THE SLOW HARM THEOREM: A Structural Law of Institutional Drift, Visibility Lag, and Cumulative Harm

The Slow Harm Theorem formalizes a cross‑institutional structural pattern observed across decades of inquiries, inquests, and public investigations: institutions do not fail through sudden catastrophic breakdowns, but through small, repeated, low‑intensity failures that accumulate into systemic harm. Drawing on eight major cases across child welfare, healthcare, housing, environmental regulation, and policing, the paper operationalizes four core variables—H (t) (harm over time), R (t) (institutional response), V (t) (visibility), and D (drift) —to empirically demonstrate a recurring configuration: monotonic harm accumulation, flat or procedural response, and systematic visibility lag. Using 231 coded events extracted from inquiry reports, the paper shows that harm trajectories exhibit strong monotonicity (mean \ (R² = 0. 89\) ), institutional responses remain weak or repetitive (mean \ (R² = 0. 12\) ), and visibility lags range from hours to decades. Drift scores across all cases remain high (8–10), with a strong correlation between drift and cumulative harm (\ (r = 0. 82\) ). The theorem synthesizes these empirical regularities into a formal structural law: H (t) = f (D, R (t), V (t) ) demonstrating that cumulative harm becomes predictable once drift, response stagnation, and visibility lag are present. The paper positions Slow Harm as a substrate‑independent institutional mechanism, not a domain‑specific pathology, and establishes its role within the broader SignalRupture framework of epistemic collapse and governance‑layer failure.