Constraints on Generalized Gravity-Thermodynamic Cosmology from DESI DR2

Understand

We explore the cosmological implications of generalized entropic models within the framework of Gravity-Thermodynamics (GT) approaches.

• These models, characterized by three or four additional free parameters, are designed to capture deviations from the standard Bekenstein-Hawking entropy and can reproduce well-known entropic formulations, including Tsallis, R\'enyi, Sharma-Mittal, Barrow, Kaniadakis, and Loop Quantum Gravity entropies in various analytical limits.
• We implement the corresponding cosmological models using a fully numerical GT approach to constrain the model parameters and to study the evolution of the dark energy equation of state as a function of the scale factor.
• Our Bayesian analysis, which incorporates the Pantheon+ and DESy5 supernovae data alongside the recently released DESI-DR2/DR1 Baryon Acoustic Oscillation (BAO) measurements, shows that the data favor the standard Bekenstein-Hawking entropy, leading to a $\Lambda$CDM-like late-time behavior.