Why it is a question
A39 §2B, under its proposed claim on relief: “There is an unresolved mathematical question beneath this claim: how do we compare demands when the processes bearing them split, merge, or change their representational organization? A one-to-one correspondence may not exist. A relation or diagram of correspondences could be more suitable than a simple fixed index set.” A39 asked for it to be filed separately as an Open question, and its integration table lists it: “How should demands be tracked across differentiation, branching, merging, and changes of organizational identity?” A43’s outline keeps it: “demand correspondence across differentiation and branching”.
CLAIM-361 needs the correspondence and assumes it is given. In the easy case it is: when demands are stated on outcomes and differentiation only enlarges what the organization can reach (CASE-115), the reference demands are the same before and after. The hard cases are the ones CLAIM-287 makes possible. What persists is “the capacity to reinstate an organization”, and that continuity “can branch and merge, so it is not an identity relation”. If one process bearing a demand becomes two, the earlier demand has two heirs, which may be held to different standards. If two merge, two demands may have one heir that satisfies a compromise of both. Then the question is whether a demand is satisfied, transferred, revised or abandoned, and the answer depends on a correspondence that no one has fixed.
What would count as an answer
- A structure for the correspondence (A39’s “relation or diagram”), with a rule for when relief across a branching counts as achievement for the reference demands and when it is constitutive transformation.
- A criterion, internal to the organization, for which later processes inherit which earlier demands, so the correspondence is not the analyst’s choice. CLAIM-194 is the warning: a boundary can be found without showing that the organization made it.
- Or an argument that no such criterion exists, so that relief across a branching is defined only relative to a stipulated correspondence, as Watson’s comparison is relative to a stipulated decomposition (THEORY-232).