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In contrast to alternative values, the quantum of area $\Delta A = 8\pil_P^{2}$ does not follow from the usual statistical interpretation of blackhole entropy; on the contrary, a statistical interpretation follows from it.This interpretation is based on the two concepts: nonadditivity of black holeentropy and Landau quantization. Using nonadditivity a microcanonicaldistribution for a black hole is found and it is shown that the statisticalweight of black hole should be proportional to its area. By analogy withconventional Landau quantization, it is shown that quantization of black holeis nothing but the Landau quantization. The Landau levels of black hole andtheir degeneracy are found. The degree of degeneracy is equal to the number ofways to distribute a patch of area $8\pi l_P^{2}$ over the horizon. Taking intoaccount these results, it is argued that the black hole entropy should be ofthe form $S_{bh} =2\pi\cdot\Delta\Gamma $, where the number of microstates is$\Delta\Gamma = A/8\pi l_P^{2}$. The nature of the degrees of freedomresponsible for black hole entropy is elucidated. The applications of the newinterpretation are presented. The effect of noncommuting coordinates isdiscussed.

The quantum of area $\Delta A = 8\pi l_P^{2}$ and a statistical interpretation of black hole entropy