Improvement and extension of the thin film brick wall model without cut-off
Sun Xue-Feng, Jing Ling, Wenbiao Liu, (1)北京师范大学物理学系，理论物理研究所，北京 100875; (2)北京师范大学物理学系，理论物理研究所，北京 100875;驻马店学院数理系，驻马店 463300 · Acta Physica Sinica · 2004
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 discusse d. Moreover, the non-spherical Rindler horizon is studied, and the expected res ult is given. It is apparent that the cut-off in the brick wall model is something related to the quantum theory of gravity.