OPPOSITES ATTRACT: A THEOREM ABOUT THE CASIMIR FORCE

00:00 05-09-2006

We consider the Casimir interaction between (non absorb- ing) 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 theorem and it's corollaries also rule out a class of suggestions to obtain repulsive forces, the most well known of these being the two hemisphere repulsion suggestion and its rela- tives.

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