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Opposites Attract: A Theorem about the Casimir Force

Opposites Attract: A Theorem about the Casimir Force

We consider the Casimir interaction between (nonmagnetic) dielectric bodies or conductors. Our main result is a proof that the Casimir force between two bodies related by reflection is always attractive, independent of the exact form of the bodies or dielectric properties. Apart from being a fundamental property of fields, the …