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\subsection{What is the Fisher Information}  Lets look at $I_r(t)$ in detail, specifically we can evaluate the effect of disorder on the information.   \begin{equation}  I(t)\equiv\gamma(t)(\frac{d}{dt}ln\gamma(t))^2 I_r(t)\equiv\gamma(t)(\frac{d}{dt}ln\gamma(t))^2  \end{equation}  \begin{equation}  \frac{d}{dt}ln\gamma(t)=\frac{d}{dt}ln\frac{S_i}{\Sigma S_i}=\frac{d}{dt}lnS_i -\frac{d}{dt}ln\Sigma S_i