Probability of boundary conditions in quantum cosmology

Yasusada Nambu, Hiroshi Suenobu

Research output: Contribution to journalConference articlepeer-review

1 Citation (Scopus)

Abstract

One of the main interest in quantum cosmology is to determine boundary conditions for the wave function of the universe which can predict observational data of our universe. For this purpose, we solve the Wheeler-DeWitt equation for a closed universe with a scalar field numerically and evaluate probabilities for boundary conditions of the wave function of the universe. To impose boundary conditions of the wave function, we use exact solutions of the Wheeler-DeWitt equation with a constant scalar field potential. We specify the exact solutions by introducing two real parameters to discriminate boundary conditions, and obtain the probability for these parameters under the requirement of sufficient e-foldings of the inflation. The probability distribution of boundary conditions prefers the tunneling boundary condition to the no-boundary boundary condition. Furthermore, for large values of a model parameter related to the inflaton mass and the cosmological constant, the probability of boundary conditions selects an unique boundary condition different from the tunneling type.

Original languageEnglish
Article number012025
JournalJournal of Physics: Conference Series
Volume880
Issue number1
DOIs
Publication statusPublished - Aug 21 2017
Externally publishedYes
Event8th International Workshop on Decoherence, Information, Complexity and Entropy, DICE 2016 - Castiglioncello, Italy
Duration: Sept 12 2016Sept 16 2016

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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