Fractional Quadratic Deceleration Parameter (FQDP): Observational and Theoretical Perspectives

This study explore the dynamics of cosmic expansion through a detailed exploration of a novel form of the deceleration parameter, denoted as q = α(t 2−1) t 2+1 , within the framework of f(R,T) gravity theory. This study employs both observational and theoretical approaches to unveil the intricate interplay of cosmic forces and phenomena that have a profound influence on the ever-evolving universe. The primary objective of this investigation is to gain a deeper understanding of the expanding dynamics, particularly the transition from deceleration to acceleration. The findings of this paper shed light on the presence of a phase transition and an initial singularity, while remaining consistent with the ΛCDM model. Moreover, this study serves as a foundation for further exploration within the f(R,T) gravity framework, providing fresh insights into the cosmos and offering a profound comprehension of the universe’s dynamic evolution.