Some considerations in the quantization of general relativity

In this dissertation, I explore a number of topics related to the quantization of the theory of general relativity. The first chapter presents a novel algorithm for determining the sky location of a gravitational wave source. The second chapter develops a new approach to polysymplectic covariant Hamiltonian field theory, then uses that approach to produce an original quantization procedure applicable to both particles and fields. The third and final chapter applies the quantization procedure of the second chapter to the particularly challenging case of general relativity. An appendix on noise in gravitational wave detectors and a Glossary of terms are included for the convenience of the reader.