Models and Applications of Loop Quantum Gravity

环量子引力模型及应用

• 批准号: 0554771
• 负责人: Martin Bojowald
• 金额: $ 4万
• 依托单位: Pennsylvania State Univ University Park
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-06-01 至 2007-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0554771&HistoricalAwards=false
• 关键词: Models; Applications; Loop; Quantum; Gravity

In order to explore the implications of proposed theories of quantum gravity for space and time, it is often useful to study the theories' effects for special space-times. Symmetric solutions and related models present one of the main examples of this approach, motivated by the wish to extract physical information from (classical or) quantum gravity. While proposed quantum gravity theories are sufficiently complex that how to construct symmetric models is not obvious, several techniques have been developed for one of the current candidates for a quantum theory of gravity, loop quantum gravity. For realistic situations, which are never exactly symmetric, more general constructions containing at least small deviations from symmetry such as spatial inhomogeneities will be developed. This generalization may allow calculation of quantum gravity effects which might be relevant to cosmological observations or to understand properties of black holes.Since quantum theories of gravity are still being developed, any information on the behavior of possible candidates, in particular in physical scenarios, will help to guide the theoretical construction. Quantum gravity, in turn, is widely believed to be essential for the understanding of the universe at a fundamental level. This applies in particular to the two main areas of application of application of the simplified, cosmology and black holes, which also receive wide interest in the general public. Models as developed by this project enable intuitive explanations which make such a broad dissemination possible. In simplifying the complex full theories, suitable models also provide ideal entry points for students or researchers new to the field.

为了探索所提出的量子引力理论对空间和时间的影响，研究这些理论对特殊时空的影响往往是有用的。对称解和相关模型是这种方法的主要例子之一，其动机是希望从（经典或）量子引力中提取物理信息。虽然提出的量子引力理论非常复杂，如何构建对称模型并不明显，但已经开发了几种技术，用于当前量子引力理论的候选者之一，环量子引力。对于从不完全对称的现实情况，将发展出更一般的结构，至少包含与对称性的小偏差，例如空间不均匀性。这一推广可以计算量子引力效应，这可能与宇宙观测或了解黑洞的性质有关。由于量子引力理论仍在发展中，任何关于可能候选者行为的信息，特别是在物理场景中的信息，将有助于指导理论构建。反过来，量子引力被广泛认为是在基本层面上理解宇宙的必要条件。这尤其适用于简化应用的两个主要领域，宇宙学和黑洞，它们也受到广大公众的广泛关注。该项目开发的模型使直观的解释成为可能，从而使如此广泛的传播成为可能。在简化复杂的完整理论的同时，合适的模型也为刚进入该领域的学生或研究人员提供了理想的切入点。