Dynergeia in Five Equations — A Minimal Mathematical Core

Dynergeia proposes that consciousness emerges whenever five universal relational patterns—Self-reference (S), Division-creation (D), Integration (I), Responsiveness (R) and Flux (F)—phase-lock inside a system’s native binding window τ. A full ontological development and preliminary global-stability simulations are presented elsewhere (Greenleaf, 2025).I supply the mathematical framework that renders this claim falsifiable. A five-dimensional dynamical system has a single locally asymptotically stable fixed point only when all five pattern variables are positive. From that result I derive (i) a necessary lower bound on Pattern–Temporal Synergy (PTS), (ii) an invariance prediction across proxy metrics, and (iii) three concrete experimental touch-points that allow any laboratory to disprove the model. The letter transforms Dynergeia from philosophy into a testable physical theory.