论文标题
对分形宇宙学的观察约束
Observational constraints on the fractal cosmology
论文作者
论文摘要
在本文中，我们探讨了Calcagni [Jhep {\ bf03}（2010）120]提出的宇宙的分形模型，以用于分形时段中的功率计算可重新分配的现场理论。考虑到定时的分形谱，我们在分形宇宙学中得出了场方程，以探索分形宇宙中的结构形成和扩展历史。基于物质功率图图的数值研究报告说，与局部星系调查相反，分形宇宙学的结构增长较高。此外，根据哈勃参数图的演变，可以理解，分形宇宙学将减小分形宇宙学，这与低红移估计的$ H_0 $也不兼容。因此，关于基本数值研究，似乎分形宇宙学无法减轻局部和全球观察探针之间的紧张局势。然后，为了取得更准确的结果，我们通过观察数据来限制分形宇宙学，包括普朗克宇宙微波背景（CMB），弱透镜，超新星，巴里昂声学振荡（BAO）和红色移动空间扭曲（RSD）数据。分形维度$β$的派生约束表明，与标准宇宙学模型没有相当大的偏差。
In this paper, we explore a fractal model of the universe proposed by Calcagni [JHEP{\bf03}(2010)120] for a power-counting renormalizable field theory living in a fractal spacetime. Considering a timelike fractal profile, we derived field equations in fractal cosmology, in order to explore the structure formation and the expansion history in fractal universe. Numerical investigations based on matter power spectra diagrams report higher structure growth in fractal cosmology, being in contrast to local galaxy surveys. Additionally, according to the evolution of Hubble parameter diagrams, it can be understood that Hubble constant would decrease in fractal cosmology, which is also incompatible with low redshift estimations of $H_0$. So, concerning primary numerical studies, it seems that fractal cosmology is not capable to alleviate the tensions between local and global observational probes. Then, in pursuance of more accurate results, we constrain the fractal cosmology by observational data, including Planck cosmic microwave background (CMB), weak lensing, supernovae, baryon acoustic oscillations (BAO), and redshift-space distortions (RSD) data. The derived constraints on fractal dimension $β$ indicate that there is no considerable deviation from standard model of cosmology.
