论文标题
对黑洞热力学相变的普遍不确定性原理对
The generalized uncertainty principle impact onto the black hole thermodynamic phase transition
论文作者
论文摘要
在这项工作中，我们进行了一项有关热力学演化和有限球形腔中黑洞的相变的研究，但受到广义不确定性原理的影响。结果表明，正面和负面的不确定性原理参数$β_0$都可以显着影响黑洞的热力学数量，稳定性，关键行为和相变。对于$β_0> 0 $，在进化的最后阶段，黑洞形成有限温度，有限质量和零局部热容量的残余物，可以被视为基本粒子。同时，它经历了一个二阶相变和两个霍金页型相变。大黑洞配置和小黑洞配置都会发生大质质合及相过渡。对于$β_0<0 $，总渗透 - 及相变仅针对大型黑洞配置，而黑洞残留物的温度和热容量是有限的，而其质量为零。这表明残留物是亚稳态的，将永远处于霍金页型相变。具体而言，根据局部重力的观点，残留物可以解释为附加亚稳态的微型黑洞构型，在原始情况和正校正情况下从未出现。
In this work, we conduct a study regarding the thermodynamic evolution and the phase transition of a black hole in a finite spherical cavity subject to the generalized uncertainty principle. The results demonstrate that both the positive and negative generalized uncertainty principle parameters $β_0$ can significantly affect the thermodynamic quantities, stability, critical behavior, and phase transition of the black hole. For $β_0>0$, the black hole forms a remnant with finite temperature, finite mass, and zero local heat capacity in the last stages of evolution, which can be regarded as an elementary particle. Meanwhile, it undergoes one second-order phase transition and two Hawking-Page-type phase transitions. The Gross-Perry-Yaffe phase transition occurs for both large black hole configuration and small black hole configuration. For $β_0<0$, the Gross-Perry-Yaffe phase transition occurs only for large black hole configuration, and the temperature and heat capacity of black hole remnant is finite, whereas its mass is zero. This indicates the remnant is metastable and would be in the Hawking-Page-type phase transition forever. Specifically, according to the viewpoint of corpuscular gravity, the remnant can be interpreted as an additional metastable tiny black hole configuration, which never appears in the original case and the positive correction case.
