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Conditional κ = 0.00330823 (+9e-8 over #6805): lift two helper inputs onto one shared carrier - #6824
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…rier Conditional kappa 0.00330823, up 9e-8 over CrocSwap#6805 on the same CrocSwap#6726 caller. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
This was referenced Nov 7, 2026
This was referenced Nov 7, 2026
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Two independent helpers of #6805's native word are born at a later native frame and share one carrier register; their responses are delivered there and one repair event restores the partner helper. The complete 18-call construction supports conditional κ=0.00330823, up 9e-8 (about 0.0027%) over #6805. This gain is small. It edits #6805's native word (same caller #6726) by ten removed/replaced and ten inserted events.
Exact local saving per call (H_r=r^t, t=1-κ): ΔT=H7-H9, ΔP=2H1-H3+H4-H5, so Δ(T-P)=H7+H3+H5-H9-H4-2H1>0. Concavity alone does not give the sign; PROOF.md proves it for the exponents used and the exact interval engines enclose it. Helpers 9:360→359, 7:9→10; paid 1:+2, 3:-1, 4:+1, 5:-1. The raw crossing is in (0.00330823456614, 0.00330823456615), above the tested saving 0.003308234. Rank-mass surplus 760 and the ordinary bound 535,415,008<10^9 are unchanged after recomputation; paid rank mass 178,044, paid requests 66,888.
Base: 7c49fe3.
#6702 native: edd6a37. #6805: 0ecd4fd (rebuilt in the package, payload pin 292b3ab3afb7...). #6726 caller: 435bbe9. #6763 audit: c3e0500.
Lifted native payload SHA256: d3ccfce7bdbca3b79771844e6c9fee48f1a8066444a19218995648df96982821.
All required bytes and Git/SHA256 pins are retained.
Reproduce (Python 3.12, stdlib):
Expected: PASS_SHARED_CARRIER_INPUT_LIFT and PASS_REGISTERED_RESEARCH_PACKAGE.
Executed: registered normal and optimized replays (Python 3.12) returned PASS_SHARED_CARRIER_INPUT_LIFT and PASS_REGISTERED_RESEARCH_PACKAGE, as did standalone normal and -O replays; the receipt is reproduced exactly. Checked: all 801x801 endpoint coefficients, 2,940 native maps with phases, 5,120 changed-pair columns, 7,488 caller contacts, independent native and invoice audits, both interval engines, compiler and 54+4 outer inequalities. Negative controls reject a wrong lift coefficient, a missing repair, aliased helpers and a stale bound event. Recomputed bounds: ordinary 535,415,008 (unchanged), compiler gap 1/1,750,000,000 (was 1/1,400,000,000). Details in VALIDATION.md.
Caveats: all five assumptions remain: native_all_columns, owned_erasure, compiler, precision_tape, analytic_recovery. Selected κ=0.003125804 is unchanged. External mathematical review remains open; no formal proof-kernel or unconditional theorem claim. The identity is for this word and helper pair only.
Credit: @CubeJerry (#6805, whose word is edited), zxv (#6726), thu-nmrc (#6716), Ali Romman (independent-helper basis; native input lifting #6349, #6353, #6372), #6763, DreamingOfClouds (#6702, #6375 shared-carrier lifts), and retained native/compiler/interval authors. Original notices preserved; Apache-2.0.
Prepared by DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code.
🤖 Generated with Claude Code