In Ref. [1], a bounded vacuum-capacity framework was developed in which gravitation arises from static, localized deficits of a scalar vacuum-potential field normalized by the equilibrium condition Φ→c^2 in asymptotically flat spacetime. The same capacity principle was shown to imply a universal maximum force and a signal-speed bound v≤c.In the present work, we develop the dynamical sector of this framework. Linearized fluctuations about a localized vacuum-deficit configuration are shown to satisfy a Klein—Gordon—type equation, with the mass parameter determined by the intrinsic oscillation frequency associated with curvature of the vacuum response. The resulting plane-wave solutions yield an invariant quadratic dispersion relation of the form E^2=p^2 c^2+m^2 c^4, arising directly from the bounded stiffness-to-inertia ratio of the vacuum medium. The velocity-dependent inertial response m(v)=m/√(1-v^2/c^2 ) follows from this dispersion structure. In the low-momentum regime, the Schrödinger equation emerges as the nonrelativistic limit.The mass parameter entering both static and dynamical sectors is identified with the asymptotic vacuum-loading parameter defined in Ref. [1], relating gravitational and inertial mass to a single localized vacuum configuration. The results establish a unified dynamical description in which relativistic and nonrelativistic quantum wave equations arise from bounded vacuum capacity.