Recent theoretical results have demonstrated that noncommutative geometries
naturally appear within the context of string or M theory. One consequence
of this possibility is that QED takes on a non-Abelian nature due to the i
ntroduction of 3- and 4-point functions. In addition, each QED vertex acqui
res a momentum dependent phase factor. We parametrize the effects of noncom
mutative space-time coordinates and show that they lead to observable signa
tures in several 2 -->2 QED processes in e(+)e(-) collisions. In particular
, we examine pair annihilation, Moller and Bhabha scattering, as well as ga
mma gamma --> gamma gamma scattering and show that noncommutative scales of
order a TeV can be probed at high energy linear colliders.