Einstein's weak equivalence principle (WEP) states that gravitational mass
is identical to inertial mass. This hypothesis has withstood experimental t
ests to an impressive accuracy of one part in 10(11). Various hypotheses ba
sed on theory and observations with matter suggest violations of WEP for an
timatter may exist anywhere from the one part in 10(6) to the 200% level. A
n observed violation at any level would have a profound impact, e.g. it wou
ld offer an explanation as to why matter and antimatter are so distinctly s
eparated in the cosmos. We propose a precise test of WEP for antiprotons in
microgravity. We expect to test WEP for antimatter to about one part in 10
6, and foresee that additional advancements of several orders of magnitude
in precision could follow with further technical developments.