> Seems pretty intuitive to me

OK, but it's nonsense. Apart from whatever-you're-talking-about-with-C, quantum fluctuations are not Brownian motion; Brownian motion is the visible effect of a lot of invisible particles interacting kinetically with macroscopic particles like dust, making those macroscopic particles appear to vibrate of their own accord. Atoms that cannot be seen in a microscope flying around in straight lines and randomly bumping into dust particles that can be seen.

https://en.m.wikipedia.org/wiki/Brownian_motion

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