LFIS–14: Completion, Non-Closure, and Representational Rest

LFIS–14 formalizes the distinction between routing, completion, non-closure, and representational rest in Light Frame Cadence Geometry. Building on LFIS–13’s multi-ray closure framework, the volume separates cases where closure remains required but cannot be satisfied everywhere from cases where closure obligation has vanished locally. Routing is defined as selective retention of representable closure under inadmissibility. Completion is defined as the regime in which no local closure obligation remains. Non-closure is then formalized as relational continuity without representational closure bookkeeping, while representational rest is the terminal condition in which no further local ordering, routing, redistribution, or closure obligation is imposed. LFIS–14 is explicitly constraint-level: it introduces no transport mechanism, energetic depletion, global time parameter, or dynamical evolution. It supplies the formal completion/rest taxonomy used by later LFIS volumes on symmetric allocation limits, foundational constraint completeness, representability-closure concepts, and canonical mathematical forms.