We find that the local character of field theory requires the parity d
egree of freedom of the fields to be considered as an additional discr
ete fifth dimension which is an artifact emerging due to the local des
cription of space-time. Higgs field can be interpreted as the gauge fi
eld corresponding to this discrete dimension. Hence the noncommutative
geometric derivation of the standard model follows as a manifestation
of the local description of the usual space-time.