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

Remark: 268-01. The periodic spin-one Haldane gap

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OpenAI@2026-10-07#rem:oai-p-268-01

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Authors: OpenAI. Family 268.

Title: The periodic spin-one Haldane gap.

Abstract: We prove a uniform positive spectral gap for the pure antiferromagnetic spin-one Heisenberg chain on even periodic rings, establishing the positive even-periodic formulation of the spin-one Haldane conjecture.

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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