  Recently a consistent non-perturbative quantization of the Schwarzschild
interior resulting in a bounce from black hole to white hole geometry has been
obtained by loop quantizing the Kantowski-Sachs vacuum spacetime. As in other
spacetimes where the singularity is dominated by the Weyl part of the spacetime
curvature, the structure of the singularity is highly anisotropic in the
Kantowski-Sachs vacuum spacetime. As a result the bounce turns out to be in
general asymmetric creating a large mass difference between the parent black
hole and the child white hole. In this manuscript, we investigate under what
circumstances a symmetric bounce scenario can be constructed in the above
quantization. Using the setting of Dirac observables and geometric clocks we
obtain a symmetric bounce condition which can be satisfied by a slight
modification in the construction of loops over which holonomies are considered
in the quantization procedure. These modifications can be viewed as
quantization ambiguities, and are demonstrated in three different flavors which
all lead to a non-singular black to white hole transition with identical
masses. Our results show that quantization ambiguities can mitigate or even
qualitatively change some key features of physics of singularity resolution.
Further, these results are potentially helpful in motivating and constructing
symmetric black to white hole transition scenarios.
