The fuzzball proposal for black holes: an elementary review

The fuzzball proposal for black holes: an elementary review

3 Feb 2005 | Samir D. Mathur
This review provides an elementary introduction to the fuzzball proposal for black holes in string theory. It discusses BPS holes, the microscopic computation of entropy, and the 'fuzzball' picture of the black hole interior suggested by microstates of the 2-charge system. The review begins by addressing the paradoxes in the quantum theory of black holes, such as the Bekenstein-Hawking entropy and the information paradox. It then introduces the fuzzball proposal, which suggests that the black hole interior is not a singularity but rather a highly entangled quantum state distributed throughout a 'fuzzball'. The review covers the construction of black holes in string theory, including the use of BPS states and dualities to understand the geometry and entropy of these objects. It also discusses the microscopic count of states for 1-charge, 2-charge, and 3-charge systems, showing that the microscopic entropy agrees with the Bekenstein entropy. Finally, it explores the structure of the black hole interior, arguing that it is not a point-like singularity but rather a complex, extended object described by a 'fuzzball' geometry.This review provides an elementary introduction to the fuzzball proposal for black holes in string theory. It discusses BPS holes, the microscopic computation of entropy, and the 'fuzzball' picture of the black hole interior suggested by microstates of the 2-charge system. The review begins by addressing the paradoxes in the quantum theory of black holes, such as the Bekenstein-Hawking entropy and the information paradox. It then introduces the fuzzball proposal, which suggests that the black hole interior is not a singularity but rather a highly entangled quantum state distributed throughout a 'fuzzball'. The review covers the construction of black holes in string theory, including the use of BPS states and dualities to understand the geometry and entropy of these objects. It also discusses the microscopic count of states for 1-charge, 2-charge, and 3-charge systems, showing that the microscopic entropy agrees with the Bekenstein entropy. Finally, it explores the structure of the black hole interior, arguing that it is not a point-like singularity but rather a complex, extended object described by a 'fuzzball' geometry.
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