We present Theory-4, the fourth and final stage of the Nonlocal Vacuum Information Dynamics (NVID) framework, which investigates the dynamical role of information in spacetime physics. In the preceding developments (Theory-1, Theory-2, and Theory-3), thin–shell wormhole configurations were shown to be stabilizable through nonlocal vacuum response mechanisms and information current dynamics, while observation-induced perturbations were regulated through nonlinear screening and nonlocal redistribution. The three-channel decomposition ψobs = ψshell+ψvac+ψmem revealed that information is not destroyed but partially stored on boundaries. In the present work we develop the complete theory of the memory channel ψmem by introducing the concept of boundary information memory. Spacetime boundaries such as wormhole throats act as dynamical information storage layers that encode observation-induced information currents via a nonlocal encoding kernel E(Ω,Ω′). The stored information field I(Ω,t) evolves through nonlinear diffusion dynamics, natural decay, and nonlinear saturation that prevents unbounded growth. When multiple wormhole throats are present, their memory layers couple through a network coupling matrix Wij, forming a wormhole information network that exhibits collective modes, beat frequencies, and synchronization phenomena. The memory field backreacts on geometry through a phenomenological coupling ηI∂aI∂bI, modifying the throat metric and causing observable echo delay drift. We further develop a retrieval mechanism in which a fraction εR of the stored boundary information re-emerges as weak delayed signals via a retrieval kernel R(Ω,Ω′), producing distinctive ”memory echo” signatures. Linear mode analysis reveals the network spectrum sℓ,n = λn − γ − Dℓ(ℓ + 1)/R2 with stability criterion λmax < γ. The theory predicts seven distinct observational signatures: (1) memory evolution on boundaries, (2) network beat dynamics, (3) mode-dependent relaxation spectra, (4) retrieval memory echoes, (5) geometry-induced echo drift, (6) network eigenmode spectra, and (7) a global composite signal combining all effects. Five clear falsifiability criteria are identified, making Theory-4 a testable scientific theory. Theory-4 thus completes the NVID framework, establishing spacetime as an active information-processing medium with storage, networking, and retrieval capabilities, and opening the possibility of spacetime information tomography with future gravitational wave observations.
Vahit YILDIZ (Thu,) studied this question.