标题： 无边界波函数中的NUTs、螺钉和Stokes现象 显示英文标题

标题： NUTs, Bolts and Stokes Phenomena in the No-Boundary Wave Function

摘要： 在本文中，我们重新审视并扩展了对最小超空间模型中无边界波函数的分析，其中宇宙由双轴Bianchi IX度规描述。 作为物质内容，我们简单地假设一个正的宇宙学常数。 我们发现，在宇宙空间部分的大拉伸参数下发生两次Stokes现象。 这些Stokes现象消除了潜在的主要Taub-Bolt- de Sitter鞍点几何结构，对模型的一致性至关重要。 它们还表明，在某些拉伸水平上会发生相变，此时NUT和Bolt鞍点的主导性发生了交换。 显示英文摘要

摘要： In this note, we revisit and extend the analysis of the no-boundary wave function for the minisuperspace model in which the universe is described by a biaxial Bianchi IX metric. As matter content, we simply assume a positive cosmological constant. We find that two Stokes phenomena occur, at large squashing parameters of the spatial section of the universe. These Stokes phenomena eliminate potentially dominant Taub-Bolt-de Sitter saddle point geometries and are crucial for the consistency of the model. They also imply that phase transitions occur at certain levels of squashing, where NUT and Bolt saddle points exchange dominance.