Theoretical Investigations in Classical and Quantum Gravity

经典和量子引力的理论研究

基本信息

  • 批准号:
    0090091
  • 负责人:
  • 金额:
    $ 90.45万
  • 依托单位:
  • 依托单位国家:
    美国
  • 项目类别:
    Continuing Grant
  • 财政年份:
    2001
  • 资助国家:
    美国
  • 起止时间:
    2001-01-01 至 2005-12-31
  • 项目状态:
    已结题

项目摘要

A number of projects in theoretical gravitational physics will becompleted. In the first set, issues pertaining to black holes will beanalyzed using a new paradigm, introduced recently by Ashtekar'sgroup. In particular, physical information will be extracted fromnumerical simulations of black hole mergers in regions where gravityis so strong that effects of Einstein's general relativity dominate.In the second set, mathematical issues pertaining to the structure andsolutions of Einstein's general relativity will be resolved using``Twistor theory'' introduced by Roger Penrose and developed by hisresearch group. The third set contains a number of projects pertainingto quantum gravity, the theory that will unify general relativity withquantum physics. Suitable approximation methods will be developed bythe research groups of Ashtekar and Pullin to better understand thestructure of a quantum gravity theory, that is being developed by thePIs and others, and to make physical predictions which could be testedin the near future.These projects interlink several fields: general relativity,computational physics, astrophysics, quantum theory and severalbranches of geometry. For example, the first set of projects is basedon Einstein's equations of general relativity but the accurateestimates of the mass and spin of the final black hole and of theenergy radiated in the process, obtained from them, will have impacton astrophysics in general and to gravitational wave physics inparticular. The second set will use novel techniques from algebraicgeometry to solve Einstein's equations. Unification of generalrelativity and quantum physics is perhaps the most outstanding openproblem in fundamental physics today. The proposed projects in thethird set combine sophisticated techniques from modern mathematics andtheoretical physics to probe the nature of space-time geometry at thesmallest scales conceivable today. Through his general relativitytheory, Einstein proposed that geometry is a physical entity. Some ofour projects are aimed at elevating Einstein's vision to the quantumworld showing, in particular, that matter, radiation and geometry canbe converted in to one another through quantum processes involvinggravity. Other projects will use astronomical observations of gammaray bursts from ongoing NASA missions to directly probe theramifications of these novel quantum effects. This will be among thefirst systematic efforts at confronting the rather abstract quantumgravity theory with concrete experiments.
理论引力物理中的一些项目将成为现实。在第一组中,与黑洞有关的问题将使用阿什特卡小组最近引入的一种新范式进行分析。特别是,物理信息将从黑洞合并的数值模拟中提取,这些区域的引力如此强大,以至于爱因斯坦的广义相对论的影响占主导地位。在第二组中,与爱因斯坦广义相对论的结构和解有关的数学问题将使用罗杰·彭罗斯介绍并由他的研究小组开发的“龙卷风理论”来解决。第三套包含一些与量子引力有关的项目,这是一种将广义相对论与量子物理学相统一的理论。阿什特卡和普林的研究小组将开发合适的近似方法,以更好地理解由PIS和其他人正在开发的量子引力理论的结构,并做出可能在不久的将来进行测试的物理预测。这些项目将几个领域联系在一起:广义相对论、计算物理、天体物理、量子理论和几何的几个分支。例如,第一组项目是基于爱因斯坦的广义相对论方程,但对最终黑洞的质量和自转以及从它们获得的辐射能量的准确估计,将对一般天体物理学,特别是引力波物理学产生影响。第二组将使用代数几何中的新技术来求解爱因斯坦的方程。广义相对论和量子物理的统一可能是当今基础物理学中最突出的公开问题。第三组中提出的项目结合了现代数学和理论物理的尖端技术,在当今可以想象到的最小尺度上探索时空几何的本质。通过他的广义相对论,爱因斯坦提出几何是一个物理实体。我们的一些项目旨在将爱因斯坦的愿景提升到量子世界,特别是表明,物质、辐射和几何可以通过涉及引力的量子过程相互转化。其他项目将使用正在进行的NASA任务中对伽马雷爆发的天文观测,直接探测这些新的量子效应的热化。这将是用具体实验来对抗相当抽象的量子引力理论的第一批系统努力之一。

项目成果

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Abhay Ashtekar其他文献

Response to Bryan Roberts: A new perspective on <em>T</em> violation
  • DOI:
    10.1016/j.shpsb.2014.07.001
  • 发表时间:
    2015-11-01
  • 期刊:
  • 影响因子:
  • 作者:
    Abhay Ashtekar
  • 通讯作者:
    Abhay Ashtekar
The last 50 years of general relativity and gravitation: from GR3 to GR20 Warsaw conferences
  • DOI:
    10.1007/s10714-014-1706-2
  • 发表时间:
    2014-04-12
  • 期刊:
  • 影响因子:
    2.800
  • 作者:
    Abhay Ashtekar
  • 通讯作者:
    Abhay Ashtekar
Editorial: Golden Oldies criteria and procedures
  • DOI:
    10.1007/s10714-017-2201-3
  • 发表时间:
    2017-02-07
  • 期刊:
  • 影响因子:
    2.800
  • 作者:
    Abhay Ashtekar;Roy Maartens;Malcolm A. H. MacCallum
  • 通讯作者:
    Malcolm A. H. MacCallum
General Relativity and Gravitation introduces Consecutive Article Publishing
  • DOI:
    10.1007/s10714-013-1612-z
  • 发表时间:
    2013-12-10
  • 期刊:
  • 影响因子:
    2.800
  • 作者:
    Ramon Khanna;Abhay Ashtekar;Roy Maartens
  • 通讯作者:
    Roy Maartens
Gravitational interaction and spontaneous breaking of symmetries

Abhay Ashtekar的其他文献

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{{ truncateString('Abhay Ashtekar', 18)}}的其他基金

Theoretical Investigations in Classical and Quantum Gravity
经典和量子引力的理论研究
  • 批准号:
    1806356
  • 财政年份:
    2018
  • 资助金额:
    $ 90.45万
  • 项目类别:
    Continuing Grant
Theoretical Investigations in Classical and Quantum Gravity
经典和量子引力的理论研究
  • 批准号:
    1505411
  • 财政年份:
    2015
  • 资助金额:
    $ 90.45万
  • 项目类别:
    Continuing Grant
Theoretical Investigations in Classical and Quantum Gravity
经典和量子引力的理论研究
  • 批准号:
    1205388
  • 财政年份:
    2012
  • 资助金额:
    $ 90.45万
  • 项目类别:
    Continuing Grant
Theoretical Investigations in Classical and Quantum Gravity
经典和量子引力的理论研究
  • 批准号:
    0854743
  • 财政年份:
    2009
  • 资助金额:
    $ 90.45万
  • 项目类别:
    Continuing Grant
Theoretical Investigations in Classical and Quantum Gravity
经典和量子引力的理论研究
  • 批准号:
    0456913
  • 财政年份:
    2006
  • 资助金额:
    $ 90.45万
  • 项目类别:
    Continuing Grant
Spin Foam Models for Quantum Gravity
量子引力的旋转泡沫模型
  • 批准号:
    0354932
  • 财政年份:
    2004
  • 资助金额:
    $ 90.45万
  • 项目类别:
    Continuing Grant
Travel Support for the Conference "Gravitation: A Decennial Perspective"
“万有引力:十年一次的视角”会议的差旅支持
  • 批准号:
    0331618
  • 财政年份:
    2003
  • 资助金额:
    $ 90.45万
  • 项目类别:
    Standard Grant
U.S.-Mexico Cooperative Research: Quantum Gravity, Supersymmetry and Black Holes
美国-墨西哥合作研究:量子引力、超对称性和黑洞
  • 批准号:
    9722514
  • 财政年份:
    1997
  • 资助金额:
    $ 90.45万
  • 项目类别:
    Standard Grant
Theoretical Investigations in Classical and Quantum Gravity
经典和量子引力的理论研究
  • 批准号:
    9514240
  • 财政年份:
    1996
  • 资助金额:
    $ 90.45万
  • 项目类别:
    Continuing Grant
US-Indo Binational Workshop on Classical and Quantam GravityPune, Dec. 13-19, 1995, Award in US and Indian Currency.
美国-印度古典和量子重力研讨会,1995 年 12 月 13 日至 19 日,美国和印度货币奖。
  • 批准号:
    9513843
  • 财政年份:
    1995
  • 资助金额:
    $ 90.45万
  • 项目类别:
    Standard Grant

相似海外基金

Theoretical Investigations in Classical and Quantum Gravity
经典和量子引力的理论研究
  • 批准号:
    1806356
  • 财政年份:
    2018
  • 资助金额:
    $ 90.45万
  • 项目类别:
    Continuing Grant
Theoretical Investigations in Classical and Quantum Gravity
经典和量子引力的理论研究
  • 批准号:
    1505411
  • 财政年份:
    2015
  • 资助金额:
    $ 90.45万
  • 项目类别:
    Continuing Grant
Theoretical Investigations in Classical and Quantum Gravity
经典和量子引力的理论研究
  • 批准号:
    1205388
  • 财政年份:
    2012
  • 资助金额:
    $ 90.45万
  • 项目类别:
    Continuing Grant
International Research Fellowship Program: Theoretical Investigations of Gravitational Systems at the Interface of the Classical and the Quantum
国际研究奖学金计划:经典与量子界面引力系统的理论研究
  • 批准号:
    0853116
  • 财政年份:
    2009
  • 资助金额:
    $ 90.45万
  • 项目类别:
    Fellowship Award
Theoretical Investigations in Classical and Quantum Gravity
经典和量子引力的理论研究
  • 批准号:
    0854743
  • 财政年份:
    2009
  • 资助金额:
    $ 90.45万
  • 项目类别:
    Continuing Grant
Theoretical Investigations in Classical and Quantum Gravity
经典和量子引力的理论研究
  • 批准号:
    0456913
  • 财政年份:
    2006
  • 资助金额:
    $ 90.45万
  • 项目类别:
    Continuing Grant
Theoretical and Numerical investigations in classical and quantum gravity
经典和量子引力的理论和数值研究
  • 批准号:
    0554793
  • 财政年份:
    2006
  • 资助金额:
    $ 90.45万
  • 项目类别:
    Standard Grant
Theoretical Investigations in Classical and Quantum Gravity
经典和量子引力的理论研究
  • 批准号:
    9514240
  • 财政年份:
    1996
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    $ 90.45万
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    Continuing Grant
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经典和量子引力的理论研究
  • 批准号:
    9423950
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    1995
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    $ 90.45万
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Theoretical Investigations in Classical and Quantum Gravity
经典和量子引力的理论研究
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    9396246
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    1993
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    $ 90.45万
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    Continuing Grant
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