Lorentzian bouncing quantum cosmology: Bianchi I

Description

Title: Lorentzian bouncing quantum cosmology: Bianchi I

Author: Ding Jia

Abstract: Quantum cosmology for Bianchi I model is drastically different from isotropic models, because the anisotropy modes induce a singular inverse square potential. As a consequence, the contour needs to be bounded by the diverging point for the path integral. Moreover, tunneling/no-boundary type boundary conditions become ineffective since making the initial scale factor vanish would also make the path integral vanish for large lapse. For these reasons we study the Bianchi I path integral for Lorentzian and quasi-Lorentzian contours under general boundary conditions. Perhaps surprisingly, this straightforward quantization of General Relativity governed by the Einstein-Hilbert action already exhibits bouncing effective geometries at the semiclassical level. If all one wants is a bounce, all one needs is dance, with the real time path integral and without ad hoc postulates for new matter, new dynamics, or new variables.

This product contains an article in .pdf format and an accompanying Mathematica notebook in .nb format. The purchase includes all future versions of the article and the notebook.

Version history

• Original versions: Article v1.0; Notebook v1.0