从最小长度开始的牛顿常数：其他模型
Newton's constant from a minimal length: Additional models
摘要：
我们遵循Verlinde和Klinkhamer的论点，并构建了两个模型的全息屏幕的微观理论，允许牛顿定律的几何推导，牛顿常数表示在微观理论的面积谱中包含的最小长度尺度。其中一个模型与圈量子引力中表面和孤立视界的量子结构有松散的联系。我们的调查表明，克林克哈默关于新的长度尺度所得出的结论似乎在所有定性方面都是通用的。
英文摘要：
We follow arguments of Verlinde and Klinkhamer, and construct two models of the microscopic theory of a holographic screen that allow for the thermodynamical derivation of Newton's law, with Newton's constant expressed in terms of a minimal length scale contained in the area spectrum of the microscopic theory. One of the models is loosely related to the quantum structure of surfaces and isolated horizons in loop quantum gravity. Our investigation shows that the conclusions reached by Klinkhamer regarding the new length scale seem to be generic in all their qualitative aspects.
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