  We give a prescription to define in Loop Quantum Gravity the electric field
operator related to the scale factor of an homogeneous and isotropic
cosmological space-time. This procedure allows to link the fundamental theory
with its cosmological implementation. In view of the conjugate relation
existing between holonomies and fluxes, the edge length and the area of
surfaces in the fiducial metric satisfy a duality condition. As a consequence,
the area operator has a discrete spectrum also in Loop Quantum Cosmology. This
feature makes the super-Hamiltonian regularization an open issue of the whole
formulation.
