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To my (very limited) knowledge, physical systems (fluids, for example) can't have jump discontinuities.

Why? Which fundamental laws can this be derived from, if any?

This question is related to Is spacetime discrete or continuous? and perhaps the answers are connected, but I'm not confident that not everywhere discrete implies not discontinuous anywhere.

jhch
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    Related: https://physics.stackexchange.com/q/1324/2451 , https://physics.stackexchange.com/q/261340/2451 and links therein. – Qmechanic May 08 '18 at 15:54
  • The continuity of physical systems applies only to the scales we perceive. At smaller scales we know it breaks down when individual atoms and molecules come into play. At even smaller (Planck) scales we can't really imagine continuous systems. – Lewis Miller May 08 '18 at 15:58
  • @Qmechanic Thank you! I'm apparently very bad at searching for the right things on SE... Those answer my question quite well! – jhch May 08 '18 at 15:58

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