Cosmographical analysis for H(z) parametrization towards viscous f(T) gravity

In this paper, we investigate a Cartesian coordinate metric viscous fluid cosmological model with interactions, using a novel parametrization of the Hubble parameter and constraining free parameters with observational data. Our analysis reveals a comprehensive picture of the universe’s expansion dynamics, including a transition from deceleration to acceleration. The model exhibits quintessence-like behavior, approaching the [Formula: see text]CDM scenario at present, and phantom-like behavior in the distant future. Our findings align with observational evidence and theoretical expectations, reinforcing the validity of our model. We also analyze the energy density, isotropic pressure and equation of state parameter, providing insights into the dynamic nature of dark energy. Our model satisfies the WEC, NEC and DEC but violates the SEC, indicating unconventional behavior consistent with observations of the universe’s accelerating expansion.