On the Bekenstein-Hawking entropy, noncommutative branes and logarithmic corrections

We extend our earlier work on the possible microscopic origin of the Bekenstein-Hawking entropy to higher-dimensional space-times. The mechanism of counting chain-like states is shown to work for space-times with event horizon wrapped by a Euclidean doublet (E-1, M-1) + (E-2, M-2) of electric-magnetic dual brane pairs of type II string-theory or M-theory. Noncommutativity on the brane worldvolume enters naturally the derivation of the Bekenstein-Hawking entropy including the correct prefactor. Moreover, a logarithmic correction with prefactor 1/2 is predicted.