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… = 1.044939e-4 Swapnil Jain's round-seven deferred bit word (PR CrocSwap#97 import, h=23) charged by PR CrocSwap#104's one-child stopped-product rule (every residual is a nested projector residual), a new h=24 all-disjoint rational-center complex producer (28,705 roles) in PR CrocSwap#104's framework, and PR CrocSwap#104's assembly at PHASE_STOP 1e-6: kappa = 1044939/10^10, complex-bound. Builds on PR CrocSwap#104 (icekylinx) and PR CrocSwap#97 (jacklightChen; Swapnil Jain's round-seven research). Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
…ppa = 1.0911630664e-4 PR CrocSwap#110's deferred complex readouts with PR CrocSwap#114's saturated placement on CrocSwap#117's DAG, an independent two-stage word check, and the exact certificate with CrocSwap#114's expanded charge. Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
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I checked whether #120 has the same readout coefficient issue that #118's audit found on the #117 DAG. It does, but it doesn't change κ. At head bfc5466 there are 11,862,912 expanded old-value readout coefficients. Max |c| is 55/42, and 32 of them are above 1 (none above 2). They all sit in 7 non-deferred roles reaching the centre: 22053, 22116, 22117, 22359, 22462, 23433, 25626. The 4,560 deferred roles stay at 1/2 or below. Same counts as #118. I couldn't find a magnitude check in the package. The only With #118's fix (each coefficient split into at most two unit shears, so So the ×2 charge and a coefficient check could go in, with a regenerated I did this with help from Claude (Anthropic); all counts were computed in exact integer arithmetic. |
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Superseded by later constructions (completed-core sharing and the three-stage cover line); closing this draft. |
Conditional κ = 1363953833/(1.25·10¹³) = 1.0911630664 × 10⁻⁴, complex-bound: +4.42% over #117 (1.044939e-4) and +0.53% over #118 (1.085428e-4), the best open PR.
Gate. An independent checker (
scripts/deferred_product/deferred_word.py) expands both stages of the exported deferred word, with stage two as the complement time reversal and banks exchanged: 277,799 events per invocation per stage, 0 violations, reflection continuous, values replayed with arbitrary scratch, paid histogram equal to the certified profile. Five mutation controls are rejected. Alternating residuals of ranks 2, 4, 6 and 8 occur; each is one child under the general normal form ofnotes/endpoint-gauge-complex.tex, as in #104.Builds on #117 (head cbb05ce, included in this branch). Full
make verifyis running; this PR stays a draft until it passes.Credits: Avi Eisenberg (#110), Rohan Arun (#118, parallel work), eumemic #114 (saturated placement and readout charge), Swapnil Jain (deferred readouts, round-seven bit word), icekylinx (#104), Zhihao Chen (#97), and all predecessors in #104's NOTICE and SOURCES. Prepared by eumemic with Anthropic Claude assistance.
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