Investigating dark energy and cosmic acceleration: A study using FRW and Tsallis entropy in Chern–Simons gravity

This research delves into the study of the FRW spacetime within the framework of Chern–Simons modified gravity integrating the new Tsallis agegraphic dark energy model by examining the key cosmological parameters, including the density parameter, deceleration parameter, and equation of state. The Tsallis agegraphic dark energy model forecasts an Equation of State within the range of [Formula: see text] aligning well with the most recent observational data from Planck, WMAP, and BAO. The cosmic dynamics explored in this study reveal a transition from deceleration to acceleration, which is consistent with empirical observations. Density parameter graphs exhibit a shift from dark matter dominance to the prevalence of the Tsallis agegraphic model over specific redshift intervals. Furthermore, the interaction model predicts a density parameter within the range of [Formula: see text]. This comprehensive inquiry offers significant insights into the impact of the [Formula: see text] CDM model and quintessence on cosmic characteristics, underscoring the observed transition from a period of slowing expansion to accelerated expansion.