  Spacetimes admitting appropriate spatial homothetic Killing vectors are
called spatially homothetic spacetimes. Such spacetimes conform to the fact
that gravity has no length-scale for matter inhomogeneities. The matter density
for such spacetimes is (spatially) arbitrary and the matter generating the
spacetime admits {\it any} equation of state. Spatially homothetic spacetimes
necessarily possess energy-momentum fluxes. We first discuss spherically
symmetric and axially symmetric examples of such spacetimes that do not form
naked singularities for regular initial data. We then show that the Cosmic
Censorship Hypothesis is {\em equivalent} to the statement that gravity has no
length-scale for matter properties.
