On the Bekenstein-Hawking Entropy, Non-Commutative Branes and Logarithmic Corrections

Abstract

We extend earlier work on the origin of the Bekenstein-Hawking entropy to higher-dimensional spacetimes. The mechanism of counting states is shown to work for all spacetimes associated with 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 wrapping the spacetime's event horizon plus the complete internal compactification space. Non-Commutativity on the brane worldvolume enters the derivation of the Bekenstein-Hawking entropy in a natural way. Moreover, a logarithmic entropy correction with prefactor 1/2 is derived.

17 pages, 2 figures; refs. added

References in corpus (6)

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• De Sitter Vacua from Heterotic M-Theory
• Vacuum Stability in Heterotic M-Theory
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Cited by in corpus (3)

• Black hole thermodynamics with generalized uncertainty principle
• De Sitter Vacua from Heterotic M-Theory
• Black Holes, Space-Filling Chains and Random Walks