Quantum Cosmology and Wormhole

量子宇宙学和虫洞

• 批准号: 02640232
• 负责人: HOSOYA Akio
• 金额: $ 1.15万
• 依托单位: Tokyo Institute of Technology
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1990
• 资助国家: 日本
• 起止时间: 1990 至 1992
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-02640232/
• 关键词: Quantum cosmology; Topology change; Tunnel effect; Hyperbolic geometry; compact universe; Baby universe; 三次元重力; トポロジ-; ワ-ムホ-ル; コンパクト化

(1) (2+1) dimensional quantum gravity1-1 It is shown that the trajectory of a torus universe is a semi-circle in the moduli space. The operator ordering ambiguity is resolved by imposing the modular invariance in the Wheeler-DeWitt equation. The wave function turns out to be a Maass function.1-2 In the Einstein gravity with a negative cosmological constant, we have explicitly constructed a topology changing process in the WKB approximation. The wave function is shown to be localized in the hyperbolic geometry. The particles as defects are also created.(2) We have completely classified topology (except H^3) and dynamical degrees of freedom of compact locally homogeneous universes.(3) It is shown that the effect of baby universes is unfavorable to the dimensional reduction a la Kaluza-Klein.

(1)（2+1）维量子引力1 -1证明了环面宇宙的轨道是模空间中的半圆。通过在Wheeler-DeWitt方程中引入模不变性，解决了算子排序模糊问题。1 -2在具有负宇宙常数的爱因斯坦引力中，我们在WKB近似下明确地构造了一个拓扑变化过程。波函数被证明是本地化的双曲几何。作为缺陷的颗粒也被产生。(2)我们对紧致局部齐次宇宙的拓扑（H^3除外）和动力学自由度进行了完全分类。(3)结果表明，婴儿宇宙的影响不利于Kaluza-Klein降维.

项目成果

S. NAKAMURA, A. HOSOYA: "Density Fluctuation in Extended Inflationary Universe" Prog. Theor. Phys.87 [2]. 401-407 (1992)

S. NAKAMURA, A. HOSOYA：“扩展膨胀宇宙中的密度波动”Prog。

Akio HOSOYA: "(2+1)ーDimensional Pare Gravity for an Arbitrary Closed Initial Surface" Classical and Quantum.Gravity. 7. 163-175 (1990)

Akio Hosoya：“(2+1)ー任意闭合初始表面的维平引力”经典和量子重力。7. 163-175 (1990)

Hiromi Suzuki: "Dynami:∽ of FalseーVacuum Bubbles in (2+1)ーDimensional Gravity" Progress of Theor.Phys.86. 411-418 (1991)

铃木弘美：“假动态：∽－(2+1)中的真空气泡－维引力”理论进展.Phys.86 (1991)。

Akio HOSOYA: "Abelian Gauge Theory in Topologically Nonーtrival Space" Modern Physics Letteco A4. 26. 2539-2547 (1989)

Akio Hosoya：“拓扑非平凡空间中的阿贝尔规范理论”现代物理学 Letteco A4 26. 2539-2547 (1989)

Y.OHKUWA: "Can the Dimensional Reduction be Explained by Baby Universes?" Progress of Theoretical Physics. 84. 164-171 (1990)

Y.OHKUWA：“维度缩减可以用婴儿宇宙来解释吗？”