Losing energy in classical, relativistic and quantum mechanics

A Zenonian supertask involving an infinite number of colliding balls is considered, under the restriction that the total mass of all the balls is finite. Classical mechanics leads to the conclusion that momentum, but not necessarily energy, must be conserved. Relativistic mechanics, on the other hand, implies that energy and momentum conservation are always violated. Quantum mechanics, however, seems to rule out the Zeno configuration as an inconsistent system.
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DOI 10.1016/j.shpsb.2006.06.002
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Chunghyoung Lee (2011). Nonconservation of Momentum in Classical Mechanics. Studies in History and Philosophy of Science Part B 42 (1):68-73.
Jon Perez Laraudogoitia (2008). Energy Conservation and Supertasks. Studies in History and Philosophy of Science Part B 39 (2):364-379.
Jon Pérez Laraudogoitia (2007). Supertasks, Dynamical Attractors and Indeterminism. Studies in History and Philosophy of Science Part B 38 (4):724-731.

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