Abstract

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.

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