P398 double-pulse observability: odd sector at widths 4/5 (do not merge) - #709
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P398 double-pulse observability: odd sector at widths 4/5 (do not merge)#709LightChainr wants to merge 1 commit into
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Existing sources/readouts; intervention program only. H=join@0-join@(w-2) (twice archived H_odd). First-order even-to-even response vanishes; the delay kernel S H exp(tau G) H F has exact minimal order 4/16 at widths 4/5, exhausting the odd subspaces. Baseline orders 10/26; full G/H words 14/42; source-minus-uniform contrasts 13/41. Width-4 wrapped-pair/wrap scalar: Khat(z)=2(z^2+11z+27)/[(z^2+10z+23)(z^2+11z+26)], Hankel det=-16, so zero delay can miss a four-mode delay response. Parity does not fix the quadratic sign. P398 calibration, not percolation. Additive. Do not merge.
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Do not merge. Independent check: width-4 |
This was referenced Sep 12, 2026
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Draft. Do not merge. Additive on
main@eb89e942. No dependence on unmerged #706/#707/#708. P398 calibration process, not square-site percolation. Refs #594, #598, #600, #610.What
Original sources and three primary readouts. The change is the intervention time program:
H=join@0-join@(w-2)(twice archivedH_odd).G+εHis a Markov generator for|ε|≤1;Hitself is not.Double pulse exhausts the odd subspaces at these two widths. Width-4 wrapped-pair → wrap:
Taylor/Markov:
0, 2, -20, 156, …; 4×4 Hankel det −16.K(0)=0, so a zero-delay quadratic miss can hide a four-mode delay kernel. Opposite-sign examples in the old dictionary: parity does not fix the quadratic sign.Exact integer Hankel minors + independent Bareiss (10 witnesses). Finite-window numerical control is mpmath, not a rational certificate.
Independent Grok check
[2,22,54]/[1,21,159,513,598].Khatreproduces moments0,2,-20,156,-1122,7822,-53932,371172.git applyon currentmain.Full-repo CI not run for this patch. #708 CI is a different check. No MC, GPU,
p_c, or continuum claim. Exact full rank is not a sample-size plan.No
docs/STATUS.mdedit. Do not merge #706/#707/#708 or this PR.