# Lower $H_0$ within The Theoretical Insights of Special Cosmological Model Pertains to Derived from The Infinite Future

## TL;DR

This study proposes a novel method to lower the Hubble constant estimate within a specific cosmological model by combining theoretical and observational data, resulting in values that alleviate the current tension in measurements.

## Contribution

It introduces a new approach that integrates a fixed theoretical $H(z)$ value with observational data using Gaussian Processes, leading to refined cosmological parameter constraints and a lower $H_0$ estimate.

## Key findings

- Derived $H_0$ is significantly lower than Planck and Riess estimates.
- Incorporating theoretical $H(z)$) reduces tension in $H_0$ measurements.
- Refined cosmological parameters improve model consistency.

## Abstract

In the realm of the $\omega$CDM cosmological model with quiescence or quintessence as the dark energy, characterized by $\omega>-1$, there exists a fixed value of $H(z)$ at $z=-1$, devoid of dependency on other cosmological parameters. To constrain the Hubble constant, we amalgamated this theoretical $H(z)$ value with the latest 35 observational $H(z)$ data (OHD) using a Gaussian Process (GP) approach that is unrelated to cosmological models but intertwined with kernel functions. Within such a specialized cosmological paradigm, our scrutiny yields $H_0=64.89\pm4.68\ {\rm km\ s^{-1} Mpc^{-1}}$, markedly inferior to the $H_0$ estimate posited by the Planck Collaboration (2018) (exhibiting a tension of $0.53\sigma$), and substantially less than that of \cite{Riess2016A} (manifesting a tension of $1.67\sigma$). Conversely, when solely utilizing the latest 35 OHD, the inferred $H_0=68.77\pm6.24\ {\rm km\ s^{-1} Mpc^{-1}}$ (with a tension of $0.50\sigma$). Leveraging this derived $H_0$, we subsequently engage in $\chi^2$ statistics via the Markov Chain Monte Carlo (MCMC) technique to constrain cosmological parameters. Within the flat $\omega$CDM model, we deduce $\Omega_M=0.32\pm0.02$ and $\omega=-0.80\pm0.05$, whereas in the non-flat $\omega$CDM model, we ascertain $\Omega_M=0.34\pm0.05$, $\Omega_\Lambda=0.76\pm0.12$, and $\omega=-0.78\pm0.07$, magnitudes surpassing those obtained sans the incorporation of theoretical $H(z)$ values.