Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 228-01. A continuum temperature singularity for a radial pair potential
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OpenAI@2026-10-07#rem:oai-p-228-01
Authors: OpenAI. Family 228.
Title: A continuum temperature singularity for a radial pair potential.
Abstract: We construct a stable radial pair potential in three dimensions whose canonical free energy has a strict downward derivative jump at one common finite positive inverse temperature throughout an open interval of positive densities. The potential has a divergent repulsive core, a nontrivial attractive interval, and an integrable tail satisfying ${}phi(r)=o(r{}{-3})$. Its free-cube canonical free energy is finite at every positive inverse temperature and density.
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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