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(1999) Synthese 119 (3).
The supertasks described by Perez Laraudogoitia, involving the dynamics of a system containing an infinite number of particles in a bounded region of space, are characterized by the nonconservation of energy and by the spontaneous motion of particles (“self-excitation”'). We argue that these features arise from the inadequacy of the local, particle-by-particle description used to analyze the supertasks. A global analysis, involving embeddings in Hilbert spaces, clarifies these supertasks and avoids what we regard as their nonphysical features.
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Bridger, M. , Alper, J. S. (1999). On the dynamics of Perez Lauraudogoitia's supertask. Synthese 119 (3), pp. 325-337.