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WHAT'S WRONG WITH BLACK HOLE THERMODYNAMICS?

机译:黑洞热力学有什么问题?

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摘要

Not only is the Bekenstein expression for the entropy of a black hole a convex function of the energy, rather than being a concave function as it must be, it predicts a final equilibrium temperature given by the harmonic mean. This violates the third law, and the principle of maximum work. The property that means are monoton-ically increasing functions of their argument underscores the error of transferring from temperature means to means in the internal energy when the energy is not a monotonically increasing function of temperature. Whereas the former leads to an increase in entropy, the latter lead to a decrease in entropy thereby violating the second law. The internal energy cannot increase at a slower rate than the temperature itself.
机译:黑洞熵的Bekenstein表达式不仅是能量的凸函数,而不是必须的凹函数,它还可以预测由谐波均值给出的最终平衡温度。这违反了第三定律和最大工作原则。均质是其论点的单调递增函数,这强调了当能量不是温度的单调递增函数时,内部能量中从温度均值转移到均值的误差。前者导致熵增加,而后者导致熵减少,从而违反了第二定律。内部能量不能以比温度本身慢的速率增加。

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