https://doi.org/10.1140/epjc/s10052-024-12805-7
Regular Article - Theoretical Physics
Using the Kaniadakis horizon entropy in the presence of neutrinos to alleviate the Hubble and 
tensions
Department of Physics, Lorestan University, Khorramabad, Iran
a
Yarahmadimohammad10@gmail.com
Received:
19
December
2023
Accepted:
12
April
2024
Published online:
30
April
2024
The 
tension stands as a prominent challenge in cosmology, serving as a primary driver for exploring alternative models of dark energy. Another tension arises from measurements of the parameter, which is characterize the amplitude of matter fluctuations in the universe. In this study, we address the alleviation of both the Hubble tension and tension by incorporating Kaniadakis horizon entropy. We investigate two scenarios to explore the impact of this entropy on cosmological parameters. In the first scenario, utilizing modified Friedmann equations through Kaniadakis entropy, we estimate the values of and . In the subsequent scenario, we introduce the neutrino term and assess its effect on mitigating the Hubble and tensions. Our findings reveal that when considering the first scenario, the results closely align with Planck’s 2018 outcomes for Hubble and tensions. Moreover, with the inclusion of neutrinos, these tensions are alleviated to approximately 2
, and the value is in full agreement with the results from the KiDS and DES survey. Furthermore, we impose a constraint on the parameter K in each scenario. Our analysis yields 
for Kaniadakis entropy without neutrinos and 
for the combined dataset considering Kaniadakis entropy in the presence of neutrinos. We demonstrate that the value of K may be affected by neutrino mass, which can cause energy transfer between different parts of the universe and alter the Hubble parameter value.
© The Author(s) 2024
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.
