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arXiv 2407.04735gr-qchep-th
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修正康普顿效应与宇宙微波背景各向异性

Modified Compton Effect and CMB Anisotropy

S. Davood Sadatian, Amir Sabouri, Zahra Davari

AI总结:

本文提出一种融入圈量子引力的修正-广义康普顿散射模型,利用2018年普朗克数据解释CMB温度各向异性及温度-E模偏振相关函数,并给出两个新参数的小值约束,结果显示与标准模型无显著偏差。

摘要:

近期卫星观测揭示了宇宙微波背景(CMB)辐射中存在显著的各向异性,这一现象此前虽已被探测到,但由于其细微性而受到有限关注。随着卫星更精确测量手段的出现,这种各向异性的程度已日益明显。本文通过回顾以往关于CMB各向异性成因的研究来审视CMB辐射,并提出一个新模型,用以解释观测到的温度各向异性以及CMB辐射中温度与E模偏振之间相关函数的各向异性。所提出的模型基于一种修正-广义康普顿散射方法,该方法融入了圈量子引力(LQG)。我们首先描述广义康普顿散射,然后在最后散射面上发生的过程这一背景下讨论CMB辐射。我们的发现源自普朗克卫星(2018年)的最新观测数据。在我们的模型中,除了普朗克数据中标准模型($Λ$CDM)已有的参数外,我们引入了两个新参数:$δ_{L}$,即宇宙电子密度,以及$M^2$,一个与修正-广义康普顿散射效应相关的参数。结果表明,基于2018年普朗克数据,$δ_{L}$和$M^{2}$获得了较小的值,$δ_{L}=1.63\pm0.08(10^{-13})$,$M^2=2.28\pm0.34(10^{-4})$,显示与标准模型没有显著偏差。此外,增大$δ_{L}$和$M^{2}$的值会导致CMB温度各向异性功率谱以及温度与E模偏振之间相关函数在$l<500$多极矩范围内直至第一个峰的涨落幅度增大。

英文摘要:

Recent satellite observations have revealed significant anisotropy in the cosmic microwave background (CMB) radiation, a phenomenon that had previously been detected but received limited attention due to its subtlety. With the advent of more precise measurements from satellites, the extent of this anisotropy has become increasingly apparent. This paper examines the CMB radiation by reviewing past research on the causes of CMB anisotropy and presents a new model to explain the observed temperature anisotropy and the anisotropy in the correlation function between temperature and E-mode polarization in the CMB radiation. The proposed model is based on a modified-generalized Compton scattering approach incorporating Loop Quantum Gravity (LQG). We begin by describing the generalized Compton scattering and then discuss the CMB radiation in the context of processes occurring at the last scattering surface. Our findings are derived from the latest observational data from the Planck satellite (2018). In our model, besides the parameters available in the Planck data for the standard model ($Λ$CDM), we introduce two novel parameters: $δ_{L}$, the density of cosmic electrons, and $M^2$, a parameter related to the modified-generalized Compton scattering effects. The results indicate that, based on the 2018 Planck data, small values were obtained for $δ_{L}$ and $M^{2}$, $δ_{L}=1.63\pm0.08(10^{-13})$ and $M^2=2.28\pm0.34(10^{-4})$, showing no significant deviation from the standard model. Moreover, increasing the values of $δ_{L}$ and $M^{2}$ leads to an increase in the range of fluctuations in the CMB temperature anisotropy power spectrum and the correlation function between temperature and E-mode polarization for multipoles $l<500$ until the first peak.

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