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Rotation about z-axis of spherical contained condensate

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Wouldn't a spherically contained bose-einstein condensate, rotated about the z, or up and down axis form tori, first by forming vertical vortices, and due to centripetal acceleration cause the up and down vortices to oscillate. Where several neighboring vortices cross around a central up and down vortex, in a small section of the up and down, their intersection would form a torus, with smaller vortex threading through it. As well, couldn't they form on a bias around a central, so the tori can as well propagate along curves deviating away from the up and down direction. You can consider a cross section of a vortex to be the 2d cross section of a 3d horn torus, although these would form 3d tori.

Edited by t686

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