We propose a new approach to four-dimensional planckian-energy scatter
ing in which the phase of the S-matrix - to leading order in HBAR and
to all orders in R/b = Gs/J - is written in terms of the surface term
of the gravitational action and of a boundary term for the colliding q
uanta. The proposal is checked at leading order in R/b and also agains
t some already known examples of scattering in strong external gravita
tional fields.