Skip to content

[K3] Reduce 433-1b cell 11 to an exact compact tower - #1154

Open
scottdhughes wants to merge 7 commits into
przchojecki:mainfrom
scottdhughes:scott/kb-k3-433-cell11-compact-tower
Open

[K3] Reduce 433-1b cell 11 to an exact compact tower#1154
scottdhughes wants to merge 7 commits into
przchojecki:mainfrom
scottdhughes:scott/kb-k3-433-cell11-compact-tower

Conversation

@scottdhughes

Copy link
Copy Markdown
Contributor

Summary

This stacked K3 packet turns the public 433-1b cell-11 pivot pilot into an exact guarded compact presentation over F_2130706433.

The public pilot records quotient_exact=false at every pivot, so its original nine-generator projection cannot support a closure argument. This packet keeps that negative fact explicit and supplies a replacement at source sign epsilon=(-1,-1), pivot 1:

  • three reduced three-equation towers, each reproducing all eight common-locus equations exactly;
  • an exact classification of both leading-coefficient boundary ideals on the selected chart, with no deployed-field point;
  • a primitive eight-coordinate coefficient kernel whose ten Vieta row products all reduce to zero;
  • a canonical source-pinned certificate and 16 mutation tests.

The selected c_row=5 tower has basis size 43. Its two boundary quartics each factor as one linear factor times an irreducible cubic; at the unique deployed r lift, the induced quadratic in b has a nonsquare discriminant. Sage and Wolfram independently reproduced these finite-field checks.

Status and scope

This is deliberately EXPERIMENTAL_REVIEW_REQUIRED / YELLOW. It is PR-worthy structural progress toward the sole remaining exported role orbit [11], but it does not compute the complete signed-pair resultant, establish sign or outside-role transport, perform labeled add-back, project to distinct affine slopes, move a v4 ledger atom, or close K3.

The packet is stacked on #1153, which is stacked on #1152. It does not duplicate another open cell-11 PR.

The falsified FLOOR-v2 random-word first-moment route is not used. No bound for the exact sparse-layer maximum S_sparse is claimed.

Validation

python3 -m py_compile <both new scripts>                     PASS
full local SymPy/Singular replay                            PASS
certificate assembly and verification                      PASS
16/16 hostile mutations rejected                           PASS
second deterministic raw replay (identical SHA-256)        PASS
Sage quartic factorization and nonsquare replay             PASS
git diff --check                                            PASS

Fresh independent review is still required before using this packet in a cell-11 orbit closure.

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