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Sure, there is always a possibility of return, at least on a 2d plane (not 3d), but still mathematics will have to be revoked to favor low probability macrostates. Certainly an ambituous goal!


I think you might be confusing this with the 2D/3D random walk in a discrete infinite space?

Poincaré recurrence is about exhausting the phase space in (discrete or continuous) bounded systems.


That's not what that theorem says. It says that there's a guarantee of return, eventually.




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