Fable
The canal worker remembered the whole river with a single status line
The key here is to apply the concept's constraints to specific objects, rather than merely describing an outcome.
As scale and exceptions increased, the methods previously held together by ad hoc coordination began to expose blind spots.
Short-term patches restore surface order, but do not address what the concept truly constrains.
The old craftsman turned to recording conditions, actions, results and the chain of responsibility, so that subsequent adjustments had evidence to rely on.
The canal chief changed to recording water level, flow rate, and gate opening at key sluices, using a few values to carry forward past influence. This step was troublesome and at first even slowed the project; but after several rounds, there was less rework, and the masters no longer changed the rules on a whim. Everyone finally saw that state space models compress history into an updatable state, and whether it is worth adopting still has to be verified by information retention and end-to-end performance.
Downstream does not need to reread the entire waterway to use the state to judge the next step.
Downstream workers no longer had to reread the entire mountain road to judge how much to open the gate next. From then on, the past along the long road could be compressed into an updatable state for the next step.