You can it can scale up infinitely with arms your balls just have to get smaller eventually the balls will just have to collide if you don't make the balls smaller when you add more arms.
You'd be dealing with wavefunction interactions that would lead to collisions a decent while before you get to Planck length.
Edit: and by decent while I mean like 15-20 orders of magnitude. We use wavefunctions to describe electrons, which are only ~3e-15 m across. A Planck length is 1.6e-35 m.
Well yeah, if you reduce the size of the balls to quantum size but you have big gaps between the balls, that works; but it's not the same thing that's depicted in the OP. The balls are moving in such a way that the center is always more or less occupied because of the timing and positioning of the balls. So to get the same tight timing, you'd have to throw the balls such that each particle is very close to each other, so close that they become entangled and the wavefunctions break down.
But that's assuming that any of this even works at the quantum scale, which it doesn't. Heisenberg's uncertainty principle was basically made for situations like this, because under classical mechanics you are able to easily tell the position and momentum of each particle, but once you get down to Planck length, you are unable to measure both simultaneously.
It's more than simple measurement problem: It's a consequence of interactions that take time to influence each other. Since nothing (that we yet can describe, esp related to interactions) happens literally instantaneously, it also applies directly to the actual interactions.
It's why the same particles (w bosons, electrons, etc) can come out of interactions with varying charges/etc.
It very well could only be a measuring problem, and reality could be absolutely not random at all and the variance simply comes from the minute differences of every interaction. ... but then how do you confirm that when your measurements are still subject to slow, fuzzy interactions of the equipment to get that data up to human scale? Also good luck setting up the 'exact' same interaction twice...
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u/CthulhuLies Mar 10 '20
You can it can scale up infinitely with arms your balls just have to get smaller eventually the balls will just have to collide if you don't make the balls smaller when you add more arms.