For an infinite system of elastically colliding balls with finite total mass, global energy is not necessarily conserved and the dynamics is indeterminate.
Mind 22, 318-319 (1913); Thomson, J.: Tasks and Super-Tasks
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Nonconservation of Energy and Loss of Determinism I. Infinitely Many Balls
For an infinite system of elastically colliding balls with finite total mass, global energy is not necessarily conserved and the dynamics is indeterminate.