A possible thermodynamic origin of the spacetime minimum length

摘要

In this paper, by applying the generalized uncertainty principle (GUP) at the final stage of black hole evaporation, we have proposed a thermodynamic explanation for the minimal scale of quantum gravity, i.e. it may stem from the basic requirements of the third law of thermodynamics for quantum gravitation system. At the same time, we have interestingly found that the third law of black hole thermodynamics acts as a supervisor in quantum gravity spacetime to ensure the causality of the spacetime as that does in classical gravity.