Detecting Retentive Saturation: Integration-Depth Diagnostics for Late-Time Structure Growth

This work introduces an integration-depth diagnostic framework for evaluating late-time cosmic structure growth. Instead of relying on static parameter comparisons, the study examines how growth-sensitive observables respond to controlled increases in observational integration. The framework defines explicit protocols, negative controls, and decisive outcome classes that distinguish structural saturation from dynamical suppression and systematic artifacts, while preserving early-universe consistency and remaining fully falsifiable.