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

Remark: Family 263. The ionization and generalized ionization conjectures

Family claims › Mathematical physics · lines 1746–1751

OpenAI@2026-10-07#rem:oai-263

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For the full nonrelativistic Coulomb model with two electron spin states, proves that a molecule with fixed nuclei of charges at least one and total charge strictly binds at most electrons. Neutral-atom first ionization energies and radii containing all but an expected half-electron have universal positive upper and lower bounds. The energy cost of removing electrons has Thomas–Fermi asymptotics as and ; neutral-atom outer radii have the corresponding iterated-limit asymptotics, taking first.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.

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