  The two dimensional set of canonical relations giving rise to minimal
uncertainties previously constructed from a q-deformed oscillator algebra is
further investigated. We provide a representation for this algebra in terms of
a flat noncommutative space and employ it to study the eigenvalue spectrum for
the harmonic oscillator on this space. The perturbative expression for the
eigenenergy indicates that the model might possess an exceptional point at
which the spectrum becomes complex and its PT-symmetry is spontaneously broken.
