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Studies in the physical foundations of gravitational theories.

机译：引力理论的物理基础研究。

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摘要

In my dissertation, I have investigated some of the basic principles and foundations of gauge theories of gravity. A gauge theory is a theory that uses gauge potentials to preserve a global symmetry on a local level. I gave special considerations to two main assumptions, namely the hypothesis of locality and the Einstein principle of equivalence. I have also discussed concepts that are global in nature, such as radiation and alternatives to the hypothesis of locality.; The investigation of the hypothesis of locality is of importance, since it is related to very basic measurements, such as the measurement of spatial distances and temporal durations. The basic nongravitational laws of physics refer to ideal inertial observers. On the other hand, actual observers are all (more or less) noninertial, i.e. accelerated, for example laboratories fixed on the rotating Earth; therefore, it is necessary to give a theoretical description of the measurements of accelerated observers.; I have demonstrated that within the confines of classical, i.e. nonquantum physics, there exist basic limitations on length measurement by accelerated observers in Minkowski space-time that follow from the hypothesis of locality. I have found that consistency can be achieved only in a rather limited neighborhood around the observer with linear dimensions that are negligibly small compared to the characteristic acceleration length of the observer.; I have shown that the principle of equivalence allows for general affine connections between neighboring affine tangential spaces. In general, this means that general metric-affine gauge theories of gravity could be viable. Specifically, I have studied teleparallel theories. One particular teleparallel theory is, in fact, equivalent to Einstein's theory of gravity.
机译：在论文中，我研究了重力规理论的一些基本原理和基础。规范理论是一种使用规范电势在局部水平上保持全局对称的理论。我特别考虑了两个主要假设，即局部性假设和爱因斯坦对等原则。我还讨论了本质上是全球性的概念，例如辐射和局部性假设的替代方法。局部性假设的研究非常重要，因为它与非常基本的度量（例如空间距离和时间持续时间的度量）有关。物理学的基本非引力定律是指理想的惯性观测器。另一方面，实际的观察者都是（或多或少）非惯性的，即是加速的，例如固定在旋转地球上的实验室。因此，有必要对加速观测器的测量进行理论描述。我已经证明，在经典的即非量子物理学的范围内，根据局部性假设，在明可夫斯基时空中，加速观察者进行长度测量存在一些基本限制。我发现，只有在观察者周围相当有限的邻域中才能实现一致性，其线性尺寸与观察者的特征加速度长度相比可以忽略不计。我已经证明，等价原理允许相邻仿射切向空间之间的一般仿射连接。通常，这意味着一般的度量仿射尺度的重力理论是可行的。具体来说，我研究了远程平行理论。实际上，一种特定的远平行理论与爱因斯坦的引力理论等效。

著录项

  • 作者

    Muench, Uwe.;

  • 作者单位

    University of Missouri - Columbia.;

  • 授予单位 University of Missouri - Columbia.;
  • 学科 Physics General.
  • 学位 Ph.D.
  • 年度 2002
  • 页码 p.3327
  • 总页数 164
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 物理学;
  • 关键词

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