Remark: Family 355. Unique tangent flows at the first surface singularity

Proves the first-singular-time case of tangent-flow uniqueness for smooth compact connected embedded surfaces without boundary in ${\mathbb{R}}^3$. At every singular point, all fixed-center backward tangent flows agree as area measures at every negative time in the original ambient coordinates, without mean-convexity or a prescribed tangent model.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.