Topolygy in Quantum Cosmology

量子宇宙学中的拓扑学

基本信息

  • 批准号:
    05640333
  • 负责人:
  • 金额:
    $ 0.9万
  • 依托单位:
  • 依托单位国家:
    日本
  • 项目类别:
    Grant-in-Aid for General Scientific Research (C)
  • 财政年份:
    1993
  • 资助国家:
    日本
  • 起止时间:
    1993 至 1995
  • 项目状态:
    已结题

项目摘要

(1)In this research project we have been mainly concerned with the classification of compact homogeneous universes and their dynamics.In our first paper in Journal of Mathematical Mathematics, we have classified almost all the compact homogeneous universes except the three dimensional hyperbolic space, which is still a major topics in mathematics. We have succeeded in identifying the kinematical degrees of freedom as the local curvature degrees of freedom and the Teichmuller parameters. The former is the degrees of freedom of the universal covering space, while the latter are involved in the generators of the discrete sub group of the isometry group which make the quotient space.In the second paper, we have explicitly shown we can extract the dynamical degrees of freedom which are subset of the dynamical degrees of freedom paying special attention to the "extendible isometry group", which are consistent with the time evolution. In the third paper, which we are preparing to publish, we … More have found a systematic way in which the whole dynamics is contained in the spatial metric rather than the parameters of the fundamental region. This enables us the Hamiltonian description of the dynamics of compact homogeneous universes.We believe that our original target is fulfillled. Our work should be regarded as a complete theory of compact homogeneous universe and compared to be the textbook "Homogeneous Universe" by Ryan and Shapley. Main collaborators are Dr.Masayuki Tanimoto and Dr.Tatsuhiko Koike.(2)I have also studied possible smearing of the spacetime singularity by quantum gravity in hope that all classical singularities are quantum mechanically wiped out and the spacetime will end up with causally similar to the Minkowsky spacetime. I proposed a quantum mechanical version of the generalized affine parameter invented by Smidt as a measure of the distance, which is also a reminiscent of the Wilson loop i gauge theories.In (2+1) dimensional black hole case, the quantum generalized affine parameter turns out to be infinite due to quantum fluctuation of spacetime. This can be interpreted as that the distance to the would-be singularity is infinitely far away. In effect, the spacetime looks like the Minkowsky spacetime. Similar thing can be shown in the minisuperspace model of the interior of the Schwartzschild black hole. Less
(1)In在本研究项目中,我们主要研究了紧致齐次宇宙的分类及其动力学,在我们发表于Journal of Mathematical Mathematics的第一篇论文中,我们对几乎所有的紧致齐次宇宙进行了分类,除了三维双曲空间,这仍然是数学中的一个主要课题。我们已经成功地确定了运动自由度的局部曲率自由度和Teichmuller参数。前者是泛覆盖空间的自由度,而后者涉及构成商空间的等距群的离散子群的生成元。在第二篇论文中,我们明确表明我们可以提取动力自由度,它们是动力自由度的子集,特别注意“可扩展等距群”,与时间演化相一致。在我们准备发表的第三篇论文中,我们 ...更多信息 已经找到了一种系统的方法,其中整个动态包含在空间度量中,而不是基本区域的参数中。这使我们能够用哈密顿描述紧致均匀宇宙的动力学,我们相信我们最初的目标已经实现。我们的工作应该被看作是一个完整的紧致均匀宇宙理论,可以与Ryan和Shapley的教科书《均匀宇宙》相媲美。主要合作者是谷本正之博士和小池达彦博士。(2)I他们还研究了量子引力对时空奇点的可能涂抹,希望所有经典奇点都被量子力学抹去,时空最终将与闵可夫斯基时空相似。在(2+1)维黑洞的情况下,由于时空的量子涨落,量子广义仿射参数是无穷大的.这可以解释为到可能的奇点的距离是无限远的。实际上,时空看起来像闵可夫斯基时空。类似的事情也可以在史瓦西黑洞内部的小超空间模型中表现出来。少

项目成果

期刊论文数量(18)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Akio, HOSOYA: "Dynamics of Compact Homogeneous Universes" J.Math.Phys.Vol.35. 4855 (1996)
Akio,HOSOYA:“紧凑均质宇宙的动力学”J.Math.Phys.Vol.35。
  • DOI:
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  • 期刊:
  • 影响因子:
    0
  • 作者:
  • 通讯作者:
Tatsuhiko KOIKE: "Compact Homogeneous Universes" J.Math Phys.35. 4855-4888 (1994)
小池达彦:“紧凑齐质宇宙”J.Math Phys.35。
  • DOI:
  • 发表时间:
  • 期刊:
  • 影响因子:
    0
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  • 通讯作者:
Akio HOSOYA and S-X.Ding: "Topology Change by Tunneling in Semi-Classical Einstein Gravity--time Slice in (2+1)-Dimensional Toy Model" Class.and Quantum Gravity. 10. 695-701 (1993)
Akio HOSOYA 和 S-X.Ding:“半经典爱因斯坦引力中隧道的拓扑变化 - (2 1) 维玩具模型中的时间切片”类和量子引力。
  • DOI:
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  • 期刊:
  • 影响因子:
    0
  • 作者:
  • 通讯作者:
Akio, HOSOYA: "Black Hole Radiation inside Apparent Horizon in Quantum Gravity" Progress.Theoret.Phys.Vol.97. 233 (1997)
Akio,HOSOYA:“量子引力中表观视界内的黑洞辐射”Progress.Theoret.Phys.Vol.97。
  • DOI:
  • 发表时间:
  • 期刊:
  • 影响因子:
    0
  • 作者:
  • 通讯作者:
Akio HOSOYA: "Topology Change in Quantum Gravity" J.J.A.P.9. 78-81 (1993)
Akio Hosoya:“量子引力中的拓扑变化”J.J.A.P.9。
  • DOI:
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  • 影响因子:
    0
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HOSOYA Akio其他文献

HOSOYA Akio的其他文献

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{{ truncateString('HOSOYA Akio', 18)}}的其他基金

Black Hole and Quantum Information
黑洞与量子信息
  • 批准号:
    15540258
  • 财政年份:
    2003
  • 资助金额:
    $ 0.9万
  • 项目类别:
    Grant-in-Aid for Scientific Research (C)
Cosmological Test of Superstring Theories
超弦理论的宇宙学检验
  • 批准号:
    13135208
  • 财政年份:
    2001
  • 资助金额:
    $ 0.9万
  • 项目类别:
    Grant-in-Aid for Scientific Research on Priority Areas
Global Structure of Spacetime and Quantum Mechanics
时空与量子力学的整体结构
  • 批准号:
    12640257
  • 财政年份:
    2000
  • 资助金额:
    $ 0.9万
  • 项目类别:
    Grant-in-Aid for Scientific Research (C)
Topology of the Universe and Global Structure
宇宙拓扑和全球结构
  • 批准号:
    09640341
  • 财政年份:
    1997
  • 资助金额:
    $ 0.9万
  • 项目类别:
    Grant-in-Aid for Scientific Research (C)
Quantum Cosmology and Wormhole
量子宇宙学和虫洞
  • 批准号:
    02640232
  • 财政年份:
    1990
  • 资助金额:
    $ 0.9万
  • 项目类别:
    Grant-in-Aid for General Scientific Research (C)

相似海外基金

Liquid Crystals Gordon Research Conference "Soft Order and Topology Motives in Biomedicine, Nanoscience, Cosmology, Living Matter and Emergent Industries"
液晶戈登研究会议“生物医学、纳米科学、宇宙学、生命物质和新兴产业中的软秩序和拓扑动机”
  • 批准号:
    1923364
  • 财政年份:
    2019
  • 资助金额:
    $ 0.9万
  • 项目类别:
    Standard Grant
Topology and dynamics in classical and quantum cosmology
经典和量子宇宙学中的拓扑和动力学
  • 批准号:
    106100-1994
  • 财政年份:
    1999
  • 资助金额:
    $ 0.9万
  • 项目类别:
    Discovery Grants Program - Individual
Topology and dynamics in classical and quantum cosmology
经典和量子宇宙学中的拓扑和动力学
  • 批准号:
    106100-1994
  • 财政年份:
    1998
  • 资助金额:
    $ 0.9万
  • 项目类别:
    Discovery Grants Program - Individual
Topology and dynamics in classical and quantum cosmology
经典和量子宇宙学中的拓扑和动力学
  • 批准号:
    106100-1994
  • 财政年份:
    1997
  • 资助金额:
    $ 0.9万
  • 项目类别:
    Discovery Grants Program - Individual
Topology and dynamics in classical and quantum cosmology
经典和量子宇宙学中的拓扑和动力学
  • 批准号:
    106100-1994
  • 财政年份:
    1996
  • 资助金额:
    $ 0.9万
  • 项目类别:
    Discovery Grants Program - Individual
Topology and dynamics in classical and quantum cosmology
经典和量子宇宙学中的拓扑和动力学
  • 批准号:
    106100-1994
  • 财政年份:
    1995
  • 资助金额:
    $ 0.9万
  • 项目类别:
    Discovery Grants Program - Individual
Topology and dynamics in classical and quantum cosmology
经典和量子宇宙学中的拓扑和动力学
  • 批准号:
    106100-1994
  • 财政年份:
    1994
  • 资助金额:
    $ 0.9万
  • 项目类别:
    Discovery Grants Program - Individual
Topology and dynamics in classical and quantum cosmology
经典和量子宇宙学中的拓扑和动力学
  • 批准号:
    106100-1991
  • 财政年份:
    1993
  • 资助金额:
    $ 0.9万
  • 项目类别:
    Discovery Grants Program - Individual
Topology and dynamics in classical and quantum cosmology
经典和量子宇宙学中的拓扑和动力学
  • 批准号:
    106100-1991
  • 财政年份:
    1992
  • 资助金额:
    $ 0.9万
  • 项目类别:
    Discovery Grants Program - Individual
Topology and dynamics in classical and quantum cosmology
经典和量子宇宙学中的拓扑和动力学
  • 批准号:
    106100-1991
  • 财政年份:
    1991
  • 资助金额:
    $ 0.9万
  • 项目类别:
    Discovery Grants Program - Individual
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