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Introducing a new method, we demonstrate how the action of reduced operatorscan be derived without resorting to a recoupling theory and how they exactlyreproduce the results obtained in the standard approach of Quantum Reduced LoopGravity (QRLG). This is particularly relevant while dealing with volumeoperator when dealing with the coupling of matter fields to gravity. Apart fromreinforcing the close link between QRLG and loop quantum cosmology (LQC), thisprocedure also sheds new light on the issue of how to extract the continuumlimit, without resorting to the large-$j$ expansion, thereby pointing towards anew approach to tackle this problem.

Quantum Reduced Loop Gravity with matter: eigenvectors of the Hamiltonian operator in isotropic cosmology