Realisation of cosmic inflation under the purview of f(Q) gravity with agegraphic fluid

This study explored the dynamics of agegraphic fluid within the framework of f(Q) gravity. It highlights the positive effects of f(Q) gravity, especially when examining the universe’s evolution alongside agegraphic fluid. The analysis revealed quintessence-like behavior in the equation of state parameter for agegraphic fluid influenced by f(Q) gravity. Furthermore, the model does not converged to the \(\Lambda\) $\mathrm{\Lambda }$ Cold Dark Matter ( \(\Lambda\) $\mathrm{\Lambda }$ CDM) point. It provides evidence of the Hubble tension, indicating discrepancies in Hubble constant measurements. Furthermore, the investigation unveiled that the Hubble slow roll parameters satisfy inflationary conditions, suggesting the capability to shed light on the early universe’s inflationary epoch within this framework. Moreover, the model exhibits characteristics such as Type-III, Type-IV, and a w-singularity, serving as a connection between the early inflationary phase and the late-time accelerated expansion of the universe.