Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 215-02. An Isolated Particle Pole for the Two-Dimensional O(3) Spin Field

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Authors: OpenAI. Family 215.

Title: An Isolated Particle Pole for the Two-Dimensional O(3) Spin Field.

Abstract: We consider the continuum spin field constructed from the nearest-neighbor two-dimensional $O(3)$ model by the fixed prescription of the companion paper. We prove that its vector two-point spectral measure has a positive atom corresponding to the lowest mass, separated by a positive gap from all remaining mass support.

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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