Damghan University Press Journal of Holography Applications in Physics 2783-4778 4 3 2024 09 25 Nonextensive Statistical Mechanics and Black Hole Thermodynamics: Tsallis and Kaniadakis Entropies 63 92 419 10.22128/jhap.2024.833.1086 EN Rusul H. Alsaedi Department of Theoretical Physics, Faculty of Basic Sciences, University of Mazandaran, 47416-95447, Babolsar, Iran Tahereh Azizi Department of Theoretical Physics, Faculty of Basic Sciences, University of Mazandaran, 47416-95447, Babolsar, Iran Jafar Sadeghi Department of Theoretical Physics, Faculty of Basic Sciences, University of Mazandaran, 47416-95447, Babolsar, Iran Journal Article 2024 06 08 We study the impact of nonextensive entropy on the thermodynamics of various black hole configurations, utilizing both Tsallis and Kaniadakis statistical frameworks. Additionally, we explore the stability of these black holes using the framework of nonextensivity. Our analysis reveals that the nonextensive Kaniadakis entropy does not result in any stability for the black holes. In contrast, the nonextensive Tsallis entropy ensures the stability of various black hole configurations. https://jhap.du.ac.ir/article_419_88b10b18a1d003dc4e823e5b4b07da9d.pdf