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Main Authors: Hu, Jianping, Jia, Xuandong, Gao, DaoHong, Gao, Jiaze, Gao, Baoquan, Wang, Fayin
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2508.05389
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author Hu, Jianping
Jia, Xuandong
Gao, DaoHong
Gao, Jiaze
Gao, Baoquan
Wang, Fayin
author_facet Hu, Jianping
Jia, Xuandong
Gao, DaoHong
Gao, Jiaze
Gao, Baoquan
Wang, Fayin
contents The motivation of this paper is to obtain reliable constraints of transition redshift ($z_{ztr}$) and, in combination with the evolution of the Hubble constant ($H_{0}$) that could alleviate the Hubble tension, discuss the possible origin of the tension. Utilizing the latest H(z) measurements and different methods ($Λ$CDM model, Cosmography, and Gaussian process method), we investigated the impact of methodology and dataset on $z_{ztr}$ constraints, and find that the choice of method has a greater impact on $z_{tr}$ than the observations themselves. Through a statistical analysis of the $z_{ztr}$ constraints from 2004 to 2024, we find that total $z_{tr}$ constraints (2004$-$2024) can be well described by a Gaussian function with the mean value 0.65 and the standard deviation 0.16; that is, $\bar{z}_{tr}$(all) = 0.65 $\pm$ 0.16. And we confirmed that both dataset and methodology can indeed significantly affect the final constraints. The screened $z_{tr}$ constraints with free $H_{0}$ gives a new result $\bar{z}_{tr}$(free) = 0.64 $\pm$ 0.16. Coincidentally, the $z_{tr}$ results overlap with the initial moment of $H_{0}$ evolution ($H_{0}$ value starts to deviate from the Planck result). This may suggest that the Hubble tension might be closely related to this particular period in the evolution of the Universe.
format Preprint
id arxiv_https___arxiv_org_abs_2508_05389
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Constraints on transition redshift utilizing the latest H(z) measurements and comments on the Hubble tension
Hu, Jianping
Jia, Xuandong
Gao, DaoHong
Gao, Jiaze
Gao, Baoquan
Wang, Fayin
Cosmology and Nongalactic Astrophysics
The motivation of this paper is to obtain reliable constraints of transition redshift ($z_{ztr}$) and, in combination with the evolution of the Hubble constant ($H_{0}$) that could alleviate the Hubble tension, discuss the possible origin of the tension. Utilizing the latest H(z) measurements and different methods ($Λ$CDM model, Cosmography, and Gaussian process method), we investigated the impact of methodology and dataset on $z_{ztr}$ constraints, and find that the choice of method has a greater impact on $z_{tr}$ than the observations themselves. Through a statistical analysis of the $z_{ztr}$ constraints from 2004 to 2024, we find that total $z_{tr}$ constraints (2004$-$2024) can be well described by a Gaussian function with the mean value 0.65 and the standard deviation 0.16; that is, $\bar{z}_{tr}$(all) = 0.65 $\pm$ 0.16. And we confirmed that both dataset and methodology can indeed significantly affect the final constraints. The screened $z_{tr}$ constraints with free $H_{0}$ gives a new result $\bar{z}_{tr}$(free) = 0.64 $\pm$ 0.16. Coincidentally, the $z_{tr}$ results overlap with the initial moment of $H_{0}$ evolution ($H_{0}$ value starts to deviate from the Planck result). This may suggest that the Hubble tension might be closely related to this particular period in the evolution of the Universe.
title Constraints on transition redshift utilizing the latest H(z) measurements and comments on the Hubble tension
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2508.05389