  A pseudo-Riemannian manifold contains an inherent Hamiltonian structure
within the symplectic manifold in the cotangent bundle corresponding to the
metric. Using this structure, it is possible to define a Hamiltonian, which can
be quantized, and substituted into The Schrodinger Equation. The wave function,
despite having a very complicated structure, has the very interesting property
where it vanishes at the Schwarzschild $(r=0)$ singularity. This demonstrates
an apparent violation of Quantum Mechanics, in which information is required to
be conserved, and gives further evidence of a wave function vanishing at the
singularity point. In addition, we give conditions for this wave function
vanishing in terms of quantum numbers.
  NOTE: It has been graciously pointed out that the techniques of transforming
the Hamiltonian to an equivalent metric tensor is only valid for a Riemannian
manifold, not the pseudo-Riemannian manifold as required by General
Relativistic theories. Although, the specific mathematics used is completely
valid in this paper, the correct approach would be to use the ADM techniques
for Quantum Gravity. Updated version to follow!
