AX-128: Lyapunov Constraint

Statement (one sentence)

If a system’s baseline dynamics are unstable (positive Lyapunov exponent / unbounded drift), it cannot self-stabilize without external control input.

Intended meaning (2-5 sentences)

This is a control-theory constraint: some decay/instability regimes cannot be corrected by the system’s internal dynamics alone. The framework uses this constraint to distinguish “feedback” from “vicious circularity” when introducing grace as a typed control channel.

What this is NOT claiming

  • Not that every system is unstable.
  • Not that “external input” automatically implies God; it is a formal role first.

Downstream commitments

  • Any grace/intervention claim must specify the instability condition and the observable consequences of control.

Enables / supports