Skip to content

Research note: bounded 112-port transvection boundary census - #2078

Merged
Mister-Meeseeks merged 1 commit into
CrocSwap:mainfrom
1337isnot1337:research/cycle-20261014-t
Oct 15, 2026
Merged

Mister-Meeseeks merged 1 commit into
CrocSwap:mainfrom
1337isnot1337:research/cycle-20261014-t

Conversation

@1337isnot1337

Copy link
Copy Markdown
Contributor

Result

Adds a bounded negative result for the selected pair-0 stage-0 forward / stage-1 backward boundary. Across all 112 pinned port pairs, the verifier checks every directed coordinate transvection T_ij = I + E_ij on F_2^9:

  • Each port has compatible maps: 77 ports have 6 and 35 ports have 42, for 1,932 incidences.
  • No one coordinate transvection works at every port.
  • RESULT.json records the exact per-port candidate sets.

The profile-only cost screen grants the mechanism two deleted rank-one boundary transitions per port and charges one rank-one shear. The selected local rank-one count falls from 2,412 to 21,701/9 per call. Its exact a-ceiling rises from 1690054109089/10^15 to 338060003381/200000000000000 (0.01455%), weakening this bound. No new construction, legal composition, supplier integration, or kappa is claimed.

Reproduction

python3 -I -B research/rank1-transvection-boundary-seed0410/verify.py
python3 scripts/research_package.py --package research/rank1-transvection-boundary-seed0410 --check-only

Both the exact verifier and metadata/pin check passed locally on Python 3.14. The repository package runner requires Python 3.12, which is unavailable in this environment; no local registered replay or hosted-CI result is claimed. The PR workflow can run the declared Python 3.12 replay.

Scope and provenance

Seed 0410adea86dfbb7cdf86b46ba736e993, recursive-interfaces / persistent-boundary, priority revision 3, exact base e112d71c8d7bb32435debcc54df932593dd8223a. Full source pins, selected-record provenance, task card, result, and remaining obligations are in research/rank1-transvection-boundary-seed0410/.

This expands on the literal shared-axis test in Discussion #1986. PR #1155, PR #1930, PR #2060, and Discussion #2007 were checked and have distinct scopes; overlap refresh covered 350 open PRs and 729 discussions/comments with complete pagination and no warnings at 2026-10-14 18:49 UTC.

Substantial OpenAI Codex assistance is disclosed in TASK.json. Apache-2.0.

@Mister-Meeseeks
Mister-Meeseeks merged commit ae99797 into CrocSwap:main Oct 15, 2026
45 of 61 checks passed
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment

Labels

None yet

Projects

None yet

Development

Successfully merging this pull request may close these issues.

2 participants