论文标题
宇宙的诞生是由于公制签名的变化而导致的
The birth of the Universe as a result of the change of the metric signature
论文作者
论文摘要
在本文中，我讨论了我们宇宙的诞生可能是从物理连续体与欧几里得签名到洛伦兹时空的量子过渡的结果。安德烈·萨哈罗夫（Andrei D. Sakharov）也表达了类似的想法。在古典层面，乔治·R·埃利斯（George F.本文的目的是在量子重力，惠勒 - 德威特理论的框架以及重力量化的扩展相空间方法中检查对此思想的可能实现。我打算回答以下问题：hartle -hawking Wave功能是否暗示着这种认识？如何在量子重力的扩展相空间方法中实现这个想法，在这种情况下，通过将特殊条件强加于$ g_ {00} $ - 在物理连续体的不同区域的$ g_ {00} $中描述了签名的变化？结论是，可以从形式的数学角度实现这个想法，但它几乎无法理解时空结构和时间本身是如何从永恒的连续体中出现的。
In this paper, I discuss the idea that the birth of our Universe may be a result of a quantum transition from a physical continuum with the Euclidean signature to a Lorentzian spacetime. A similar idea was expressed by Andrei D. Sakharov. At the classical level, the idea was studied by George F. R. Ellis and his collaborators, who explored if solutions to the classical Einstein equation exist which admit a change of metric signature. The present paper aims at examining possible realizations of this idea at the level of quantum gravity, in the framework of the Wheeler - DeWitt theory and in the extended phase space approach to quantization of gravity. I intend to answer the questions: Does the Hartle - Hawking wave function imply such a realization? How can this idea be realized in the extended phase space approach to quantum gravity, where the change of signature is described by imposing special conditions on $g_{00}$-component of the metric in different regions of the physical continuum? The conclusion is that the idea can be realized from a formal mathematical point of view, but it can hardly help in understanding how spacetime structure and time itself appeared from a timeless continuum.
