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Casimir Interactions from Infinite Range and Dilation Symmetry

Casimir Interactions from Infinite Range and Dilation Symmetry

The Casimir interaction energy for a class of discrete self-similar configuration of parallel plates is evaluated using existing methods. The similarities to characteristics of an attractive Casimir force is deduced only at infinite range of configuration. Further, the emergence of Casimir-like energy is qualitatively described for a Gaussian model of …