Cosmic evolution of Tsallis holographic dark energy model in f(R,T2) gravity

In this paper, we study the Tsallis holographic dark energy model to examine the cosmic evolution in the framework of energy–momentum squared gravity. For this purpose, we use three distinct horizons as infrared cut-offs such as the particle horizon, event horizon and the conformal age of the universe. We analyze the behavior of different parameters like Hubble, density, equation of state and deceleration corresponding to different infrared cut-offs and explore the mysterious universe. The stability analysis is also performed using the squared sound speed method for all horizons. Our findings indicate that the considered dark energy model supports the accelerated expansion of the universe in all cut-offs. The stability is achieved for the particle horizon, while partial stability is observed for event horizon and conformal age of the universe. We also assess the behavior of standard diagnostic tools such as the ${\omega }_{TDE}-{\omega }_{TDE}^{{}^{\prime }}$ analysis and statefinder pair $(r,s)$ to discuss different cosmic eras. This delves into the intricate interplay between dark energy model and modified gravitational theory, shedding light on the overarching dynamics of the cosmos.