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arXiv · gr-qc/9906010

Time in Quantum Gravity

S. Biswas·A. Shaw·B. Modak
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Abstract

The Wheeler-DeWitt 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 Wheeler-DeWitt equation and WKB ansatz for the WD wavefunction. The approach has some drawbacks. In this work, we obtain the time-contained Schroedinger-Wheeler-DeWitt 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 Hartle-Hawking or wormhole dominance proposal boundary condition. We thus find an answer to the small scale boundary conditions.

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S. Biswas, A. Shaw, B. Modak. 1999-06-03. Time in Quantum Gravity. https://doi.org/10.1142/s0218271801001384

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