When Dark Matter Heats Up: A Model-Independent Search for Non-Cold Behavior

This article questions the common assumption of cold dark matter (DM) by exploring the possibility of a non-zero equation of state (EoS) without relying on any parametric approach. In standard cosmological analyses, DM is typically modeled as pressureless dust with $w_{\mathrm{D}\mathrm{M}}=0$, an assumption that aligns with large-scale structure formation, supports the empirical success of the $\mathrm{\Lambda }$CDM model, and simplifies cosmological modeling. However, there is no fundamental reason to exclude a non-zero $w_{\mathrm{D}\mathrm{M}}$ from the cosmological framework. In this work, we explore this possibility through non-parametric and parametric reconstructions based on Gaussian Process Regression. The reconstructions use Hubble parameter measurements from Cosmic Chronometers (CC), the Pantheon+ sample of Type Ia supernovae, and Baryon Acoustic Oscillation (BAO) data from DESI DR1 and DR2. Our findings suggest that a dynamical EoS for DM, although only mildly supported statistically, cannot be conclusively ruled out. Notably, we observe a mild tendency ($\sim 1\sigma$) toward a negative $w_{\mathrm{D}\mathrm{M}}$ at the present epoch, which is most likely due to inconsistencies between the BAO data from DESI and other datasets.