Rotation in a rotating superfluid

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Hornbein
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Suppose you have a body floating in a rotating superfluid. Maybe a speck of dust. Would it rotate?

What if you have two bodies connected in some way. Would this system rotate around its center of mass?
 
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No, it would not rotate. Being immersed in a superfluid is equivalent to being immersed in vacuum. The law of inertia applies (as long as the relative velocity between the superfluid and the external object is below the critical velocity). While the superfluid exerts a force on one side of the object, the superfluid flow surrounds the object and applies an exact opposite force on the other side of the object (it doesn't matter what the shape of the object is). In other words, as it is impossible to swim in the vacuum, it is also impossible to swim in a superfluid.
 
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