arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2209.03055gr-qcastro-ph.COhep-th
收藏

多重分数化理论观测特征研究

On observational signatures of multi-fractional theory

Mahnaz Asghari, Ahmad Sheykhi

AI总结:

本文研究了时间方向多重分数化测度的 $q$ 导数理论,发现该模型不仅无法缓解观测张力,且与现有观测数据对比未表现出偏离宇宙学标准模型的显著特征。

摘要:

我们研究了带有 $q$ 导数的多重分数化理论,其中多重分数化测度被认为处于时间方向。在 $q$ 导数理论中,研究了功率谱的演化以及宇宙的膨胀历史。根据物质功率谱图,结构生长在多重分数化模型中会增加,这与大尺度结构的低红移测量结果不相容。此外,关于 Hubble 参数演化图,Hubble 常数值有所减小,这与局域宇宙学约束相冲突。因此,初步数值研究表明 $q$ 导数理论没有缓解观测张力的潜力。我们还利用当前观测数据探索了多重分数化模型,主要包括 Planck 2018、弱引力透镜、超新星、重子声学振荡(BAO)和红移空间畸变(RSD)测量。数值分析表明,多重分数化参数之间的简并性使得它们在观测下保持不受约束。此外,对 $H_0$ 和 $σ_8$ 的观测约束未发现与宇宙学标准模型有显著偏离。

英文摘要:

We study the multi-fractional theory with $q$-derivatives, where the multi-fractional measure is considered to be in the time direction. The evolution of power spectra and also the expansion history of the universe are investigated in the $q$-derivatives theory. According to the matter power spectra diagrams, the structure growth would increase in the multi-fractional model, expressing incompatibility with low redshift measurements of large scale structures. Furthermore, concerning the diagrams of Hubble parameter evolution, there is a reduction in the value of Hubble constant which conflicts with local cosmological constraints. Thus, primary numerical investigations imply that $q$-derivatives theory has no potential to relieve observational tensions. We also explore the multi-fractional model with current observational data, principally Planck 2018, weak lensing, supernovae, baryon acoustic oscillations (BAO), and redshift-space distortions (RSD) measurements. Numerical analysis reveals that the degeneracy between multi-fractional parameters makes them remain unconstrained under observations. Furthermore, observational constraints on $H_0$ and $σ_8$, detect no significant departure from standard model of cosmology.

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。

↑