Inconsistencies of the New No-Boundary Proposal
Inconsistencies of the New No-Boundary Proposal
复制标题
新的无边界提案的不一致之处
DOI：
10.3390/universe4100100
复制
发表时间：
2018
期刊：
影响因子：
2.9
通讯作者：
N. Turok
中科院分区：
文献类型：
--
作者：
Job Leon Feldbrugge;J. Lehners;N. Turok
在之前的工作中，我们已经证明，爱因斯坦引力中真实的洛伦兹四几何的路径积分在易于理解的物理情况下产生了合理的结果，但当施加哈特尔和霍金提出的“无边界”条件时，会导致不受控制的波动。为了规避我们的结果，人们寻求了引力路径积分的新定义，其中包括对一类复杂的四几何形状的具体选择。 Diaz Dorronsoro 等人在他们的最新提案中。主张将失效整合到包围原点的复杂圆形轮廓上。在这篇文章中，我们表明，就像他们之前的提议一样，这会导致数学和物理的不一致，因此不能被视为量子宇宙学的基础。我们还对 Vilenkin 和 Yamada 最近对“隧道”提案的修改进行了评论，以避免同样的问题。我们证明，它会导致强耦合状态下微扰理论的崩溃。
In previous works, we have demonstrated that the path integral for real, Lorentzian four-geometries in Einstein gravity yields sensible results in well-understood physical situations, but leads to uncontrolled fluctuations when the “no boundary” condition proposed by Hartle and Hawking is imposed. In order to circumvent our result, new definitions for the gravitational path integral have been sought, involving specific choices for a class of complex four-geometries to be included. In their latest proposal, Diaz Dorronsoro et al. advocate for integrating the lapse over a complex circular contour enclosing the origin. In this note, we show that, like their earlier proposal, this leads to mathematical and physical inconsistencies and thus cannot be regarded as a basis for quantum cosmology. We also comment on Vilenkin and Yamada’s recent modification of the “tunneling" proposal, made in order to avoid the same problems. We show that it leads to the breakdown of perturbation theory in a strong coupling regime.