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arXiv 0710.5897astro-phgr-qchep-phhep-thmath.QA
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方向依赖的CMB功率谱和非对易几何的统计各向异性

Direction-Dependent CMB Power Spectrum and Statistical Anisotropy from Noncommutative Geometry

Earnest Akofor, A. P. Balachandran, Sang G. Jo, Anosh Joseph, Babar A. Qureshi

摘要:

现代宇宙学已经成为超越粒子物理学标准模型的理论的试验场。本文研究了非对易时空中暴胀子标量场的量子涨落,并在宇宙微波背景(CMB)辐射中寻找非对易修正。大尺度结构分布的不均匀性和CMB辐射的各向异性可以携带早期宇宙的非对易性的痕迹。我们表明,它的功率谱变得依赖于方向时,时空是非对易的。(The在物质的大尺度结构的分布中也可以通过实验观察到由于非对易性引起的效应。此外,我们已经证明,对于我们的非对易时空,决定温度涨落的概率分布不是高斯分布。

英文摘要:

Modern cosmology has now emerged as a testing ground for theories beyond the standard model of particle physics. In this paper, we consider quantum fluctuations of the inflaton scalar field on certain noncommutative spacetimes and look for noncommutative corrections in the cosmic microwave background (CMB) radiation. Inhomogeneities in the distribution of large scale structure and anisotropies in the CMB radiation can carry traces of noncommutativity of the early universe. We show that its power spectrum becomes direction-dependent when spacetime is noncommutative. (The effects due to noncommutativity can be observed experimentally in the distribution of large scale structure of matter as well.) Furthermore, we have shown that the probability distribution determining the temperature fluctuations is not Gaussian for our noncommutative spacetimes.

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