  The localization transition and the critical properties of the Lorentz model
in three dimensions are investigated by computer simulations. We give a
coherent and quantitative explanation of the dynamics in terms of continuum
percolation theory, an excellent matching of both the critical density and
exponents is obtained. Upon exploiting a dynamic scaling Ansatz employing two
divergent length scales we find data collapse for the mean-square displacements
and identify the leading-order corrections to scaling. The non-Gaussian
parameter is predicted to diverge at the transition.
