论文标题
仪表不变理论的不变方法和第二个时钟效应
Gauge invariant approach to nonmetricity theories and the second clock effect
论文作者
论文摘要
在本文中，我们讨论了旨在证明与众所周知的结果相反的最新尝试，第二个时钟效应（SCE）不在广义的Weyl空间（具有任意非赞成度的空间）中进行，在这里表示为$ W_4 $空间。这些尝试包括重力理论，以及对称的电触电理论（STTS）。我们解决这个问题的方法是基于采用Weyl仪表对称性（WGS），这是Weyl几何基本定律的明显对称性。我们将始终如一地适应数学和几何数量和概念，以使所得的几何框架是规范不变的。这个问题对于非赞成理论的命运具有特殊的相关性，包括一类在宇宙框架中应用的STT类。正如我们将表明的那样，如果意识到WGS是通用Weyl空间的明显对称性，并确定具有相应的假设矢量和张力量的物理矢量和张量，则居住在$ W_4 $中的相应的量和张量，除非是sce，否则非对象的理论也不是sce，除非sce，否则我们是自由的。
In this paper we discuss on recent attempts aimed at demonstrating that, contrary to well-known results, the second clock effect (SCE) does not take place in generalized Weyl spaces -- spaces with arbitrary nonmetricity -- denoted here as $W_4$ spaces. These attempts include Weyl gauge theories of gravity, as well as the symmetric teleparallel theories (STTs). Our approach to this issue is based on the adoption of Weyl gauge symmetry (WGS) which is a manifest symmetry of the basic laws of Weyl geometry. We shall consistently adapt mathematical and geometrical quantities and concepts so that the resulting geometrical framework be gauge invariant. This issue is of special relevance for the fate of nonmetricity theories, including a class of the STTs which is being intensively applied in the cosmological framework. As we shall show, if realize that WGS is a manifest symmetry of generalized Weyl spaces $W_4$, and identify physical vectors and tensors with corresponding hypothetical vectors and tensors living in $W_4$, neither the Weyl gauge theories nor the nonmetricity theories are free of the SCE, unless Weyl integrable geometry (WIG) spaces are considered.
