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if it wasn't for some energy losses, there would be about infinite clicks before it stops
True... But one of those "energy losses" is producing the sounds itself. So theoretically if you play with them in a vacuum without gravity, they will bounce forever but produce no sound (no air to carry the waves anyway).
there will be some heat produced.
but it's a real physical representation of a supertask https://en.m.wikipedia.org/wiki/Supertask
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