Motion in Quantum Gravity
arXiv:1003.6019 · doi:10.1007/978-90-481-3015-3_19
Abstract
We tackle the question of motion in Quantum Gravity: what does motion mean at the Planck scale? Although we are still far from a complete answer we consider here a toy model in which the problem can be formulated and resolved precisely. The setting of the toy model is three dimensional Euclidean gravity. Before studying the model in detail, we argue that Loop Quantum Gravity may provide a very useful approach when discussing the question of motion in Quantum Gravity.
30 pages, to appear in the book "Mass and Motion in General Relativity", proceedings of the C.N.R.S. School in Orleans, France, eds. L. Blanchet, A. Spallicci and B. Whiting
References in corpus (12)
- The loop-quantum-gravity vertex-amplitude
- Uniqueness of diffeomorphism invariant states on holonomy-flux algebras
- 3d Quantum Gravity and Effective Non-Commutative Quantum Field Theory
- Loop Quantum Gravity: An Inside View
- Quantum gravity with a positive cosmological constant
- On the regularization ambiguities in loop quantum gravity
- Quantum Spin Dynamics VIII. The Master Constraint
- Three Dimensional Quantum Geometry and Deformed Poincare Symmetry
- A Note On The Chern-Simons And Kodama Wavefunctions
- A model for the motion of a particle in a quantum background
- Three Dimensional Loop Quantum Gravity: Particles and the Quantum Double
- Three dimensional Loop Quantum Gravity: towards a self-gravitating Quantum Field Theory