“不知道量子引力细节“下黑洞熵（LOGARITHMIC）修正的简单确定
A Simple Determination of the (LOGARITHMIC) Corrections of Black Hole Entropy "without Knowing the Details of Quantum Gravity"
摘要：
在这项工作中，从我们以前的工作中提出的简单的近似（准经典）方法开始，我们提出了一个简单的确定（史瓦西）黑洞熵的（对数）修正“不知道量子引力的细节“（Fursaev）。也就是说，在我们以前的工作中，我们证明了所有著名的重要的物理特性的黑洞（贝肯斯坦-霍金熵，贝肯斯坦熵/表面量子化和霍金温度）可以有效地再现开始简单的假设，黑洞视界周长持有整数个约化康普顿波长对应的质量（能量）谱的小系统。（很明显，它在概念上类似于玻尔量子化公设，在玻尔-索末菲的量子理论中由德布罗意关系解释。）特别地，黑洞熵可以表示为黑洞质量与小量子系统基态（能态）最小质量的商。我们假设黑洞质量修正简单地等价于黑洞与小量子系统在基态（能态）引力相互作用的负经典势能。由此不难看出，引力相互作用的经典势能的绝对值与黑洞的温度是一致的。根据第一熵定律，一阶熵修正保持曲面的对数形式，系数为-0.5。在“不知道量子引力的细节“的情况下，以准经典的方法得到的结果与宏观黑洞的圈量子引力和其他量子引力方法得到的结果是等价的.
英文摘要：
In this work, starting by simple, approximate (quasi-classical) methods presented in our previous works, we suggest a simple determination of the (logarithmic) corrections of (Schwarzschild) black hole entropy "without knowing the details of quantum gravity"(Fursaev). Namely, in our previous works we demonstrated that all well-known important thermodynamical characteristics of the black hole (Bekenstein-Hawking entropy, Bekenstein entropy/surface quantization and Hawking temperature) can be effectively reproduced starting by simple supposition that black hole horizon circumference holds integer number of reduced Compton wave lengths corresponding to mass (energy) spectrum of a small quantum system. (Obviously it is conceptually analogous to Bohr quantization postulate interpreted by de Broglie relation in Old, Bohr-Sommerfeld, quantum theory.) Especially, black hole entropy can be presented as the quotient of the black hole mass and the minimal mass of small quantum system in ground mass (energy) state. Now, we suppose that black hole mass correction is simply equivalent to negative classical potential energy of the gravitational interaction between black hole and small quantum system in ground mass (energy) state. As it is not hard to see absolute value of the classical potential energy of gravitational interaction is identical to black hole temperature. All this, according to first thermodynamical law, implies that first order entropy correction holds form of the logarithm of the surface with coefficient -0.5. Our result, obtained practically quasi-classically, "without knowing the details of quantum gravity", is equivalent to result obtained by loop quantum gravity and other quantum gravity methods for macroscopic black holes.
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