We consider the possibility of using measurements of anomalous magneti
c moments of elementary particles as a possible test of the Einstein E
quivalence Principle (EEP). For the class non-metric theories of gravi
ty described by the TH epsilon mu formalism we find several novel mech
anisms for breaking the EEP, and discuss the possibilities of setting
new empirical constraints on such effects. (C) 1997 Elsevier Science B
.V.