In this paper, the author begins by reviewing the fundamental contradictions between general relativity (GR) and quantum mechanics (QM) from the perspective of background manifolds, while highlighting a core principle that must be satisfied by both theories. The Schrdinger's cat thought experiment, Young's double-slit interference experiment, and the Einstein-Rosen-Podolsky (ERP) paradox are discussed in the context of this principle. The author proposes a unification of GR and QM within a mathematical framework by introducing the concepts of virtual potential fields and virtual mass. Based on this discussion, a model of black holes is presented, along with a potential explanation for the black hole information paradox, which may also offer insights into the mystery of antimatter. The paper further explores the possible applications of virtual particles in quantum field theory, including the treatment of divergent terms in the quantization of real scalar fields and the physical significance of the Pauli-Villars renormalization method, along with an estimate of the Lamb shift. Finally, the author suggests a promising approach for the quantization of the gravitational field.