Asynchronous whole-owner replicas: kappa 0.001357701757628940 (+1.9236% over #496)

[Dugongue]

Result and scope

This adds a new asynchronous replica schedule giving conditional kappa = 0.001357701757628940 (67885087881447/50000000000000000), 1.923642% above #496. The complex supplier is b = 0.001359547617819233570818. The unchanged #493 bit supplier is c = 0.001565442026981656908596 and is nonbinding.

The inherited all-size compiler, mutable-basis/common-label, #484 Lemma A realization, restored-row, precision/tape, and analytic-transfer contracts remain explicit. This is a checked finite derivative under those conditions, not an unconditional multiplication theorem. #494's larger computation uses a different disputed split-residual interface and is not claimed surpassed.

New mechanism

Remove replica lockstep while keeping every complete local invocation atomic. Shuffle the eight nine-stage controllers by (stage + 3*replica/7, stage, replica), preserving every replica's exact local, bridge, idle-completion and terminal order. Whole helpers may borrow pending coordinates from a different replica according to that owner's actual last touch and deadline.

This opens4,539 same-pair/different-replica uses that the stage-only test rejects. Each helper still has exactly one whole physical owner; all 800 families per invocation are distinct. Each borrowed spectator is restored before the next complete invocation. Disjoint residual blocks plus an explicit remainder reproduce each original pending child. No gains are added numerically and no cross-family residual split is used.

The local gauge80-kernel42 word is unchanged. All40,320 helper roles fit within7,680 live families (8,258 physical). The changed profile is {1:148240,2:66816,3:7032,4:19728,5:26109,6:144,7:2209,8:1224,16:1,48:408}, with rank mass 558,144 and deficit 2,496. The maximum child 48 retains depth2 because73^2>2*48^2.

The prefix is freshly recounted:72 local sweeps and 72 individual bridge sweeps give 205bits;512 are charged, with an extra2*512 in the two-level row bill. The row coefficient is16,467<20,161. Both exact moment engines include the inherited bad-cover fallback. Six bootstrap steps feed the strict47-inequality assembly; the next kappa grid point and zero-eta/zero-beta/unit-beta controls are rejected.

Reproduction

Added folder: research/asynchronous-whole-owners.

python -B research/asynchronous-whole-owners/verify.py --work /absolute/path/to/new-output

Python3.11+ standard library only; offline; no optimizer or compiler required. This reconstructs the parent local dependency, emits the asynchronous template, independently audits all physical owner charts and exact phase/event projections, checks19 deliberately broken controllers, and recomputes the full changed finite invoice and exact assembly. The frozen witness replaces all search-time MILP assumptions. The unchanged #493 bit operator is cited as a pinned dependency; its published profile is repriced here, but its operator is not redundantly reverified.

The serialized version explicitly restricts replica-local events to their named replica. An old decoder that ignores these new fields cannot interpret this template. Two final whole-stock events run only once.

Sources and what this combines

• Conditional κ = 0.001332077359286333: pooled whole-owner complex supply #496: direct whole-owner pooled parent, matching construction, independent audit and assembly ancestry; pinned 00cf70efd6a8637531deafef698157ca83e249ee.
• Complex supplier b ≈ 1.327·10⁻³ (+4.7%) on whole-residual hosting: shared-donor kernel and entrance gauges with paid residual wrappers (conditional on two lemmas) #484: unchanged gauge80-kernel42 scalar word, exact phases and paid spectator wrappers; use Conditional κ = 0.001332077359286333: pooled whole-owner complex supply #496's pinned 035845ce95f31d0a2dcfb42b8c8e13411271fa5f.
• Conditional κ = 0.001303530097714685: an E8 bit word with 489 helpers, sources as carriers (0.001325 with #484's draft complex supplier) #493: unchanged R489 source-as-carrier bit supplier, pinned c3a9a436b84fe44fdc223a5784d84736d1c2d3c7.
• Conditional κ = 0.001274032589159993: complex kernel with paid residual adapters #458 and Conditional κ ≈ 1.2375517e-3: idle-axis hosting of helper residuals (+9.2% over #434) #442: whole-owner residual hosting, spectator discipline and integer allocation ancestry. Conditional κ = 0.001325117552367841: moment-directed complex hosting #497 motivates attention to moment-aware placement, but none of its gains is added to ours.
• Split centres and source-basis reuse for conditional κ = 0.001120864952258278 #433, κ = 1.048005508028206e-3: mutable-basis Hamming packets (≈2^-9.89814; conditional; complex +4.97%) #425 and κ = 8.75481145306751e-4: first E8 bit word (complex-bound; +9.29% over #352) #370: inherited complex word, scalar/common-frame machinery and E8/Hamming geometry. Conditional kappa 0.001249035299298004: hosting-selected rank147 kernel #434/E8 bit supplier c ≈ 1.044064·10⁻³ in the nine-stage word (+2.2 % bit cap; no new κ, complex-bound) #417/κ = 0.001128832830332521: #417's shared-donor kernel on #433's R758 bit word (+0.71%) #435/κ = 1.136403735815528e-3: R740 shared-donor kernel with 57 primitive frame changes #440 and research: response-subspace gauges and two-sided normalization, kappa = 1.013310887459710e-3 #401/κ = 1.017022657082799e-3: 205 shared-donor gauges with 64-replica banks #408-416: kernel and gauge ancestry through Complex supplier b ≈ 1.327·10⁻³ (+4.7%) on whole-residual hosting: shared-donor kernel and entrance gauges with paid residual wrappers (conditional on two lemmas) #484. Conditional κ = 8.04849251275843·10⁻⁴: post-Design-T kernel, retiming and reorders on #357's reordered base word with all 471 twins (+0.0679 % over #359) #361/Conditional κ = 7.64230861320245e-4: the paired-cube bit word at cube size p = 10 (h = 20, m = 100), with a new centre-sharing complex supplier (+1.21% over #314) #315: exact moment and outer arithmetic ancestry.
• OpenAI math snapshot adc7f1241b42e322a6451854ab7e4b4c146bf78a: WordScheduling.lean substitution/product calculus helped formulate the complete-call scheduling proof; CommonBases.lean and the common-integer-polymatroid material motivated the capacity-exchange search. SparseShear.lean and PivotJoin.lean supported separately documented screens. These are precise inspirations/adaptations, not claims that Lean already proves this new compiler instance.

Retained research

PROOF.md and SCHEDULING-LEMMA.md give the sufficient composition argument. ADVERSARIAL-REVIEW.md checks bridge-sensitive intervals and explicit event semantics. RESEARCH.md records the positive scheduling route and the matroid-component, joint gauge/kernel, sparse-shear and retiming searches, distinguishing checked local identities from failed global improvements. Exact source hashes and frozen witnesses are included for future workers. No optimality or exhaustive impossibility claim is made.

Public snapshot frozen through #497 before packaging. No claim of freshness beyond that snapshot.

[Mister-Meeseeks]

Thank you @Dugongue. This contribution is now retained on main in the scoped 100-PR review and contributor credits.

Contribution: Asynchronous scheduling of complete whole-owner invocations.

Review and limits: Each replica's local order and owner deadlines remain fixed; spectators are restored between calls. No residual is split and no general scheduling optimum follows. Missing metadata pin repaired on a copy; adapter JSON line endings explain the template pin exactly, and dependent emitters/audits reproduce every original expected value.

The complete original source, notices and relevant execution evidence are retained through the pinned source archive. The review distinguishes fresh local runs, source-bound historical Linux CI and prior exact-head review; it does not claim 100 fresh full mathematical audits. Closing this historical PR as reconciled. This preserves parallel and cumulative credit without replacing the selected frontier or promoting priced research targets to completed constructions.

Reviewed head: 4ee769c8e28837482272b5f4742497da8e2fc9d4. Publication: 64039f1bd3b6a523b96083fd858ad040a75e3030.