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arxiv: hep-th/9612146 · v2 · submitted 1996-12-13 · ✦ hep-th · gr-qc

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A Correspondence Principle for Black Holes and Strings

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classification ✦ hep-th gr-qc
keywords blackstringholescorrespondenceholemassprinciplesize
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For most black holes in string theory, the Schwarzschild radius in string units decreases as the string coupling is reduced. We formulate a correspondence principle, which states that (i) when the size of the horizon drops below the size of a string, the typical black hole state becomes a typical state of strings and D-branes with the same charges, and (ii) the mass does not change abruptly during the transition. This provides a statistical interpretation of black hole entropy. This approach does not yield the numerical coefficient, but gives the correct dependence on mass and charge in a wide range of cases, including neutral black holes.

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