暗泉--史瓦西黑洞与弦的Susskind-Horowitz-Polchinsky对应的简单解释
Dark Spring - a Simple Interpretation of the Susskind- Horowitz-Polchinsky Correspondence between Schwarzschild Black Hole and Strings
摘要：
在这项工作中，我们提出了一个简化的解释Susskind-Horowitz-Polchinski对应Schwarzschild黑洞和字符串。首先，类似于朴素的，经典的力学拉普拉斯决定史瓦西半径，我们提出了一个简单的，经典的力学方程。它决定了足够强的经典弹性力的振幅，这种弹性力禁止以光速运动的普朗克质量粒子从相应的经典弹性弹簧（简称暗弹簧）的末端逃逸。此外，通过利用给定的弹性力和史瓦西引力“力”之间的形式恒等式，我们唯象地引入了一个简单的量子化规则。它指出周长（对应于形式上等效于史瓦西半径的弹性力振幅）具有相应约化康普顿波长的自然数。(It与玻尔原子理论中的量子化公设非常相似，由德布罗意关系解释。）然后，我们非常简单地（仅通过简单的代数方程）和令人惊讶地，我们得到这样的暗弹簧特性对应的基本物理特性（贝肯斯坦-霍金熵和霍金温度）相应的Schwarzschild黑洞。最后，将得到的暗弹簧特性与Susskind-Horowitz-Polchinski对应进行了简单的比较，得出了弦与暗弹簧的简单对应，即经典线性谐振子。暗弹簧的弹性系数的平方根对应于一个弦耦合g与牛顿引力常量的商，或者暗弹簧的经典弹性系数对应于一个弦态激发能级N的平方根的倒数。
英文摘要：
In this work we suggest a simplified interpretation of Susskind-Horowitz-Polchinski correspondence between Schwarzschild black hole and strings. Firstly, similarly to naive, classical mechanical Laplace determination of the Schwarzschild radius, we suggest a simple, classical mechanical equation. It determines amplitude of such sufficiently strong classical elastic force that forbids escape of a Planck mass particle moving by speed of light from end of corresponding classical elastic spring, simply called dark spring. Also, by use of a formal identity between given elastic force and Schwarzschild gravitational "force", we introduce phenomenologically a simple quantization rule. It states that circumference (corresponding to elastic force amplitude equivalent formally to Schwarzschild radius) holds natural number of corresponding reduced Compton's wave length. (It is deeply analogous to Bohr's quantization postulate in Bohr's atomic theory interpreted by de Broglie relation.) Then, very simply (by simple algebraic equations only) and surprisingly, we obtain such dark spring characteristics corresponding to basic thermodynamical characteristics (Bekenstein-Hawking entropy and Hawking temperature) for corresponding Schwarzschild black hole. Finally, simple comparison between obtained dark spring characteristics and Susskind-Horowitz-Polchinski correspondence, a simple correspondence between strings and dark spring, i.e. classical linear harmonic oscillator follows. Square root of the elasticity coefficient of the dark spring corresponds to quotient of one string coupling g and Newtonian gravitational constant, or, classical elasticity coefficient of the dark spring corresponds to reciprocal (inverse) value of the square root of a string state excitation level N.
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