Changes between Version 5 and Version 6 of u/JCFeb0713
- Timestamp:
- 02/07/13 15:49:48 (12 years ago)
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u/JCFeb0713
v5 v6 25 25 From the canonical partition function 26 26 27 [[latex(Z(T,F)=\int dE dx \Omega(E,x) \exp{-\left(E+Fx)/k_BT\right)})]]27 [[latex(Z(T,F)=\int dE dx \Omega(E,x) e^{-\left(E+Fx)/k_BT\right)})]] 28 28 29 29 we can derive … … 49 49 Black holes also have a Hawking Temperature 50 50 51 [[latex(T_H=\frac{\hbar c^3}{8 \piGMk_B})]]51 [[latex(T_H=\frac{\hbar c^3}{8 \pi GMk_B})]] 52 52 53 53 If we assume that the Bekenstein-Hawking entropy times the Hawking temperature must equal the work done by gravity, then we have … … 55 55 [[latex(F=T_H\frac{\partial S_{BH}}{\partial x})]] 56 56 57 58 [[Image(JC3.png, width=600)]] 57 59 58 60 What about