Ideas from Loop quantum gravity and Loop quantum cosmology are borrowed, in an effort to resolve the classical singularity of a Schwarzschild black hole. Following these ideas, an effective
Hamiltonian of the polymerized black hole can be constructed. The metric constructed from the
solutions of the effective Hamiltonian indicates that the classical singularity is now replaced by a transition surface. A few issues do remain in the literature which were fixed by Ashtekar, Olmedo and Singh (AOS) in a series of papers. One of them being, treating the polymerisation parameters as Dirac observables by extending the phase space and later fixing them at the transition surface by minimum area conditions.

Bodendorfer, Mele and Münch (BMM) first pointed out that they can be directly considered as
the Dirac observable without extending the phase space. This idea was further consolidated by
Garcı́a-Quismondo and Marugán. As expected, this modifies the equations of motion and the metric components. The behavior of the modified metric is investigated in the black hole exterior and in the asymptotic limit. Corresponding curvature invariants indicate that the metric is
asymptotically flat but is independent of the mass parameter to the first order.