Repository navigation
Prove three-term transport rigidity for an eight-call address-twist pattern - #5490
Open
JoyboyBrian wants to merge 2 commits into
Open
JoyboyBrian wants to merge 2 commits into
JoyboyBrian wants to merge 2 commits into
Conversation
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
Add this suggestion to a batch that can be applied as a single commit.This suggestion is invalid because no changes were made to the code.Suggestions cannot be applied while the pull request is closed.Suggestions cannot be applied while viewing a subset of changes.Only one suggestion per line can be applied in a batch.Add this suggestion to a batch that can be applied as a single commit.Applying suggestions on deleted lines is not supported.You must change the existing code in this line in order to create a valid suggestion.Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be applied on multi-line comments.Suggestions cannot be applied while the pull request is queued to merge.Suggestion cannot be applied right now. Please check back later.
Closes the explicit three-contribution follow-up from Discussion4999 for a different first-order-feasible eight-call pattern: two J calls, three P_s and three D_s. A uniform rank-distance/syzygy proof forces active PBQ relative transports to coincide and leaves every diagonal target with mod2 rank at most one, for all m>=2, orders and odd-denominator rank-one frames.
The package includes an all-nonzero m3 first-order witness, 272,160 complete normalized GL2 local cases, 1,621 zero-reduction cases, 39 independent full sparse group-ring checks and an arbitrary-GL(V) boundary counterexample. Normal/optimized registered and Git-free replay, source-history/committed-byte and nine-file explicit-input export checks pass. Root independently reviewed the proof; this is not human or proof-kernel acceptance.
No arbitrary-eight-call classification, native tariff, full supplier or new kappa. Credit PR5003 Krzysztof Wójt, PR4953 JoyboyBrian, Cinna Davis/PR2110 and the retained register-model lineage. Prepared by JoyboyBrian with substantial OpenAI Codex assistance.
Canonical claim: #4999 (comment)