Effective Descriptions of Quantum Gravity and Cosmology

量子引力和宇宙学的有效描述

• 批准号: 1912168
• 负责人: Martin Bojowald
• 金额: $ 7万
• 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: 2019
• 资助国家: 美国
• 起止时间: 2019-05-15 至 2022-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1912168&HistoricalAwards=false
• 关键词: Effective; Descriptions; Quantum; Gravity; Cosmology

General relativity and quantum mechanics are the two major theories that govern fundamental physics. However, the majority of known mathematical methods are insufficient for a complete analysis of a combination of these theories, or quantum gravity. Fascinating phenomena such as the very first stages of the big bang or the cores of black holes therefore remain out of reach for our current understanding. This project promotes the progress of science by deriving new methods and investigating systems in which both general relativity and quantum mechanics are relevant. Applications to mathematical models of the big bang and black holes will lead to conclusions that are of interest to the public at large. They further our knowledge about the universe, for instance by providing new tests of general relativity for strong gravitational fields. Methods derived in this project can also be used for systems that do not involve general relativity, where they may help to solve technical questions or to communicate results in a new way. The project therefore supports education, for instance in teaching quantum mechanics. This project also supports diversity by including undergraduate and graduate students from underrepresented groups.The objective of this project is to introduce and evaluate new methods for a systematic analysis of physical implications of one set of candidate theories of quantum gravity, based on canonical quantization. Throughout physics a powerful tool to derive potentially observable phenomena is given by effective theories which provide quantum corrections to the classical equations. Such systems can more easily be evaluated, analytically or numerically, than equations for quantum states. They are therefore more direct sources for the discovery of new phenomena. While standard techniques to derive effective equations do not apply to canonical quantum gravity, a general scheme applicable to canonical quantum theories exists (introduced by the PI) and is used in this project to address some of the main problems of quantum gravity. During this funding period emphasis will be put on understanding implications of possible non-associative structures in quantum physics, as well as non-classical space-time effects around black holes.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

广义相对论和量子力学是支配基础物理学的两大理论。然而，大多数已知的数学方法不足以对这些理论的组合或量子引力进行完整的分析。因此，像大爆炸的第一阶段或黑洞的核心这样的快速现象仍然是我们目前理解的范围之外的。该项目通过导出新方法和研究广义相对论和量子力学相关的系统来促进科学的进步。应用于大爆炸和黑洞的数学模型将得出广大公众感兴趣的结论。它们进一步加深了我们对宇宙的认识，例如通过对强引力场的广义相对论提供新的检验。 在这个项目中导出的方法也可以用于不涉及广义相对论的系统，在那里它们可能有助于解决技术问题或以新的方式交流结果。因此，该项目支持教育，例如量子力学教学。该项目还通过包括来自代表性不足群体的本科生和研究生来支持多样性。该项目的目标是介绍和评估新方法，用于系统分析基于正则量子化的一组量子引力候选理论的物理含义。在整个物理学中，一个强有力的工具，以获得潜在的可观察到的现象是由有效的理论，提供量子校正的经典方程。这样的系统可以更容易地评估，分析或数值，比量子态方程。因此，它们是发现新现象的更直接的来源。虽然推导有效方程的标准技术不适用于正则量子引力，但存在适用于正则量子理论的一般方案（由PI介绍），并在本项目中用于解决量子引力的一些主要问题。在此资助期间，重点将放在理解量子物理学中可能的非关联结构的含义，以及黑洞周围的非经典时空效应。该奖项反映了NSF的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。

项目成果

Moments and saturation properties of eigenstates: Oscillator systems

本征态的矩和饱和特性：振荡器系统

• DOI: 10.1103/physrevd.103.126005
• 发表时间: 2021
• 期刊: Physical Review D
• 影响因子: 5
• 作者: Bojowald, Martin;Guglielmon, Jonathan;van Kuppeveld, Martijn
• 通讯作者: van Kuppeveld, Martijn

Cosmic Tangle: Loop Quantum Cosmology and CMB Anomalies

宇宙纠缠：环量子宇宙学和 CMB 异常

• DOI: 10.3390/universe7060186
• 发表时间: 2021
• 期刊: Universe
• 影响因子: 2.9
• 作者: Bojowald, Martin

Quantum Higgs inflation

• DOI: 10.1016/j.physletb.2021.136193
• 发表时间: 2020-11
• 期刊: Physics Letters B
• 影响因子: 4.4
• 作者: M. Bojowald;Suddhasattwa Brahma;Sean Crowe;Ding Ding-Ding;Joseph McCracken

Multi-field inflation from single-field models

• DOI: 10.1088/1475-7516/2021/08/047
• 发表时间: 2020-11
• 期刊: Journal of Cosmology and Astroparticle Physics
• 影响因子: 6.4
• 作者: M. Bojowald;Suddhasattwa Brahma;Sean Crowe;Ding Ding-Ding;Joseph McCracken

From crystal color symmetry to quantum spacetime

从晶体颜色对称性到量子时空

• DOI: 10.1107/s2053273321005234
• 发表时间: 2021
• 期刊: Acta Crystallographica Section A Foundations and Advances
• 作者: Bojowald, Martin;Saxena, Avadh
• 通讯作者: Saxena, Avadh