Most dominant intervention frameworks assume that increasing effort, force, or intensity yields proportional improvements in outcomes. In systems without memory or structural identity, such assumptions may hold. However, real-world systems—human, social, institutional, ecological, and algorithmic—are not passive recipients of force. They are adaptive entities defined by their history. This paper introduces the Theory of Multidimensional Aligned Intervention (TMAI), a formal framework establishing that intensity-only intervention models are structurally incomplete for systems exhibiting hysteresis (memory). We prove three core results: (1) The Representation Theorem formalizes the Conservation Principle governing complex system response to intervention; (2) The Impossibility Theorem demonstrates that models ignoring critical structural variables (Alignment Φ, Permeability C, Stability η) cannot predict outcomes in memory-laden systems; (3) The Critical Dominance Theorem shows that misclassification of critical regimes produces unbounded expected harm under intensity escalation, establishing strict safety boundaries for intervention protocols. The Ibuprofen Trap. We demonstrate the theory's predictive power through 9 canonical experiments spanning policy (Prohibition, 1920), technology (Windows ME, 2000), and medicine (NSAID fever suppression). The medical case exemplifies dual-channel harm: ibuprofen provides measurable symptom relief (fever reduction) while simultaneously masking infection progression and elevating cardiovascular risk—a pattern mirroring structural failures from Prohibition to digital product launches. The theory's core prediction (A2: Non-Compensability) is validated through Monte Carlo Ordinal Safety Witness (simulateₜmai. py, n=1, 000 trials, seed=42, Supplement F) —a minimal computational construction demonstrating that under low alignment, escalating intervention intensity concentrates probability mass on collapse outcomes. The witness confirms 98. 4% collapse dominance in low-alignment regimes despite moderate intervention intensity, establishing regime dominance rather than point forecasts. A formal proof of Critical Dominance establishes strict epistemic shielding against tautology. Scientific Position. TMAI is presented as a structural decision framework grounded in systems physics, yielding ordinal and prohibitive predictions verified by falsifiability constraints. The framework predicts intervention regimes (go/no-go classifications), risk orderings (alignment-intensity phase space), and critical dominance conditions—not universal point forecasts of specific outcomes. This ordinal scope ensures predictive rigor while acknowledging irreducible complexity in real-world systems. Importantly, our impossibility result is conditional: it applies to intensity-only intervention models within the domain of systems exhibiting structural memory (hysteresis), where intervention energy is dissipated as preservation friction. The claim is therefore structural and domain-bounded, not a universal forecasting statement about all systems.
DANNY YUBI DAGOGLIANO (Fri,) studied this question.