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    $\begingroup$ For compact spaces, you get something more complicated than $\Delta x \Delta p \geq \hbar / 2$ indeed. $\endgroup$
    – Connor Behan
    Commented Jan 27, 2022 at 19:13
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    $\begingroup$ related/possible duplicate: physics.stackexchange.com/q/233266/50583 and its linked questions (note that the plane wave state discussed there is a momentum eigenstate in a finite universe, essentially) $\endgroup$
    – ACuriousMind ♦
    Commented Jan 27, 2022 at 19:17
  • $\begingroup$ @ACuriousMind could you, if possible, dumb down the mathematics in that thread for me please? $\endgroup$
    – Midovaar
    Commented Jan 27, 2022 at 21:50
  • $\begingroup$ Without the technicalities I don't know what to say except "the HUP you're thinking of does not actually hold for states with definite momentum in a finite universe". $\endgroup$
    – ACuriousMind ♦
    Commented Jan 27, 2022 at 22:57
  • $\begingroup$ @Acuriousmind ok. I understand it's sometimes difficult to explain things in everyday language without diluting the science too much. Anyway thanks. $\endgroup$
    – Midovaar
    Commented Jan 27, 2022 at 23:40