Skip to content

The translated Schur diagonals are positive and at most 1 (no new κ) - #4309

Merged
Mister-Meeseeks merged 1 commit into
CrocSwap:mainfrom
jwr404:research/gaussian-origin-diagonals
Oct 21, 2026
Merged

Mister-Meeseeks merged 1 commit into
CrocSwap:mainfrom
jwr404:research/gaussian-origin-diagonals

Conversation

@jwr404

@jwr404 jwr404 commented Oct 21, 2026

Copy link
Copy Markdown
Contributor

Summary

  • At p=19, beta0=-1/2, bandwidth 2, and t_i=i, all six Schur diagonals on survivors 0,1,2,7,8,9 are strictly positive and at most 1.
  • Vertices 0 and 9 do not meet the interior, so those diagonals are exactly 1. The corrections at 1 and 8 lie strictly between 1/10^99 and 1/10^98. The corrections at 2 and 7 lie strictly between 1/10^25 and 1/10^24.
  • No new kappa is claimed. The selected record is unchanged. This is one Schur section, not a proof that the reference matrix has diagonal 1 after every elimination.

Test plan

  • python3.12 -I -B research/gaussian-origin-diagonals/verify.py
  • python3.12 -B scripts/research_package.py --package research/gaussian-origin-diagonals
  • Maintainer replay of the registered package

Made with Cursor

…st 1.

Co-authored-by: Cursor <cursoragent@cursor.com>
@Mister-Meeseeks
Mister-Meeseeks merged commit 21be39f into CrocSwap:main Oct 21, 2026
2 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