Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 216-02. Critical Center Magnetization in the Planar XY Model
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OpenAI@2026-10-07#rem:oai-p-216-02
Authors: OpenAI. Family 216.
Title: Critical Center Magnetization in the Planar XY Model.
Abstract: Assuming the stated critical-height, local-renormalization, and spin-field inputs from the companion papers, we determine the center magnetization of the planar XY model in a square with aligned boundary spins at its mass-defined critical threshold. As $n{}to{}infty$, the magnetization is $A_{{}mathrm{XY}}n{}{-1/8}({}log n){}{1/16}(1+o(1))$, where $A_{{}mathrm{XY}}$ is a finite, strictly positive model-specific constant.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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