The RH Completion Gate Is Authorized Quasidiagonality over a Resolved Corner
Local exactness does not imply compatibility with the moving Euler cutoff.
For completed operator F and source-authorized projections P_X, the exact
uniform descent gate is
Fixed finite observers converge automatically for bounded F, but this does
not control the moving cutoff boundary. The leakage cells form an additive
shell cocycle; a nonvanishing limit must either be retained as a typed
primitive/square boundary operator or falsify strict descent.
The limit also has two parameters: spectral distance from the seam and inverse Euler cutoff. Their common corner must be resolved by approach direction before claiming uniformity. Finally, source-related boundary channels must be sewn at their shared endpoint before separate interior renormalization, following Benincasa's exact two-wall result.
Research packet:
research/grothendieck/the-rh-completion-gate-is-authorized-quasidiagonality-over-a-resolved-corner.md.
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