Changes between Version 5 and Version 6 of u/JCFeb0713


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Timestamp:
02/07/13 15:49:48 (12 years ago)
Author:
Jonathan
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  • u/JCFeb0713

    v5 v6  
    2525From the canonical partition function
    2626
    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)})]]
    2828
    2929we can derive
     
    4949Black holes also have a Hawking Temperature
    5050
    51 [[latex(T_H=\frac{\hbar c^3}{8\piGMk_B})]]
     51[[latex(T_H=\frac{\hbar c^3}{8 \pi GMk_B})]]
    5252
    5353If we assume that the Bekenstein-Hawking entropy times the Hawking temperature must equal the work done by gravity, then we have
     
    5555[[latex(F=T_H\frac{\partial S_{BH}}{\partial x})]]
    5656
     57
     58[[Image(JC3.png, width=600)]]
    5759
    5860What about