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arXiv 2104.14013gr-qcastro-ph.COhep-th
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前几何学中的宇宙学

Cosmology from pregeometry

C. Wetterich

摘要:

讨论了非紧Lorentz群$SO(1,3)$的类同态不变规范理论的宇宙学解。除了规范玻色子,我们的预几何模型还包含一个$SO(1,3)$的矢量表示的矢量场和一个标量单态。广义相对论和变引力理论成为普朗克单位的大距离和大时间的有效理论。我们提出了一个近似的有效作用,多达两个衍生物。在适当的参数范围内,宇宙逼近大时间稳定的Minkowski空间。对于晚期宇宙学,该模型预测了动态暗能量,并为暗物质提供了候选者。早期宇宙学的特征是暴胀时期。在无限的过去,宇宙的开端是巨大的空虚,对应于一个紫外线固定点,具有相关的量子尺度对称性。初始宇宙是一个真空态,所有场的涨落的期望值为零,关联函数为有限的非零。没有物理上的大爆炸奇点。

英文摘要:

We discuss cosmological solutions for a diffeomorphism invariant gauge theory of the non-compact Lorentz group $SO(1,3)$. Besides the gauge bosons our model of pregeometry contains a vector field in the vector representation of $SO(1,3)$ and a scalar singlet. General relativity and variable gravity emerge as effective theories for large distances and times in Planck units. We propose an approximation to the effective action with up to two derivatives. For a suitable range of parameters the universe approaches for large times stable Minkowski space. For late cosmology the model predicts dynamical dark energy and provides for a candidate for dark matter. Early cosmology is characterized by an inflationary epoch. The beginning of the universe in the infinite past is great emptiness, corresponding to an ultraviolet fixed point with the associated quantum scale symmetry. The beginning universe is a vacuum state with vanishing expectation values and finite non-vanishing correlation functions for the fluctuations of all fields. There is no physical big bang singularity.

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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