  We demonstrate that dynamical noncommutative space-time will give rise to
deformed oscillator algebras. In turn, starting from some q-deformations of
these algebras in a two dimensional space for which the entire deformed Fock
space can be constructed explicitly, we derive the commutation relations for
the dynamical variables in noncommutative space-time. We compute minimal areas
resulting from these relations, i.e. finitely extended regions for which it is
impossible to resolve any substructure in form of measurable knowledge. The
size of the regions we find is determined by the noncommutative constant and
the deformation parameter q. Any object in this type of space-time structure
has to be of membrane type or in certain limits of string type.
