This paper introduces CORE Theory (Central Origin of Relative Existence), a wave-based model that explains the emergence of space-time curvature from phase interference between a stable origin and observation point. Unlike general relativity which postulates that mass bends space-time, CORE Theory derives this curvature as the second-order spatial gradient of interference intensity arising from persistent phase asymmetry (Δφ). The model reinterprets gravity, mass, and black holes as dynamic informational imbalances, and proposes that time perception ("the now") emerges from threshold-crossing interference activation. By bridging wave physics and information theory, CORE Theory provides a unifying mechanism for space-time structure, quantum behavior, and cognitive phenomena. Applications may include analog XOR-based AI modeling, gravity wave sensors, and informational cosmology.