  We review applications of noncommutative geometry in canonical quantum
gravity. First, we show that the framework of loop quantum gravity includes
natural noncommutative structures which have, hitherto, not been explored.
Next, we present the construction of a spectral triple over an algebra of
holonomy loops. The spectral triple, which encodes the kinematics of quantum
gravity, gives rise to a natural class of semiclassical states which entail
emerging fermionic degrees of freedom. In the particular semiclassical
approximation where all gravitational degrees of freedom are turned off, a free
fermionic quantum field theory emerges. We end the paper with an extended
outlook section.
