  In this article, we reexamine the derivation of the dynamical equations of
the Ashtekar-Olmedo-Singh black hole model in order to determine whether it is
possible to construct a Hamiltonian formalism where the parameters that
regulate the introduction of quantum geometry effects are treated as true
constants of motion. After arguing that these parameters should capture
contributions from two distinct sectors of the phase space that had been
considered independent in previous analyses in the literature, we proceed to
obtain the corresponding equations of motion and analyze the consequences of
this more general choice. We restrict our discussion exclusively to these
dynamical issues. We also investigate whether the proposed procedure can be
reconciled with the results of Ashtekar, Olmedo, and Singh, at least in some
appropriate limit.
