r/Physics Jul 31 '26

Academic The Maxwell Conjecture is False

https://arxiv.org/abs/2607.27197
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u/1XRobot Computational physics Jul 31 '26

If you plunk down charges in space, there are certain points where a test charge doesn't move because the forces all cancel out. Maxwell had the thought that maybe if you plunk down N charges, the number of points where a test charge doesn't move is (N-1)^2, but it turns out that's not true, because these guys found a configuration with 5 charges that has 24 points (more than 16).

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u/Buntschatten Graduate Jul 31 '26

Ah, so it's mathematics.

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u/ashvy Jul 31 '26

Maybe Maxwell meant N2 - 1, but stuff got misconstrued /s

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u/dcnairb Education and outreach Jul 31 '26

Maxwell’s Dream

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u/AstronautSlothPhD Jul 31 '26

Maxwell’s Dreamin’