熵引力中的能量均分和最小半径
Energy equipartition and minimal radius in entropic gravity
摘要：
在这篇文章中，我们考察了引力熵性质论证中的能量均分假设。其他作者已经指出，均分在低温下无效。在这里，我们还指出，它同样不适用于有界能量的系统。对黑洞熵的许多解释都认为，微观系统具有有限维的状态空间，因此具有有限的最大能量。假设这是这种情况导致牛顿定律在高引力场下的剧烈修正，特别是在远离质点的有限半径处的加速度奇点。这暗示了史瓦西半径的物理学。然而，我们表明，奇点的位置尺度不同。
英文摘要：
In this article, we investigate the assumption of equipartition of energy in arguments for the entropic nature of gravity. It has already been pointed out by other authors that equipartition is not valid for low temperatures. Here we additionally point out that it is similarly not valid for systems with bounded energy. Many explanations for black hole entropy suggest that the microscopic systems responsible have a finite dimensional state space, and thus finite maximum energy. Assuming this to be the case leads to drastic corrections to Newton's law for high gravitational fields, and, in particular, to a singularity in acceleration at finite radius away from a point mass. This is suggestive of the physics at the Schwarzschild radius. We show, however, that the location of the singularity scales differently.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
