I noticed AI tools were degrading my team's codebase. I tried to see the structure and the relationships between this phenomena by using math and statistics on ... (opens in new tab)

Adopting AI coding tools without proportional QA investment does not accelerate delivery — it amplifies technical debt. We model software development as a coupled ODE system where AI-generated code erodes the team's cognitive validation capacity (σ) at rate γ·v/σ, while QA restores it at rate η(1−σ). The resulting saddle-node bifurcation defines a critical QA threshold η_c = 4γv below which no stable equilibrium exists and the system collapses into unrecoverable technical debt. Calibration ac...