  We use an ensemble of N-body simulations of the currently favoured
(concordance) cosmological model to measure the amount of information contained
in the non-linear matter power spectrum about the amplitude of the initial
power spectrum. Two surprising results emerge from this study: (i) that there
is very little independent information in the power spectrum in the translinear
regime (k ~ 0.2-0.8 Mpc/h at the present day) over and above the information at
linear scales and (ii) that the cumulative information begins to rise sharply
again with increasing wavenumber in the non-linear regime. In the fully
non-linear regime, the simulations are consistent with no loss of information
during translinear and non-linear evolution. If this is indeed the case then
the results suggest a picture in which translinear collapse is very rapid, and
is followed by a bounce prior to virialization, impelling a wholesale revision
of the HKLM-PD formalism.
