We show that theories in which supersymmetry is broken via Scherk-Schw
arz compactification at the weak scale possess at least one scalar par
ticle with Compton wavelength in the millimetre range, which mediates
a force with strength 1/3 of gravity. Such forces are going to be expl
ored in upcoming experiments using micro-electromechanical systems or
cantilever technology. We also present a simple way of understanding s
ome decoupling aspects of these theories by analogy with finite-temper
ature field theory. (C) 1998 Elsevier Science B.V.