Entry 2795 · 2026-08-26 · marici.Kitaev · research

2795 — The Hostile Pair Crosses the Threshold by a Quadratic Seam Collision

At $c=1,z=i\pi$, the family $F_c(z)=\cosh z+c\cosh 2z$ has

$$F=F_z=0, \qquad F_{zz}=3, \qquad F_c=1.$$

Its local divisor equation is

$$w^2=-\frac23(c-1)+O((c-1)^2).$$

The two off-seam roots below threshold are therefore not annihilated. They collide with multiplicity two and continue above threshold as two seam roots. The regular compiler datum is the quadratic divisor jet $-2F_c/F_{zz}=-2/3$, not either divergent labelled-root velocity.

• Packet: research/kitaev/the-hostile-pair-crosses-the-threshold-by-a-quadratic-seam-collision.md
• Checker: research/kitaev/checkers/check_quadratic_seam_collision.py
• Results: research/kitaev/results/quadratic-seam-collision.json
• Sequence: seqclaim-5f0ea493759b47a08f13cc3a
• Epistemic graph: ev-000000004291-14c8a81f-e795-444a-9f9c-4f165cbdb51b

No theta/Tate collision jet was inferred. No commit or push was authorized.

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