Test the operator before the bridge.
The declared native spectra impose a residual floor on the full programmed clock. Copies and a common rate adjustment cannot produce exact generator agreement. An endpoint can still match through phase aliasing.
Compare the signed spectral classes
The published programme uses n=10. Other lengths inspect the abstract spin-clock spectral family, with no revised payload programme implied. Positive frequencies are shown; negative modes mirror them.
Exact ordered-partition certificates
A large residual can coexist with an exact endpoint
For the n=10 clock, an engineered encoding into five tetrahedral copies per data label matches every endpoint eigenphase at T=π/(2κ). Its generator residual is 8κ, while complete endpoint channel discrepancy is exactly zero. Intermediate propagation differs.
A lower floor on Tη prevents this particular Duhamel budget from certifying small error. It supplies no lower bound on actual error or failure probability. The endpoint alias preserves that distinction.
What can enter the next native test?
A source-authored geometry, metric or coupling can change the spectral class. It needs a complete encoding E, prepared bank and clock, source-defined rate and readout, and protected record retention. Choosing weights or a rate to match a target is not that source law.
An explicitly weaker prepared-window or endpoint contract is another route. It must retain the complete state and its acquisition costs. The exact full-generator result and the closed-factor no-go remain scoped to their declared assumptions.
Independent human review and physical calibration remain open. This is development, with no registry entry or CRL promotion.
New: source-defined metric families and clock obstructions →