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Nonconservation of Energy and Loss of Determinism II. Colliding with an Open Set
Foundations of Physics 40 (2):179-189 (2010)
Abstract
An actual infinity of colliding balls can be in a configuration in which the laws of mechanics lead to logical inconsistency. It is argued that one should therefore limit the domain of these laws to a finite, or only a potentially infinite number of elements. With this restriction indeterminism, energy nonconservation and creatio ex nihilo no longer occur. A numerical analysis of finite systems of colliding balls is given, and the asymptotic behaviour that corresponds to the potentially infinite system is inferredLinks
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Citations of this work
Satan, Saint Peter and Saint Petersburg: Decision theory and discontinuity at infinity.Paul Bartha, John Barker & Alan Hájek - 2014 - Synthese 191 (4):629-660.
Infinity and Newton’s Three Laws of Motion.Chunghyoung Lee - 2011 - Foundations of Physics 41 (12):1810-1828.
A Flawed Argument Against Actual Infinity in Physics.Jon Perez Laraudogoitia - 2010 - Foundations of Physics 40 (12):1902-1910.
References found in this work
The Dome: An Unexpectedly Simple Failure of Determinism.John D. Norton - 2008 - Philosophy of Science 75 (5):786-798.
Losing energy in classical, relativistic and quantum mechanics.David Atkinson - 2006 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (1):170-180.
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