Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 228-02. A radial continuum phase transition with algebraic decay
Manuscript map · lines 6765–6774
OpenAI@2026-10-07#rem:oai-p-228-02
Authors: OpenAI. Family 228.
Title: A radial continuum phase transition with algebraic decay.
Abstract: We construct a bounded, continuous, stable radial pair potential in three dimensions with $|{}phi(r)|{}le Cr{}{-3-1/32}$ for r ≥ 1. Throughout an open interval of positive densities, its canonical thermodynamic free energy is finite at every positive inverse temperature and has a strict downward derivative jump at one common finite positive inverse temperature.
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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