Abstract :
The new state equations of thermal radiation is obtained by using the generalized uncertainty relation, in the context of quantum gravity. It is noticeable that the pressure of radiation becomes divergent when the system approaches a non-zero minimal length, which implies the prohibition against the singularity in the formation of black hole. Using the time-energy uncertainty, the corrections to the Schwarzchild black hole thermodynamics are investigated. A negative and logarithmic correction to the Bekenstein–Hawking entropy is obtained. The mass loss rate of the black hole in the Planck realm is also discussed.
