Decoupling of Growth and Gravitational Potential Evolution in a Structure-Driven Cosmology

The BECU–OLON framework exhibits robust internal consistency, with its governing equations yielding stable, well-behaved solutions across all tested regimes. The resulting dynamics are coherent and non-pathological, indicating that the framework functions as a closed and self-consistent physical system rather than an ad hoc construction. In particular, the emergence of growth–potential decoupling arises as a direct consequence of the underlying structure-dependent response, reinforcing the predictive integrity of the model. On this basis, the present work proceeds through a strictly structured extension of the framework, where each subsequent section builds logically upon established results, ensuring continuity, methodological clarity, and the absence of redundant or disconnected formulations. The results presented here establish that the BECU–OLON framework operates as a consistent and predictive cosmological model, in which standard growth is preserved while the temporal evolution of gravitational potentials carries a distinct, measurable signature. The observed decoupling between growth and potential evolution emerges naturally from the structure-dependent response, without the need for additional matter components or ad hoc modifications. This positions the ISW signal as a direct observational probe of the underlying geometric dynamics. The framework therefore provides a coherent and testable extension of standard cosmology, warranting further investigation through both theoretical refinement and observational confrontation.