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Question
What higher-descent information is already present in familiar quantum-field structures?
What the note explains
Projective implementation and coherent overlap phases can retain information that is absent from a single local observable presentation. Identifying that shape does not establish every proposed physical bridge.
Example
If local implementers compose only up to a central phase on triple overlaps, record that phase and its coherence before trying to replace the system with one globally chosen representation.
What the approach gains
The note connects familiar charge and transport structures to a detailed sequence of witness obligations. It exposes the missing bridge between a structural detector and quantitative energetic statements.
Reading route
Start with the abstract and higher-descent interpretation. Then follow the VF8 theorem architecture alongside the G1–G7 witness worksheet.
Scope and limits
The final implication is conditional. The source does not claim the G1–G7 gates are all proved or establish unconditional confinement or a mass-gap theorem.