  The September 11 attack on the US has revealed an unprecedented terrorism
worldwide range of destruction. Recently, it has been related to the
percolation of worldwide spread passive supporters. This scheme puts the
suppression of the percolation effect as the major strategic issue in the fight
against terrorism. Accordingly the world density of passive supporters should
be reduced below the percolation threshold. In terms of solid policy, it means
to neutralize millions of random passive supporters, which is contrary to
ethics and out of any sound practical scheme. Given this impossibility we
suggest instead a new strategic scheme to act directly on the value of the
terrorism percolation threshold itself without harming the passive supporters.
Accordingly we identify the space hosting the percolation phenomenon to be a
multi-dimensional virtual social space which extends the ground earth surface
to include the various independent terrorist-fighting goals. The associated
percolating cluster is then found to create long-range ground connections to
terrorism activity. We are thus able to modify the percolation threshold pc in
the virtual space to reach p<pc by decreasing the social space dimension,
leaving the density p unchanged. At once that would break down the associated
world terrorism network to a family of unconnected finite size clusters. The
current world terrorism threat would thus shrink immediately and spontaneously
to a local geographic problem. There, military action would become limited and
efficient.
