C_9 Breakpoint and Collapse Signatures

This paper characterizes breakpoints and collapse signatures as necessary indicators of inadmissibility in a standing-conserving system. Rather than serving as triggers for intervention or optimization, breakpoints are shown to mark the structural limit at which admissible redescription fails and standing collapses. The analysis proceeds by exhaustion: any attempt to operationalize collapse signatures as control signals, thresholds, or recovery cues leads to illicit scope transport and fails closed. The treatment is purely declarative and non-procedural, placing on record the conditions under which collapse is recognizable without providing diagnostic algorithms or mitigation recipes.