This paper presents a detailed derivation of scalar field equations within the Quantum Informational Gravity (QIG) framework, integrating Laplacian coupling and residual gravitational oscillations. Building on the hypothesis that gravity may exhibit discrete flicker-like fluctuations, we extend the standard Lagrangian formalism to include scalar perturbations and Laplacian-driven dispersion, then validate this through dimensional analysis and GRACE satellite residual pathways. The detection of a gravity "flicker signal" suggests a deviation from classical General Relativity and may indicate the presence of a previously unrecognized fundamental force-carrier, aligning with Equation 42 of the QIG model. This document serves as both a theoretical and experimental bridge for future validation.