White dwarfs and generalized uncertainty principle

This work is motivated by the sign problem in a logarithmic parameter of black hole entropy and the existing more massive white dwarfs than the Chandrasekhar mass limit. We examine the quadratic, linear, and linear-quadratic generalized uncertainty principle (GUP) models within the virtue of recent masses and radii of white dwarfs. We consider the modification generated by introducing the minimal length on the degenerate Fermi gas equation of state (EoS) and the hydrostatic equation. For the latter, we applied Verlinde's proposal regarding entropic gravity to derive the quantum corrected Newtonian gravity, which is responsible for modifying the hydrostatic equation. Through the models' chi-square analysis, we have found that the observation data favor the quadratic than linear GUP models without mass limit. However, for the quadratic-linear GUP model, we can obtain the positive value of the free parameter γ0 as well as we can get mass limit more massive than the Chandrasekhar limit. In the linear-quadratic GUP model, the formation of stable massive white dwarfs than the Chandrasekhar limit is possible only if both parameters are not equal.