Black hole microstates and string theory

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Discussion Overview

The discussion centers on the relationship between string theory, branes, and black hole entropy, particularly focusing on the concept of microstates and how they relate to the degrees of freedom of black holes. Participants explore theoretical frameworks rather than empirical observations, delving into the implications of these ideas within the context of string theory.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant seeks a popular science explanation of how strings and branes relate to black hole entropy and the counting of microstates.
  • Another participant notes that black holes in string theory are not the same as astrophysical black holes, referring to them as BPS states with interactions turned off, and suggests these states can be counted to relate entropy to the number of BPS states.
  • A third participant references Wikipedia to provide context, stating that string theory is an extension of General Relativity and describes strings and branes as quantum mechanical vibrating extended charged black holes.
  • Further information from Wikipedia is shared, indicating that string theories involve various formulations of black holes and their horizons, suggesting a complex relationship between different descriptions of black hole physics.

Areas of Agreement / Disagreement

Participants express differing views on the nature of black holes in string theory, with some considering them unphysical while others discuss their theoretical implications. The discussion remains unresolved regarding the exact relationship between strings, branes, and black hole microstates.

Contextual Notes

Participants highlight the theoretical nature of the discussion, with references to unphysical states and the complexity of counting microstates. There is an acknowledgment of the challenges in finding consistent holographic descriptions of black holes within string theory.

quantumfireball
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Can someone give me a Pop science explanation of what do strings and Branes have got to do with black hole entropy.
The no of degrees of freedom or the no of microstates of the black hole corresponding to a given macrostate is given by exp(S),where S is entropy of black hole which is related to area of event horizon.
So how do you count microstates of black hole using these extended objects?
 
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As far as I know the black holes in string theory are not "astrophysical" black holes with event horizons and so on. Instead they are so-called BPS states with interaction turned off. I would call them unphysical!
The idea is that nevertheless these BPS states they correspond in some sense to black holes (if you could turn interaction on). It is possible to "count" these BPS states and to relate the entropy to the number of BPS states.
 
You can get some insights at Wikipedia:

http://en.wikipedia.org/wiki/String_theory
including:

...String theory is a theory of gravity, an extension of General Relativity, and the classical interpretation of the strings and branes is that they are quantum mechanical vibrating extended charged black holes.
 
And at the same location in Wikipedia:

String theories are formulated on cold black holes, which are those which have as much charge as possible...a theory of a black hole horizon is a theory of everything. Finding even one consistent holographic description, a priori, seems like a long-shot, because it would be a disembodied nonlocal description of quantum gravity. In string theory, not only is there one such description, there are several different ones, each describing fluctuations of horizons with different charges and dimensions, and all of them logically fit together. So the same physical objects and interactions can be described by the fluctuations of one-dimensional black hole horizons, or by three-dimensional horizons, or by zero-dimensional horizons.
 

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