Flow-Comult is propagation: the capacity of a directed process to be viewed as containing further directed processes within it. A flow that flows further does not expand — it converges. Flow-Comult tracks the layering of directed evolution without amplifying it, ensuring that the structure remains self-consistent at every depth.
Flow-Comult arises in Movement III: Directed Dynamics as one of the two structural components of Flow. Together with Flow-Counit (resolution), it gives Flow its convergent character. Under the KZ-Lax condition, propagation does not produce something larger — the layered flow is contained within the original flow. This makes Flow-Comult a structural tracking device rather than an amplifier.
Mathematical correspondence
Flow-Comult corresponds to the comultiplication of a comonad — the natural transformation from the comonad to its square. In lax-idempotent (KZ) comonads, the comultiplication is contractive: the square is contained in the original.
Related
- Flow — the directed dynamics operator whose propagation this is
- Flow-Counit — the complementary resolution operation
- KZ-Lax — the self-limitation condition that governs both operations