Family hunt, phase 0: same-degree members and first measurements - #13
Merged
Conversation
…st measurements Question 4's completeness half is now actionable (arXiv:2608.00222 / Gallagher's atlas): the weighted-lift construction carries a moduli of members at each fiber degree. family_hunt.py builds two genuinely distinct n = 4 members exactly (atlas roots [0,-1,3,4] and the alternative endpoint-identity solution [0,-1,-2,3/2]), verifies the Keller property (det J == 1 identically, polynomial components), and measures: both attain the full fiber count 4 at their certificate targets, and both attain the same candidate n1 value set in an exact 80-point sweep -- so n1 does not visibly separate same-degree members and the hunt moves to n2. Caveat documented: counts are eliminant real-root counts pending per-member fiber determination (phase 1). Failure-loud, CI-smoked. Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
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
1 participant
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Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be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.
Opens the cross-family completeness campaign (report §IV.5, now actionable against the published families). Two genuinely distinct n = 4 Gallagher members built exactly and verified Keller; both attain the same candidate n₁ value set {0,1,2,4} (+3 at larger samples) and the full count at their targets — n₁ does not visibly separate same-degree members, so the invariant comparison moves to n₂. Caveat documented in the script: counts are eliminant-root counts pending per-member fiber determination (phase 1). CI-smoked.
🤖 Generated with Claude Code