Existence of a Stability-Regulated Bonding Regime Between Dissociation and Collapse

This work extends the Chronos stability framework by demonstrating the existence of a stability-regulated bonding regime that emerges between dissociation and collapse in interacting systems. Previous Chronos results established that the stability constant χ governs the boundary between collapse and blow-up in nonlinear dynamical systems. In this work we show that a third regime naturally arises in which interacting structures form stable bounded connections when Chronos-regulated coupling balances separation dynamics. A mathematical formulation is developed in which bonding strength is determined by the ratio between Chronos-weighted interaction overlap and separation dynamics. This produces three regimes: dissociation, stable bonding, and collapse. The resulting framework provides a unified description of connection formation across physical scales, including atomic bonding, condensed matter structure, orbital stability, and large-scale cosmic clustering. These results suggest that the Chronos stability constant χ governs not only instability boundaries but also the emergence of stable connections between interacting systems.