The note presents a consistent mathematical derivation implying the pa
radoxical conclusion regarding the spatial location of quantum particl
es in micro spacetime as revealed by, for instance, the two-slit exper
iment. The analysis shows that given certain geometrical properties of
a micro spacetime manifold then it could be said that under certain c
ircumstances a 'point' particle may be at two different spatial 'locat
ions' at the same 'time'. (C) 1998 Elsevier Science Ltd. All rights re
served.