Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 275-02. QMA-hardness of continuum Coulomb energy with unit nuclear charges
Manuscript map · lines 7985–7994
OpenAI@2026-10-07#rem:oai-p-275-02
Authors: OpenAI. Family 275.
Title: QMA-hardness of continuum Coulomb energy with unit nuclear charges.
Abstract: We prove that approximating the electronic ground-energy infimum for clamped unit-charge nuclei is QMA-hard on the full spinful fermionic continuum space. A deterministic classical polynomial-time reduction produces polynomially many nuclei at distinct rational positions and polynomially many electrons, with polynomial rational bit lengths and threshold separation at least one. No orbital basis, magnetic field, or additional external potential is supplied, and no binding assumption is imposed.
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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