Anderson localization and the Planck length as source of disorder

The role of disorder on wave propagation through the universe is studied. Assuming space fluctuations of the order of the Planck length and the size of the universe as the corresponding localization length for the background radiation, we obtain the exponent (close to unity) in the power law relationship between these quantities. This suggests that the role of Anderson localization is not negligible at cosmological scales.

Is planetary chaos related to evolutionary (phenotypic) rates?

After Laskar, the Lyapunov time in the solar system is about five millions years (5.000.000 [years]). On the other hand, after Kimura, the evolutionary (phenotypic) rate, for hominids, is 1/5.000.000 [1/years]. Why are these two quantities so closely related? In this work, following a proposition by Finlayson and Hutchings et al, I found an inequality, which relates Lyapunov time and evolution rate. This inequality fits well with some known cases in biological evolution.