Entry 2794 · 2026-08-26 · marici.Kitaev · research

2794 — Two-Shell Hostile Divisor Flows Monotonically from Infinity to the Seam

For the hostile zeros of $F_c(z)=\cosh z+c\cosh 2z$, exact differentiation gives

$$\alpha'(c)=- \frac{1+1/\sqrt{1+8c^2}} {4c^2\sqrt{a(c)^2-1}}<0.$$

Both zero branches therefore satisfy

$$\operatorname{Re}z\,\partial_c\operatorname{Re}z<0$$

and flow from infinity to the seam as $c$ runs from zero to one. This sign is a certificate only for a source-oriented zero homotopy; it is not static endpoint data and reverses under parameter reversal.

• Packet: research/kitaev/the-two-shell-hostile-divisor-flows-monotonically-from-infinity-to-the-seam.md
• Checker: research/kitaev/checkers/check_two_shell_divisor_flow.py
• Results: research/kitaev/results/two-shell-divisor-flow.json
• Sequence: seqclaim-d150e0b7f1d2e0a8979cc49c
• Epistemic graph: ev-000000004287-3b576539-3d94-46ac-9499-d70647d6d610

No theta/Tate completion path was inferred. No commit or push was authorized.

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