The big trip and Wheeler-DeWitt equation |
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| Authors: | Artyom V Yurov Artyom V Astashenok Valerian A Yurov |
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| Institution: | 1. Theoretical Physics Department, Baltic Federal University of I. Kant, Al. Nevsky St. 14, Kaliningrad, 236041, Russia
2. Department of Mathematics, University of Missouri, 202 Mathematical Sciences Bldg, Columbia, MO, 65211, USA
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| Abstract: | Of all the possible ways to describe the behavior of the universe that has undergone a big trip the Wheeler-DeWitt equation should be the most accurate—provided, of course, that we employ the correct formulation. In this article we start by discussing the standard formulation introduced by González-Díaz and Jimenez-Madrid, and show that it allows for a simple yet efficient method of the solution’s generation, which is based on the Moutard transformation. Next, by shedding the unnecessary restrictions, imposed on aforementioned standard formulation we introduce a more general form of the Wheeler-DeWitt equation. One immediate prediction of this new formula is that for the universe the probability to emerge right after the big trip in a state with w=w 0 will be maximal if and only if w 0=−1/3. |
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