Event-Anchored Fusion Ancestry and Consumer-Adequate Continuations

This paper specifies an event-anchored consumer for labelled single-defect circular actions. The consumer requests the origin of a selected fusion, its later carrier absorptions, the current placed partition, and the legal domains and successors of continuation commands.
On singleton-seed-generated domains, a finite placed-fusion forest recovers the complete consumer state and preserves it through every legal finite continuation. A placed forward union-find-with-explanations adapter provides a second realization. The results establish sufficiency for this declared consumer, not minimality, efficiency, or machine verification of the general theorems. Bounded replay and partial Lean formalization are provided as supporting controls.

Source repository: https://github.com/dooven-prime/rime-lite.

Paper XXXIX of the Representation-Induced Mechanics and Evolution (RIME) program.

Independent researcher; no institutional affiliation.