This work develops the interpretation of scattering, locality, and effective interaction within the Breathing Universe framework, in which the physical vacuum is treated as a structured dynamical medium characterized by the redistribution of internal tension. The local state of this medium is described by a scalar order parameter H(x), representing the imbalance relative to the zero-line equilibrium configuration. In standard quantum field theory, scattering processes are formulated in terms of local interactions between fields defined on spacetime. In contrast, the present work reinterprets scattering as an emergent phenomenon arising from the interaction of coherent imbalance configurations within the vacuum-tension medium. Locality is not assumed as a fundamental property, but emerges as an effective description valid within finite coherence domains of the vacuum structure. We introduce a framework in which effective interaction vertices correspond to localized projections of underlying redistribution dynamics. The apparent point-like nature of interactions is shown to result from coarse-graining over structured vacuum processes, while nonlocal correlations reflect the extended coherence properties of the underlying medium. This leads to a natural distinction between microscopic structural nonlocality and macroscopic effective locality. The scattering amplitude is interpreted as a measure of redistribution compatibility between interacting configurations, rather than as a fundamental probabilistic object. Within this interpretation, interaction strengths and selection rules arise from constraints on coherence, imbalance matching, and admissible redistribution pathways in the vacuum medium. We further show that the effective field theory description of interactions can be recovered as a controlled approximation in which higher-order structural effects are encoded in operator expansions. In this limit, standard locality, Lorentz invariance, and perturbative interaction structure are preserved to leading order, while subleading corrections encode the underlying vacuum-tension dynamics. The framework provides a structural reinterpretation of interaction processes that remains compatible with established quantum field theory in its domain of validity while offering a deeper conceptual layer in which locality and interaction emerge from coherence-constrained vacuum dynamics. This establishes the interaction layer of the Breathing Universe effective field theory and clarifies how scattering phenomena arise from the internal organization of the physical vacuum.
Ivo Gerlach Angela Noel Cerfontaine (Sun,) studied this question.