Conditional T740 kappa refinement: +9.04e-25 over PR3148

[dataisfire]

Change and scope

Refine PR3148's unchanged coupled T740 construction from its 24-digit endpoint to

kappa = 0.0017297774946785970118869036568178 - 10^-57 - 10^-81.

The exact gain over PR3148 is approximately 9.036568178e-25. This is a tiny conditional precision refinement, not a changed word, physical mechanism or selected-frontier update. All recursive charges, 663,549 physical families, 91 buffers and the 1479/2048 prefix bill remain present.

research/coupled-cap740-grid35/PROOF.md states the source-bound reuse argument. Native/owner/physical evidence is inherited unchanged from PR3148 and authenticated through its complete stored-release checker. No fresh cold/native replay is claimed. All inherited compiler, physical realization, precision/tape, all-size, analytic and BIT H1-H5 premises remain. This does not claim to exceed the larger numerical headlines of disputed donation overlays #3184/#3190/#3198/#3200/#3251; #3187/#3296 identify their operator objections.

Evidence

• Both credited exact moment engines accept the new endpoint, reject its successor and reject an extra unpaid rank-one/rank-48 child.
• Fresh unchanged 12-stage carried bootstrap: 47 strict outer constraints and four original controls pass.
• Fresh exact admitted modern outer checker: 63 strict rows and 17 original rejection controls pass; the unchanged independent balance derivation agrees.
• The baseline's ten receipt/invoice corruption controls pass. The complete newly regenerated scoped result matches RESULT.json.
• Actual direct verifier and Git-free read-only export pass under Python 3.12.6 and 3.14. Five real CLI controls reject source corruption, usage reclassification, a false public endpoint, a corrupted result and disabled assertions. Package metadata/source pins and staged whitespace checks pass.
• The generic launcher executed its scientific command successfully locally, then failed during Windows temporary-directory cleanup. No successful complete local launcher run is claimed; hosted exact-head checks are separate.

Reproduce:

python3.12 -B scripts/research_package.py --package research/coupled-cap740-grid35

Overlap, credit and next question

Base 6f100d4bb5083f8c35d96fd95a539811c62f245c, priority revision 6. Scope changes the independent-moment card to an explicit donor-requested strict refinement; more digits are not claimed as independent physical verification coverage. PR3143 refines T74; PR3135/PR3115 concern earlier T740 inventories. New queue checked through #3359, whose selected-word result is lower.

Credit Jeremy Diviney/PR3148, dcharb78/PR3133, Gonzalo Mier/PR3143, Nick Petalas, Marius-Paul Dumitrean, Jeremy Kothe, Mason Hale, Arham Tahir, Sagar Thakrar and the retained geometry/native/owner, moment, assembly, fine-prime, gauge-free, union, BIT and analytic lineage. Notices are retained by reference to unchanged sources. Prepared for dataisfire with substantial OpenAI Codex assistance; Apache-2.0. No human or proof-kernel review claimed.

A material gain still requires a cheaper causally legal changed interaction and its whole producer/consumer bill; see TASK.json and README's Open next questions.

Merge scope

One isolated research package; no shared scientific code, frozen evidence or selected result changes. Archive intake is separate from scientific admission.