  We investigate the effective Dirac equation, corrected by merging two
scenarios that are expected to emerge towards the quantum gravity scale.
Namely, the existence of a minimal length, implemented by the generalized
uncertainty principle, and exotic spinors, associated with any non-trivial
topology equipping the spacetime manifold. We show that the free fermionic
dynamical equations, within the context of a minimal length, just allow for
trivial solutions, a feature that is not shared by dynamical equations for
exotic spinors. In fact, in this coalescing setup, the exoticity is shown to
prevent the Dirac operator to be injective, allowing the existence of
non-trivial solutions.
