It's a little hard to explain, but we may have actually proved the existence of a fourth spatial dimension (i.e., not time). Sorry, Susan Foreman.
Ironically, you demonstrate the existence of the fourth dimension by restricting electrons to movement in two dimensions. It has to do with quantum effects and magnetic fields. If you understand it better than me, give it a go.
No practical uses yet except that it may explain the behavior of quasicrystals in metal alloys - and it may eventually allow us to access properties of certain metals we haven't touched yet.
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