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Loop Quantum Gravity with Cosmological Constant

具有宇宙学常数的环量子引力

基本信息

批准号：
1602867
负责人：
Muxin Han
金额：
$ 13.13万
依托单位：
Florida Atlantic University
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2016
资助国家：
美国
起止时间：
2016-05-15 至 2020-04-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1602867&HistoricalAwards=false
关键词：
Loop Quantum Gravity Cosmological Constant

项目摘要

It is known that Einstein's General Relativity (GR) is theory to describe the gravitational physics. The theory of GR has helped us to make many tremendous progresses in understanding the fundamental aspect of space and time. The theory has been successful in describing the physics of universe, as well as making predictions for various astrophysical phenomena. However it is also well-known that the theory of GR is incomplete. It loses its capability of making predictions in the extremely strong gravitational field, e.g. inside a black hole, or at the very early stage of universe near the big bang. One of the most fundamental open questions in physics is how to complete GR in order to predict physics in an extremely strong gravitational field. The complete theory of gravity that we are searching for is called "Quantum Gravity". The theory of Quantum Gravity should play a crucial role in describing the physics inside black hole, and helping us to understand the early universe near the big bang. Eventually Quantum Gravity will lead us to a revolutionary understanding of space and time. The PI's group will also train students in STEM areas of research.This award support the development of a the theory of known as "Loop Quantum Gravity" (LQG). LQG is an approach toward Quantum Gravity featured with the background independence and non-perturbative quantization of spacetime structure. In developing the theory of LQG, the PI presented a promising new formulation of LQG with a cosmological constant. The new formulation defines finite spinfoam amplitudes of LQG. It also relates LQG to many other branches of physics and mathematics, in particular, it points out a concrete relation between LQG and String/M-Theory. The new formulation of LQG with a cosmological constant is going to be fully explored in this project, hopefully making progress towards some open issues in cosmology. The proposed work aims at (1) completing both the non-perturbative and perturbative formulation of the new model; (2) obtaining new insights and tools for LQG by exploring the relation to String/M-Theory and AdS/CFT; (3) extracting phenomenological predictions on the physics of cosmological constant. This project is expected to be an important step toward a complete formulation of LQG that could be empirically tested.

众所周知，爱因斯坦的广义相对论是描述引力物理的理论。GR理论帮助我们在理解空间和时间的基本方面取得了许多巨大的进步。该理论已经成功地描述了宇宙的物理学，以及对各种天体物理现象的预测。然而，众所周知，广义回归理论也是不完备的。它失去了在极强引力场中(例如在黑洞内)或在宇宙大爆炸附近的非常早期阶段进行预测的能力。物理学中最基本的悬而未决的问题之一是如何完成GR，以便预测极强引力场中的物理。我们正在寻找的完整的引力理论叫做“量子引力”。量子引力理论应该在描述黑洞内部的物理和帮助我们理解大爆炸附近的早期宇宙方面发挥至关重要的作用。最终，量子引力将引领我们对空间和时间的革命性理解。该小组还将在STEM研究领域对学生进行培训。该奖项支持一种被称为“循环量子引力”(LQG)的理论的发展。LQG是量子引力的一种方法，具有时空结构的背景无关性和非微扰量子化的特点。在发展LQG理论的过程中，PI提出了一种有希望的具有宇宙常数的LQG新公式。新配方定义了LQG的有限自旋泡沫幅度。它还将LQG与物理学和数学的许多其他分支联系起来，特别是指出了LQG与弦/M-理论之间的具体关系。具有宇宙学常数的LQG的新公式将在这个项目中得到充分的探索，有望在宇宙学中的一些开放问题上取得进展。这项工作的目的是(1)完成新模型的非微扰和微扰表述；(2)通过探索与弦/M理论和ADS/CFT的关系，为LQG获得新的见解和工具；(3)提取对宇宙常数物理的唯象预测。这个项目预计将是朝着可以进行经验测试的LQG完整配方迈出的重要一步。