Numerical Analysis of the Wave Function of the Multidimensional Universe
Hirotaka Ochiai, Katsuhiko Sato
TL;DR
This paper numerically analyzes the wave function of a multidimensional universe under the Hartle-Hawking proposal, finding that universes with both spaces expanding exponentially are most probable.
Contribution
It provides a numerical solution to the Wheeler-de Witt equation for a multidimensional universe without matter fields, exploring its most probable configurations.
Findings
Universes with both spaces expanding exponentially are most probable.
Numerical solutions to the Wheeler-de Witt equation in this context.
Supports the Hartle-Hawking no-boundary proposal in multidimensional models.
Abstract
In the framework of the Hartle-Hawking no-boundary proposal, we investigate quantum creation of the multidimensional universe with the cosmological constant but without matter fields. In this paper we solved the Wheeler-de Witt equation numerically. We find that the universe in which both of the spaces expand exponentially is the most probable in this model.
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