Theoretical Investigations in Classical and Quantum Gravity

经典和量子引力的理论研究

• 批准号: 0854743
• 负责人: Abhay Ashtekar
• 金额: $ 107.6万
• 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: 2009
• 资助国家: 美国
• 起止时间: 2009-08-01 至 2012-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0854743&HistoricalAwards=false
• 关键词: Theoretical; Investigations; Classical; Quantum; Gravity

Fundamental conceptual and mathematical issues in classical and quantum gravity will be investigated to enrich our understanding of Einstein's general relativity and to go beyond. Specifically, the physics of the early universe will be explored, the quantum nature of the Big Bang will be analyzed, and thermodynamic and quantum properties of black holes will be studied. Other issues at the interface of gravitational physics and geometry will also be investigated, including the fully non-linear regime of general relativity near singularities at which matter density and curvature become infinite, and classical physics comes to an end.Because the emphasis is on issues at the forefront of gravitational physics, graduate students and post-docs will continue to receive broad training that will have a long-term impact on their careers. Results of this work will enrich other disciplines by: i) providing novel inputs to cosmology; ii) making a new advance in non-commutative geometry; iii) developing the area of computational quantum cosmology; and, iv) disseminating frontier scientific research to the broader public.

在经典和量子引力的基本概念和数学问题将进行调查，以丰富我们对爱因斯坦的广义相对论的理解和超越。具体而言，将探索早期宇宙的物理学，分析大爆炸的量子性质，并研究黑洞的热力学和量子性质。在引力物理学和几何学的界面上的其他问题也将被研究，包括广义相对论在奇点附近的完全非线性状态，在奇点处物质密度和曲率变得无限大，经典物理学结束。研究生和博士后将继续接受广泛的培训，这将对他们的职业生涯产生长期影响。这项工作的结果将丰富其他学科：i）为宇宙学提供新的投入; ii）在非交换几何学方面取得新的进展; iii）发展计算量子宇宙学领域; iv）向更广泛的公众传播前沿科学研究。