Cosmological FLRW Phase Transitions Under Exponential Corrected Entropy

This work considers how exponential corrections to the Bekenstein–Hawking entropy formula affect the thermodynamic behavior of the FLRW cosmological model. These corrections significantly alter the form of the Friedman field equations, leading to nontrivial phase transition behavior. For negative values of the tracking parameter , the system presents first‐order phase transitions above the critical temperature, and for positive , the system undergoes a reentrant phase transition. As these corrections are presumably relevant at the early Universe stage, to corroborate the presence of some potential vestige of this contribution in the current era, a study has been carried out comparing observational data and current values of the Hubble parameter.