The Four Ecological Perturbations: A structural prediction for extinction therapy derived from the geometry of intervention

Gatenby and colleagues (2020) demonstrated that metastatic cancers can be driven to extinction through a two-step strategy: a first strike that reduces population size and diversity, followed by a second strike applied during the window of vulnerability. They identified four categories of second-strike perturbation: habitat disruption, demographic perturbation, predator introduction, and foraging restriction. This paper proposes that these four categories are not arbitrary -- they are the four operations of Generative Geometry (van der Klein, 2026), a universal sequential structure that governs all dissipative processes. If this is correct, the geometry produces three testable predictions: (1) all four perturbation categories are equally effective symmetry), (2) covering all four simultaneously should produce ~96% blockade regardless of timing -- eliminating the dependency on the window of opportunity, and (3) the escalation sequence (widen before deepen, deepen before force) should outperform all alternative treatment orderings. These predictions are testable in the existing Gillespie simulation framework.