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The collapse of supertasks

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arxiv 1309.0144 v1 pith:FR2D34RH submitted 2013-08-31 physics.hist-ph gr-qc

classification physics.hist-phgr-qc
keywords supertaskscollapsesupertaskactionsattemptblackcarryconsists
verification ladder T0 review T1 audit T2 compute T3 formal
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A supertask consists in the performance of an infinite number of actions in a finite time. I show that any attempt to carry out a supertask will produce a divergence of the curvature of spacetime, resulting in the formation of a black hole. I maintain that supertasks, contrarily to a popular view among philosophers, are physically impossible. Supertasks, literally, collapse under their own weight.

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