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C L O W N S & BLACK HOLES

C L O W N S & BLACK HOLES. The canonical conjugate to black hole entropy in general theories of gravity. Ram Brustein , Merav Hadad. Phys . Lett . B718 (2012) 653-656. Motivation. Black hole e ntropy counts the degrees of freedom of something unclear

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C L O W N S & BLACK HOLES

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  1. CLOWNS & BLACK HOLES The canonical conjugate toblack hole entropy in general theories of gravity Ram Brustein, MeravHadad Phys. Lett. B718 (2012) 653-656 12/

  2. Motivation Black hole entropy counts the degrees of freedom of something unclear Investigate common characteristics of general theories of gravity Building blocks of quantum gravity. 12/

  3. Entropy of black holes in general theories of gravity Wald entropy: 12/

  4. Identifying the canonical conjugate of Wald entropy from the action Brown :gr-qc/9506085 Black hole: • radial direction • Time - second normal direction. • Integration over the surface area of the horizon 12/

  5. Geometric meaning : The opening angle at - plane 12/

  6. Quantum picture In the classical limit (specific heat ) Non zero uncertainty at the opening angle 12/

  7. Physical meaning Quantum black hole is expected to be super-position of metrics with conical singularities. 12/

  8. Example of quantum gravity - Strings • String theory identifies the “microstates “ of a (extremal) black hole as modes of different vibrations of the strings. (hep-th/9602043) • These vibrations create metrics with conical singularities at the horizon with (N integer ). (hep-th/0212210) In string theory the “microstates“ of the black hole are metrics with (quantized) conical singularities at the horizon. 12/

  9. Summary • In any theory of gravity the entropy of a black hole is canonical to the opening angle in • Prediction - a quantum black hole is a superposition of metrics with conical singularities. • The prediction fits quantum gravity of string theory. 12/

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