We propose that a broad class of natural and social phenomena — spanning quantum physics, astrophysics, atmospheric science, biology, materials science, and human behaviour — shares a common dynamical topology described by the saturation field equation ∂tχ = S − Γχ − αχ2 , where χ = local state/maximum system capacity is a dimensionless saturation field, S is external forcing, Γ is linear dissipation, and α captures nonlinear self-saturation. We identify fifteen instances across eight domains, classify them into three dynamical routes to threshold (forced, self-organised critical, and spatial), and show that near any threshold the universal critical scaling Ψ ∼ (ε) β holds with β = 1/2, where ε measures distance from threshold. The Stochastic Rupture (SR) framework 1 provides the physically anchored instance in which the parameters are derived from first principles via the Bekenstein information bound; all other instances presented here represent empirical realisations of the same topological structure. We articulate falsifiable predictions and delineate clearly what the framework explains and what it does not
GUILHERME ZAMBUZI (Fri,) studied this question.