Foundations of Physics

, Volume 45, Issue 5, pp 496–506 | Cite as

On the Atkinson–Johnson Homogeneous Solution for Infinite Systems

  • Jon Pérez LaraudogoitiaEmail author


This paper shows that the general homogeneous solution to equations of evolution for some infinite systems of particles subject to mutual binary collisions does not depend on a single arbitrary constant but on a potentially infinite number of such constants. This is because, as I demonstrate, a single self-excitation of a system of particles can depend on a potentially infinite number of parameters. The recent homogeneous solution obtained by Atkinson and Johnson, which depends on a single arbitrary constant, is only a particular case.


Supertasks Colliding balls Infinite systems 


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.BilbaoSpain

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