Signals for Non-Commutative Interactions at Linear Colliders

Recent results from formal theory have demonstrated that non-commutative geometries naturally appear wihin the context of string/M-theory. One consequence of this possibility is that QED takes on a non-abeian nature due to the introduction of 3- and 4-point functions. In addition, each QED vertex acquires momentum depedent phase factor. We parameterize the effects of non-cmmutative space-time co-ordinates and show that they lead to observable signatures in several QED $2\to 2$ processes in \epem\ collisions. In particular, we xamine pair annihilation, Moller and Bhabha scattering, as well as $\gmma\gamma\to\gamma\gamma$ scattering and show that non-commutative scaes of order a TeV can be probed at high energy linear colliders.