The recurring field procedure

Every application substitutes domain-specific objects into the same six-stage discipline.

Declare.

State the objects, arrows, equations, universal properties, observers, and admissible probe language.

Differentiate.

Ask how the obstruction moves under supported local variation; retain base and tangent information separately.

Quotient.

Remove gauge, presentation, baseline, paraphrase, or other variation that the declared decision cannot observe.

Localize.

Assign the surviving failure to modules, contexts, overlaps, skills, relations, agents, or argument fragments.

Repair.

Search only within a registered language of typed changes and record what must remain invariant.

Admit.

Use independent evidence to accept, reject, quarantine, or defer the proposal.

A chapter need not instantiate every stage with equal depth. The map is an audit device: a missing stage should be visible as an open obligation rather than silently replaced by a scalar objective.