Violence as a Special Case of Instability in Finite–Memory Causal Systems

Violence is commonly treated as a discrete event caused by individual agents and addressedthrough force-based suppression. Despite extensive legal, military, and policing efforts, violence reliably recurs, mutates across domains, and persists across generations. In this workwe propose a structural reformulation: violence is not an object or an act, but a dynamicalinstability arising in systems with finite causal memory operating under sustained load. Usinga causal–spectral framework grounded in finite-speed transport, memory-dependent dynamics,and operator theory, we show that force-based elimination is generically impossible. We derivea no-go result for suppression-only strategies, introduce an operator-level taxonomy of violence,and demonstrate recurrence and mutation using a minimal constructive model. The analysis unifies insights from public health, social science, and mathematical physics, and identifiesecosystem-level stabilization—not coercive control—as the only structurally admissible route todurable violence reduction.