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

Remark: 237-06. Cylinder amplitudes and logarithmic bridge-length windows on the honeycomb lattice

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Authors: OpenAI. Family 237.

Title: Cylinder amplitudes and logarithmic bridge-length windows on the honeycomb lattice.

Abstract: We prove a logarithmic window of critical honeycomb bridge lengths: summed through height $2h({}log h){}{1/64}$, bridges of lengths between $h{}{4/3}({}log h){}{-1/8}$ and $2h{}{4/3}({}log h){}{1/2}$ have mass at least $h{}{3/4}({}log h){}{-C}$.

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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