell with respect to the constraints, and thus avoids the problems of time. We develop, for the first time, the geometrodynamic quantization formalism in a general setting and show that it retains all essential features previously illustrated in the context of homogeneous cosmologies.

ARITHMETIC QUANTUM GRAVITY

2010 ◽  
Vol 19 (14) ◽  
pp. 2305-2310 ◽  
Author(s):  
AXEL KLEINSCHMIDT ◽  
HERMANN NICOLAI
Keyword(s):  
Quantum Gravity ◽  
Algebraic Structure ◽  
Complete Resolution ◽  
Quantum Level ◽  
Cosmological Singularity ◽  
Quantum Billiard ◽  
Symmetry Structure ◽  
Canonical Quantum Gravity ◽  
The Universe ◽  
Canonical Quantum

The arithmetic chaos of classical (super)gravity near a spacelike singularity is elevated to the quantum level via the construction of a cosmological quantum billiard system. Its precise formulation, together with its underlying algebraic structure, allows for a general analysis of the wavefunction of the universe near the singularity. We argue that the extension of these results beyond the billiard approximation may provide a concrete mechanism for emergent space as well as new perspectives on several long-standing issues in canonical quantum gravity. The exponentially growing complexity of the underlying symmetry structure could introduce an element of non-computability that effectively "screens" the cosmological singularity from a complete resolution.

scholarly journals MULTI-PLAQUETTE SOLUTIONS FOR DISCRETIZED ASHTEKAR GRAVITY

1996 ◽  
Vol 11 (05) ◽  
pp. 349-356 ◽  
Author(s):  
KIYOSHI EZAWA
Keyword(s):  
Quantum Gravity ◽  
Heat Kernel ◽  
Gauge Theories ◽  
Hamiltonian Constraint ◽  
Spin Network ◽  
Connected Set ◽  
Network States ◽  
Canonical Quantum Gravity ◽  
Canonical Quantum

A discretized version of canonical quantum gravity proposed by Loll is investigated. After slightly modifying Loll’s discretized Hamiltonian constraint, we encode its action on the spin network states in terms of combinatorial topological manipulations of the lattice loops. Using this topological formulation we find new solutions to the discretized Wheeler-DeWitt equation. These solutions have their support on the connected set of plaquettes. We also show that these solutions are not normalizable with respect to the induced heat-kernel measure on SL(2, C) gauge theories.

scholarly journals Anomaly-free cosmological perturbations in effective canonical quantum gravity

2015 ◽  
Vol 2015 (05) ◽  
pp. 051-051 ◽  
Author(s):  
Aurelien Barrau ◽  
Martin Bojowald ◽  
Gianluca Calcagni ◽  
Julien Grain ◽  
Mikhail Kagan
Keyword(s):  
Quantum Gravity ◽  
Cosmological Perturbations ◽  
Canonical Quantum Gravity ◽  
Canonical Quantum

scholarly journals Mass spectrum and statistical entropy of the BTZ black hole from canonical quantum gravity

2008 ◽  
Vol 77 (6) ◽  
Author(s):  
Cenalo Vaz ◽  
Sashideep Gutti ◽  
Claus Kiefer ◽  
T. P. Singh ◽  
L. C. R. Wijewardhana
Keyword(s):  
Black Hole ◽  
Mass Spectrum ◽  
Quantum Gravity ◽  
Statistical Entropy ◽  
Btz Black Hole ◽  
Canonical Quantum Gravity ◽  
Canonical Quantum
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