Candidate conditional kappa 0.001017671197486403: enlarged entrance spaces

[rohanarun]

Draft numerical candidate: conditional κ = 0.001017671197486403 (1017671197486403/1000000000000000000), +0.04135624% over #409.

Frontier update: concurrent #412 reports conditional κ = 0.001017776060460931, above this candidate. Its own body leaves changed phases, fused routing and invoices re-opened. This draft is therefore not advertised as the current numeric winner.

Enlarge seven read-only entrance spaces from dimension four to five and relocate their literal shears. The 204 gauges and 535 entrance gates remain; exact local delta is {1:+34,2:-23,3:-3,4:+1,5:+2}, reducing rank mass by seven. Full raw equality is verified after reordering; no blanket commutativity assumption is used.

Passed before draft submission: all 1021 raw input columns and retained totals; every actual nested path; all gauged zero-response columns; chronological source-read-before-write premise; seven old-frame controls and one coefficient-flip control; exact packing inventory; two rational moment engines and all 47 strict outer inequalities. All 127 nonempty subsets of seven admitted moves are retained, including losing alternatives.

Pending: both formal entrance-chart orientations, changed Gaussian phases, actual global owner/padding assembly and independent decoder, regenerated finite invoice/bridge, fresh bit composition and full Python3.11/3.14 wrapper. This is a price-only candidate, not yet a fully admitted finite improvement. Submitted as a draft first as requested; CI retains failures.

Packing:64 replicas,5887 banks per stage,2999 rank-one pads,live114423,physical115214. Exact complex lower:509353953591097004419/500000000000000000000000; unchanged bit lower:255384852701747/250000000000000000.

Run python -B research/e8-enlarged-entrances/verify.py /tmp/enlarged-entrances. It freshly replays the full #409 wrapper, this changed construction and fresh bit composition. The six pinned package manifests are checked before and after.

Parent #409's local full attempt passed its rebuilt baseline and changed build, then failed linking the final bit checker with errno=28 (No space left on device); its separate fresh bit replay passed. Parent CI was queued at submission. These are distinct from a completed full-wrapper pass.

Finite conditional scope only: inherited all-size window, dirty-bank, compiler, fixed-tape, restored-row, common-grid, precision and analytic interfaces remain assumptions. The unchanged legacy gx/gxcore pipeline still rejects this lineage's inherited target overlap/fixed-sixths intermediate restrictions; exact chronological target replay and the dyadic/divisor3 framework are the stated broader conditions. No unconditional exponent improvement or Lean certificate is claimed.

Prepared by Rohan Arun with substantial OpenAI Codex assistance. Credit #409/#406, Dugongue #404/#401, chafreaky #402, applecrusher #376, #403's bank assembly and the earlier E8 lineage. Apache-2.0; original notices retained. Parent head:212e03d7665d08fc6a037d3e33612cb7fc60874d.

Post-submission local update: the unchanged PR409 local admission passes on this new word: both complete formal dirty entrance orientations, scalar expansion/private erasure, all chronological omission checks and 836 new/reflected Gaussian phase pairs. The full packaged changed build has now also passed: construction, local admission, phases, actual64-replica assembly, independent owner/padding decoder, finite invoice/bridge and exact outer assembly. Receipt status: PASS_ENLARGED_ENTRANCES_LOCAL_PHASES_TEMPLATE_INVOICE_AND_PRICE. Invoice local bound 7850012378156, per-vertex bound 5021683376523255, row 15451. Fresh bit at this candidate and the uninterrupted full wrapper/CI remain pending.