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And with the Fisher Information equal to zero the inequality becomes trivial as both the length and divergence become 0.   From this analysis we can see that the $k_r$ becomes 0 when there is no disorder because the Fisher Information becomes 0. From this simplification we then see that  \begin{equation}  k_{abs}=\frac{d}{dt}[ln\Sigma S_i] k_{abs}=\frac{d}{dt}\left[\ln\sum_i S_i\right]  \end{equation}  \subsection{Fisher equations}