Dinâmica Hierárquica por Planos com Variável de Coerência, Conformidade, Expulsão e Eventos Impulsivos

This work formalizes, in a minimal mathematical language, the idea of hierarchical levels/planes associated with coherence states: a state x(t) evolves under plane-dependent effective laws, and a scalar variable f (abstract frequency) measures coherence as the inverse of a disorder potential V. Compatibility with each plane is captured by sets \mathcal{K}_n: under conformity the dynamics refines the state (decreasing V, increasing f); under incompatibility, decline and expulsion to lower planes occur. Hysteretic thresholds provide stability and prevent spurious switching; rare impulses allow non-linear, abrupt transitions. The limit V\to 0 is treated as a descriptive boundary (“Principle”) where the plane discretization becomes degenerate. The manuscript includes elementary proofs, closed-form transition times, and illustrative figures.