The density-one triangular lattice minimizes lower energy per particle among all locally finite planar configurations of centered-disk density one for every nonnegative completely monotone function of squared distance, including infinite-energy comparisons.
The density-one triangular lattice minimizes lower energy per particle among all locally finite planar configurations of centered-disk density one for every nonnegative completely monotone function of squared distance, including infinite-energy comparisons.
The density-one triangular lattice minimizes lower energy per particle among all locally finite planar configurations of centered-disk density one for every nonnegative completely monotone function of squared distance, including infinite-energy comparisons.
If correct, establishes universal optimality in the plane against nonperiodic configurations under a density condition.
Does the density-one triangular lattice minimize all completely monotone pair energies against planar configurations of the same density?
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OpenAI reports universal energy optimality of the triangular lattice
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