Scope
Chapter “The admissibility frontier”, section “the first new inequality is not new”. This is assertion 5 of 5 in that section.
Expanded claim page · assertion 5 of 5
A stated candidate class or identification has been ruled out under explicit assumptions. checks assumptions, certificates, counterexamples and stopping rules.
Exact assertion
Storage typing changes the verdict on the real impedance lane. At 1 kHz, 3.162 kHz and 10 kHz, the complete fitted impedance fails the relaxation-only Loewner test for all 54 cells. Remove the series inductance already present in the frozen model and all 54 pass, with a positive smallest corrected eigenvalue. This dramatic reversal is not new physics and not independent validation—the nonnegative basis imposed the shared relaxation measure, while the source lacks measured slopes and repeat covariance. It is a practical detector design: report raw and storage-corrected kernels together, vary fixture inductance, and ask whether only the raw verdict moves.
A specified candidate class fails under explicit assumptions. The conclusion does not automatically extend to mechanisms outside that class.
Chapter “The admissibility frontier”, section “the first new inequality is not new”. This is assertion 5 of 5 in that section.
Check the assumptions defining the ruled-out candidate class; the no-go does not automatically extend beyond that class.
checks assumptions, certificates, counterexamples and stopping rules.
Break one of the no-go assumptions in a controlled construction, or show that the alleged obstruction does not follow within its stated class.
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