论文标题
CMB温度波动的远程相关性来自全息纠缠熵
Long-range correlation of CMB temperature fluctuations from the holographic entanglement entropy
论文作者
论文摘要
在本文中，我们定义了居住在紧凑型$ \ text {cft} _d $时空的$ n $分离子系统的全息多部分纠缠熵。在一个很大的$ n $限制中，我们发现一阶全息纠缠熵扰动与子系统长度的变化成正比，并且具有对称（高斯）分布属性。从这一发现中，我们建议构建全息纠缠熵波动的两点相关函数，类似于在宇宙微波背景（CMB）温度波动分析中使用的全息纠缠函数。使用热力学的第一定律，我们可以将纠缠熵的微小变化与温度波动相关联。通过与Planck 2018 CMB数据从$ j = 2 $到$ j = 2499 $，其中$ j $表示多极点，我们提取与温度波动相对应的纠缠区域大小的分布。由于纠缠区域大小的分布可以解释为CMB温度波动，因此我们得出结论，纠缠可能在宇宙学的量子方面发挥作用。
In this paper, we define the holographic multipartite entanglement entropy for $N$ separated subsystems living in a compact $\text{CFT}_d$ space-time. In a large $N$ limit, we find that the first-order holographic entanglement entropy perturbation is proportional to the change in the length of the subsystem and it has symmetric (Gaussian) distribution property. From that finding, we propose to construct two-point correlation functions of holographic entanglement entropy fluctuations analogous to the one that is used in the cosmic microwave background (CMB) temperature fluctuations analysis. Using the first law of thermodynamics, we may correlate tiny changes in entanglement entropy with the temperature fluctuations. By comparing with Planck 2018 CMB data from $j=2$ to $j=2499$ where $j$ denotes the multipole moment, we extract the distribution of the entangling region size that corresponds to the temperature fluctuations. Since the distribution of the entangling region size can be interpreted as the CMB temperature fluctuations, we conclude that entanglement might play a role in the quantum aspects of cosmology.
