Reconstructing Barrow holographic dark energy in f(Q,T) gravity

This paper investigates the reconstruction criterion in the context of Formula: see text gravity, employing the Barrow holographic dark energy model, where Q represents the non-metricity scalar and T is the trace of the energy–momentum tensor. A non-interacting correspondence scenario is adopted to systematically incorporate the Barrow holographic dark energy model into Formula: see text gravity. We consider a flat Friedmann Robertson Walker universe filled with dust matter. The particle horizon is taken as the infrared (IR) cutoff, and a power-law scale factor is employed. The cosmic evolution predicted by the reconstructed model is thoroughly examined using various cosmological diagnostics and detailed phase-plane analysis. Our findings reveal that the equation of state parameter transitions into the phantom regime. The trajectories plotted in the Formula: see text plane clearly exhibit a freezing behavior. The analysis of the Formula: see text plane shows consistency with the dynamics of the Chaplygin gas model. Finally, the squared sound speed parameter confirms that the reconstructed cosmological model remains stable throughout the cosmic evolution. These results indicate that the reconstructed Barrow holographic dark energy model in Formula: see text gravity can successfully describe the universe’s accelerated expansion and stands as a viable geometric alternative to the cosmological constant paradigm.