arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0806.0397gr-qc
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自组织的德西特宇宙

The Self-Organized de Sitter Universe

J. Ambjorn, J. Jurkiewicz, R. Loll

摘要:

我们提出了一个量子引力理论,它将量子理论表述为非微扰的路径积分,其中每个时空历史都以相应因果几何的指数化爱因斯坦-希尔伯特作用量给出的权重出现。路径积分是同态不变的(只出现几何)和背景无关的。该理论可以通过计算机模拟来研究,这表明德西特宇宙在大尺度上出现。这种涌现是一种熵的、自组织的性质,爱因斯坦-希尔伯特作用量的权重起着次要的作用。此外,这个德西特宇宙周围的量子涨落可以定量研究,并且在接近普朗克尺度之前保持很小。描述普朗克尺度引力的结构让人想起凝聚态系统的某些方面。

英文摘要:

We propose a theory of quantum gravity which formulates the quantum theory as a nonperturbative path integral, where each spacetime history appears with a weight given by the exponentiated Einstein-Hilbert action of the corresponding causal geometry. The path integral is diffeomorphism-invariant (only geometries appear) and background-independent. The theory can be investigated by computer simulations, which show that a de Sitter universe emerges on large scales. This emergence is of an entropic, self-organizing nature, with the weight of the Einstein-Hilbert action playing a minor role. Also the quantum fluctuations around this de Sitter universe can be studied quantitatively and remain small until one gets close to the Planck scale. The structures found to describe Planck-scale gravity are reminiscent of certain aspects of condensed-matter systems.

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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