The Maxwell Conjecture Is False (GPT 5.6 Sol)
A configuration of five point charges in Euclidean space demonstrates that the electrostatic potential can have at least 24 non-degenerate critical points. This finding disproves Maxwell's conjecture, which states that the field of \(n\) point charges can have at most \((n-1)^2\) non-degenerate critical points.
arxiv.org
1 min
10h ago
The Maxwell Conjecture Is False (GPT 5.6 Sol)
A configuration of five point charges in Euclidean space demonstrates that the electrostatic potential can have at least 24 non-degenerate critical points. This finding disproves Maxwell's conjecture, which states that the field of \(n\) point charges can have at most \((n-1)^2\) non-degenerate critical points.
arxiv.org
1 min
10h ago
The Maxwell Conjecture Is False (GPT 5.6 Sol)
A configuration of five point charges in Euclidean space demonstrates that the electrostatic potential can have at least 24 non-degenerate critical points. This finding disproves Maxwell's conjecture, which states that the field of \(n\) point charges can have at most \((n-1)^2\) non-degenerate critical points.
arxiv.org
1 min
10h ago
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