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.

中文翻译：

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时空最小长度的一个可能的热力学起源

本文通过在黑洞蒸发末期应用广义不确定性原理（GUP），提出了量子引力最小尺度的热力学解释，即它可能源于热力学第三定律的基本要求。用于量子引力系统。同时，我们有趣地发现，黑洞热力学第三定律在量子引力时空中充当监督者，以确保时空的因果关系，就像在经典引力中所做的那样。