Quantum tunneling and remnant from a quantum-modified Schwarzschild space-time close to Planck scale

In this paper, by using the modified Dirac equation based on the generalized uncertainty principle, close to the Planck scale, we investigate the quantum tunneling and remnant of a quantum-modified Schwarzschild space-time. We successfully calculate corrected tunneling rate, Hawking temperature, and minimum nonzero mass. The results also show that the correction of quantum gravity, which effectively inhibits the growth of temperature of quantum-modified Schwarzschild space-time, can prevent the black hole from evaporating completely, predicting the existence of the remnant of a black hole.