黑洞熵无截断薄层模型的改进与推广

Improvement and extension of the thin film brick wall model without cut-off

将广义测不准关系引入薄层brickwall模型 ,撇开截断因子计算黑洞熵的方法于 2 0 0 2年首次提出 .当时这个方法尚存在一些问题 ,只得到了熵的上限与视界面积成正比 .对这个方法做了些改进 ,得到熵与视界面积成正比的结果 ,并讨论了比例因子与广义测不准关系中二阶项待定系数的关系 .然后把这种方法推广到非球对称的Rindler视界 ,得到了预期的结果 .

Applying the generalized uncertainty relation to the thin film brick wall model, the method of calculating black hole entropy without cutoff was first proposed in 2002. However, it was then only determined that the upper bound of entropy is proportional to the event horizon. Since the method is studied more deeply, the entropy itself is found proportional to the horizon too. The relation between the ratio coefficient and the second-order uncertainty parameter is also discussed. Moreover, the non-spherical Rindler horizon is studied, and the expected result is given. It is apparent that the cut-off in the brick wall model is something related to the quantum theory of gravity.