Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 217-02. The low-temperature Sherrington–Kirkpatrick fluctuation scale
Manuscript map · lines 6395–6404
OpenAI@2026-10-07#rem:oai-p-217-02
Authors: OpenAI. Family 217.
Title: The low-temperature Sherrington–Kirkpatrick fluctuation scale.
Abstract: For the zero-field Gaussian Sherrington–Kirkpatrick model at every fixed inverse temperature β > 1, we prove that the standard deviation of the log partition function is $n{}{1/6+o(1)}$. The same exponent describes its typical centered absolute fluctuations, establishing the predicted one-sixth exponent in this regime.
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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