Continuity–Rupture–Realignment (C–R–R): A Generative Pivot Model for Adaptive Transformation in Complex Socio-Technical Systems Evidence from Karachi's Municipal Tax Controversy

How do organizations survive moments when everything falls apart? While existing resilience frameworks emphasize "bouncing back," such approaches prove insufficient in an era of polycrisis. I introduce and empirically validate the Continuity-Rupture-Realignment (C-R-R) model, which views rupture as a potential Generative Pivot—a constructive inflection point enabling renewal when systems possess adequate adaptive capacity. I propose the Pivot Readiness Score (PRS): PRS = (Lr × Ad × Rc × Tf) / (σ × τ). The numerator captures adaptive capacity: Learning Reflexivity (Lr), Distributed Agency (Ad), Residual Continuity (Rc), and Transformation Flexibility (Tf). The denominator captures systemic resistance: Structural Rigidity (σ) and Systemic Tension (τ). I test the model through two interconnected case studies from the introduction of Municipal Utility Charges and Tax (MUCT) in Karachi, Pakistan (August 2024). Analysis reveals that the Karachi Metropolitan Corporation (KMC), facing chronic under-collection, executed a strategic Generative Pivot: initiating a partnership with K-Electric to access external capacity through weak ties. Despite KMC's internal adaptive capacity being severely limited (internal PRS ≈ 0.014), the partnership yielded effective PRS ≈ 10.5, enabling the collection of Rs2 billion in the first year. K-Electric, the utility partner, achieved realignment through internal adaptive capacity (PRS ≈ 6.51), gaining a 7.5% service fee and recovery of Rs1.5 billion in arrears. The cases validate the C-R-R model's core propositions: macro-level outcomes aggregate from micro-level readiness; rupture creates probabilistic bifurcation governed by the PRS threshold; weak ties enable network-level resilience; and reciprocity sustains generative pivots.