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arXiv 1104.5290gr-qchep-th
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二维宇宙的诞生与成长

Birth and Growth of Two-dimensional Universe

Tetsuyuki Yukawa

摘要:

基于单纯量子引力,将二维宇宙演化看作时空格点的马尔可夫过程,导出了二维宇宙演化的主方程。对数值模拟中发现的膨胀、伸长和塌缩三种典型相及其边界进行了解析研究。对于每个相和边界,得到了演化方程的平均面积、边界长度和涨落相关等统计量的渐近解,在引入物理时间后,讨论了每个相的宇宙学意义。

英文摘要:

A master equation for the evolution of two-dimensional universe is derived based on the simplicial quantum gravity regarding the evolution as the Markov process of a space-time lattice. Three typical phases, expanding, elongating and collapsing phase, which have been found in the numerical simulation, are studied together with their boundaries, analytically. Asymptotic solutions of the evolution equation for statistical quantities, such as averaged area, boundary length, and correlation of fluctuations, are obtained for each phase and boundary.After introducing a physical time the cosmological significance of each phase is discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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