15 The Riemannian Geometry Corresponding to Coulomb Force

15 The Riemannian Geometry Corresponding to Coulomb Force

Bosley Zhang

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2026/04/13

1 mins read

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The Riemannian Geometry Corresponding to Coulomb Force

When two opposite charges produce attraction, the spacetime curvature is positive, corresponding to a spherical spacetime in Riemannian geometry.

When two like charges produce repulsion, the spacetime curvature is negative, corresponding to a saddle-shaped spacetime.

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I love science as much as art, logic as deeply as emotion.

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