论文标题
巴罗黑洞校正 - 注入模型和tsallis nonextensentive
Barrow black hole corrected-entropy model and Tsallis nonextensivity
论文作者
论文摘要
关于鹰辐射的量子场景使我们有一个宝贵的线索，即黑洞的温度直接连接到其面积重力，并且其熵与地平线面积成正比。这些结果表明，热力学和重力之间存在着深厚的关联。最近引入的后孔熵的巴罗公式受到时空几何形状的影响，显示了通过barrow指数（$δ$）量子波动效应，其中$δ= 0 $表示通常的时空和最大值，$δ= 1 $，表征了分形的空间。量子波动是导致这种分形的原因。环量子重力方法为熵提供了对数校正。这种校正来自量子和热平衡波动。在本文中，我们分析了量子波动在手推车黑洞的几何形状上的无X量热力学效应。我们讨论了Tsallis对这种对数校正的巴罗熵的制定，以构建焦点定律。此外，我们获得了一个主方程，该方程式为TSALLIS $ Q $参数的任何值提供了平选法律，并分析了几种不同的情况。之后，计算热容量，并根据主要参数的函数进行热稳定性分析，即所谓的预因子之一，$ q $和$δ$。
The quantum scenario concerning Hawking radiation, gives us a precious clue that a black hole has its temperature directly connected to its area gravity and that its entropy is proportional to the horizon area. These results have shown that there exist a deep association between thermodynamics and gravity. The recently introduced Barrow formulation of back holes entropy, influenced by the spacetime geometry, shows the quantum fluctuations effects through Barrow exponent, $Δ$, where $Δ=0$ represents the usual spacetime and its maximum value, $Δ=1$, characterizes a fractal spacetime. The quantum fluctuations are responsible for such fractality. Loop quantum gravity approach provided the logarithmic corrections to the entropy. This correction arises from quantum and thermal equilibrium fluctuations. In this paper we have analyzed the nonextensive thermodynamical effects of the quantum fluctuations upon the geometry of a Barrow black hole. We discussed the Tsallis' formulation of this logarithmically corrected Barrow entropy to construct the equipartition law. Besides, we obtained a master equation that provides the equipartition law for any value of the Tsallis $q$-parameter and we analyzed several different scenarios. After that, the heat capacity were calculated and the thermal stability analysis was carried out as a function of the main parameters, namely, one of the so-called pre-factors, $q$ and $Δ$.
