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Conference Paper

Loop Quantum Cosmology and Boundary Proposals

MPS-Authors

Bojowald,  Martin
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Bojowald, M., & Vandersloot, K. (2006). Loop Quantum Cosmology and Boundary Proposals. In M. Novello, S. Perez-Bergliaffa, & R. Ruffini (Eds.), Proceedings of Tenth Marcel Grossmann Meeting on General Relativity (pp. 1089-1103). Singapore: World Scientific.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5F4C-E
Abstract
For many years, the most active area of quantum cosmology has been the issue of choosing boundary conditions for the wave function of a universe. Recently, loop quantum cosmology, which is obtained from loop quantum gravity, has shed new light on this question. In this case, boundary conditions are not chosen by hand with some particular physical intuition in mind, but they are part of the dynamical law. It is then natural to ask if there are any relations between these boundary conditions and the ones provided before. After discussing the technical foundation of loop quantum cosmology which leads to crucial ifferences to the Wheeler–DeWitt quantization, we compare the dynamical initial conditions of loop quantum cosmology with the tunneling and the no-boundary proposal and explain why they are closer to the no-boundary condition. We end with a discussion of recent developments and several open problems of loop quantum cosmology.