Time in Quantum Gravity
Abstract
The WheelerDeWitt equation in quantum gravity is timeless in character. In order to discuss quantum to classical transition of the universe, one uses a time prescription in quantum gravity to obtain a time contained description starting from WheelerDeWitt equation and WKB ansatz for the WD wavefunction. The approach has some drawbacks. In this work, we obtain the timecontained SchrödingerWheelerDeWitt equation without using the WD equation and the WKB ansatz for the wavefunction. We further show that a Gaussian ansatz for SWD wavefunction is consistent with the HartleHawking or wormhole dominance proposal boundary condition. We thus find an answer to the small scale boundary conditions.
 Publication:

International Journal of Modern Physics D
 Pub Date:
 2001
 DOI:
 10.1142/S0218271801001384
 arXiv:
 arXiv:grqc/9906010
 Bibcode:
 2001IJMPD..10..595B
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 12 Pages, LaTeX, no figure