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Formal definitions and convergence framing

Microstate/macrostate formalism and deterministic convergence boundaries.

Section: ResearchEpistemic status: formalLast updated: February 11, 2026

Macrostate definition

A macrostate output O is a concentration-dominant species crossing threshold theta at evaluation horizon t_f.

O(t_f) >= theta

Deterministic convergence equation

lim_{t -> t_f} P(O = f(I)) >= 1 - epsilon
C in [C_min, C_max]
T in [T_min, T_max]
k_intended >> k_leak
FIGURE 02: DETERMINISM EMERGENCE MODELR1R2R3Random microstate eventsRate hierarchy funnelk_intended >> k_leakOutput O

Figure 02 - Determinism Emergence Model

Microstate events converge to deterministic macrostate under bounded kinetic hierarchy.

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