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Nontrivial small-scale structure of spacetime and consequences for particle propagation

非平凡的小尺度时空结构及其对粒子传播的影响

基本信息

批准号：
159859086
负责人：
Professor Dr. Frans R. Klinkhamer
金额：
--
依托单位：
Institut für Theoretische Physik (ITP)
依托单位国家：
德国
项目类别：
Research Grants
财政年份：
2010
资助国家：
德国
起止时间：
2009-12-31 至 2013-12-31
项目状态：
已结题

来源：
https://gepris.dfg.de/gepris/projekt/159859086?language=en
关键词：
Nontrivial small scale structure spacetime

项目摘要

Lorentz invariance is the cornerstone of our understanding of subatomic physics. At the same time, we know that the present theory is incomplete and that quantum gravity will change the picture dramatically, perhaps including a breakdown of Lorentz invariance at very small length scales. But there is, at present, no viable theory of quantum gravity which would predict or rule out such a breakdown. Thus, if one could experimentally detect or rule out Lorentz invariance breaking at the Planck energy scale, it would vastly enhance our understanding of space and time and aid in the search of the correct theory. Observatories such as HESS or Auger detect ultrahigh-energy particles which can probe Planck-scale physics. In fact, certain special forms of Lorentz-invariance breaking have already been ruled out by these observations. However, results such as these require a theoretical framework. Only if the theoretical framework is not purely phenomenological but based on a model of (quantum) spacetime, can the observations tell us something concrete about the structure of spacetime at the smallest length scales. The goal of the present project is to build such a framework. We want to develop simple and reliable models of spacetime at small length scales, derive their phenomenological consequences, and, by comparison with observations, learn something about the nature of space and time. To do this, we will develop theories of spacetime defects and also bring new methods to bear on loop quantum gravity.

洛伦兹不变性是我们理解亚原子物理学的基石。与此同时，我们知道目前的理论是不完整的，量子引力将极大地改变这一图景，也许包括在非常小的长度尺度上洛伦兹不变性的破坏。但是，目前还没有可行的量子引力理论能够预测或排除这种崩溃。因此，如果人们能够通过实验检测或排除洛伦兹不变性在普朗克能量尺度上的破坏，它将极大地增强我们对空间和时间的理解，并有助于寻找正确的理论。像HESS或俄歇这样的天文台可以探测到可以探测普朗克尺度物理的超高能粒子。事实上，某些特殊形式的洛伦兹不变性破坏已经被这些观察排除了。然而，这样的结果需要一个理论框架。只有当理论框架不是纯粹的现象学，而是基于（量子）时空模型时，观测才能告诉我们一些关于最小长度尺度下时空结构的具体信息。本项目的目标就是构建这样一个框架。我们希望在小尺度上建立简单可靠的时空模型，推导出它们的现象学结果，并通过与观测结果的比较，了解空间和时间的本质。为此，我们将发展时空缺陷理论，并带来新的方法来承担环量子引力。