Effect of minimal length uncertainty on the mass-radius relation of white dwarfs

Understand

Generalized uncertainty relation that carries the imprint of quantum gravity introduces a minimal length scale into the description of space-time.

• It effectively changes the invariant measure of the phase space through a factor $(1+\beta \mathbf{p}^2)^{-3}$ so that the equation of state for an electron gas undergoes a significant modification from the ideal case.
• It has been shown in the literature (Rashidi 2016) that the ideal Chandrasekhar limit ceases to exist when the modified equation of state due to the generalized uncertainty is taken into account.
• To assess the situation in a more complete fashion, we analyze in detail the mass-radius relation of Newtonian white dwarfs whose hydrostatic equilibria are governed by the equation of state of the degenerate relativistic electron gas subjected to the generalized uncertainty principle.