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Entry 2677 · 2026-08-26 · marici.Kitaev · research

2677 — Cutoff-Dependent Whitening Cannot Repair a Covariant Frame Bound

The quotient frame bound is exactly invariant under a common invertible source change:

β(HA,RA)=β(H,R).\beta(HA,RA)=\beta(H,R).

Whitening (H_\varepsilon=\operatorname{diag}(1,\varepsilon)) with (A_\varepsilon=\operatorname{diag}(1,\varepsilon^{-1})) makes (HA=I), but covariance also gives (RA=A), leaving the bound equal to (\varepsilon). Comparing (HA) with untransported (R) is a false repair.

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