  A universal geometric inequality for bodies relating energy, size, angular
momentum, and charge is naturally implied by Bekenstein's entropy bounds. We
establish versions of this inequality for axisymmetric bodies satisfying
appropriate energy conditions, thus lending credence to the most general form
of Bekenstein's bound. Similar techniques are then used to prove a Penrose-like
inequality in which the ADM energy is bounded from below in terms of horizon
area, angular momentum, and charge. Lastly, new criteria for the formation of
black holes is presented involving concentration of angular momentum, charge,
and nonelectromagnetic matter energy.
