Bekenstein-Hawking black hole entropy formula

introduction

• black hole entropy
  • not proportional to the volume enclosed by the event horizon
  • proportional to the area enclosed by the event horizon
    \(S_{BH}=\frac{A_{H}}{4}\)
• nonzero temperature
  • Hawking radiation

expositions

• Then I discuss Verlinde's scheme and the extent to which it gives a clear case of emergence of gravity. Finally, I give a novel derivation of the Bekenstein-Hawking black hole entropy formula based on Verlinde's scheme
• De Haro, Sebastian. “Dualities and Emergent Gravity: AdS/CFT and Verlinde’s Scheme.” arXiv:1501.06162 [gr-Qc, Physics:hep-Th, Physics:physics], January 25, 2015. http://arxiv.org/abs/1501.06162.