This paper is part of a program aiming at the construction of a unified fie
ld theory based on geometrization of quantum theories instead of quantizati
on of gravitation. The theory we consider is built on a hyperspace-time wit
h a multiconnected extra space. We show that this theory implies the existe
nce of space-time built-in fundamental particles having topological structu
re which allows a geometric interpretation of the Pauli exclusion principle
. It follows that the number of bosons which can occupy the same quantum st
ate is limited to the very large but finite order of the discrete group at
the origin of the extra space multiconnectivity.