Theoretical Investigations in Classical and Quantum Gravity

经典和量子引力的理论研究

• 批准号: 1205388
• 负责人: Abhay Ashtekar
• 金额: $ 99万
• 依托单位: Pennsylvania State Univ University Park
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-08-01 至 2015-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1205388&HistoricalAwards=false
• 关键词: Theoretical; Investigations; Classical; Quantum; Gravity

Several fundamental issues in gravitational physics will be investigated. These are related to the physics of the very early universe, unification of Einstein's general relativity and quantum physics, and the final stages of black hole formation and mergers. Although cosmology has witnessed spectacular progress over the past decade, fundamental problems remain. Through a judicious unification of general relativity with quantum physics, over the last five years, our team has provided a detailed theoretical paradigm as to what "really" occurred near the big bang. Detailed consequences of this "physics beyond Einstein", including potentially observable effects, will be analyzed in detail using a combination of analytical and numerical techniques. Black hole formation and collisions are violent events where the full non-linearity general relativity is important. State of the art mathematical tools will be used to describe how these black holes settle down to their final equilibrium.This research will continue to have an impact on a number of disciplines in fundamental science (general relativity, cosmology, and quantum physics), areas of pure and applied mathematics (functional analysis, geometry and computational science) and philosophy of science. As in the past, Ph.D. students and post-doctoral scholars will trained in these broad areas of knowledge. Because the public is fascinated by the fundamental questions that will be addressed, there will also be a significant contribution to outreach through public lectures, articles and reports in semi-popular magazines, electronic media including scientific videos and YouTube clips and an active collaboration with artists interested in representations of the cutting edge scientific ideas.

我们将研究引力物理中的几个基本问题。这些都与非常早期的宇宙物理学，爱因斯坦广义相对论和量子物理学的统一，以及黑洞形成和合并的最后阶段有关。尽管宇宙学在过去十年中取得了令人瞩目的进步，但根本问题仍然存在。通过明智地将广义相对论和量子物理学统一起来，在过去的五年里，我们的团队提供了一个详细的理论范式，说明在大爆炸附近发生了什么。这一“爱因斯坦以外的物理学”的详细后果，包括潜在的可观察到的效应，将结合分析和数值技术进行详细分析。黑洞的形成和碰撞是激烈的事件，在这些事件中，完全非线性广义相对论很重要。这项研究将继续对基础科学(广义相对论、宇宙学和量子物理)、纯数学和应用数学(泛函分析、几何和计算科学)以及科学哲学等多个学科产生影响。像过去一样，博士生和博士后学者将在这些广泛的知识领域进行培训。由于公众对将要讨论的基本问题很感兴趣，还将通过在半受欢迎的杂志、包括科学视频和YouTube剪辑在内的电子媒体上发表公开讲座、文章和报道，以及与对表达尖端科学思想感兴趣的艺术家进行积极合作，为宣传活动作出重大贡献。