Advertisement

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
Article
  • 128 Downloads

Abstract

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.

Keywords

Supertasks Colliding balls Infinite systems 

References

  1. 1.
    Atkinson, D.: Losing energy in classical, relativistic and quantum mechanics. Stud. Hist. Philos. Mod. Phys. 38, 170–180 (2007)CrossRefzbMATHGoogle Scholar
  2. 2.
    Atkinson, D., Johnson, P.: Nonconservation of energy and loss of determinism I. Infinitely many colliding balls. Found. Phys. 39, 937–957 (2009)CrossRefADSzbMATHMathSciNetGoogle Scholar
  3. 3.
    Laraudogoitia, J.P.: A beautiful supertask. Mind 105, 81–83 (1996)CrossRefMathSciNetGoogle Scholar
  4. 4.
    Laraudogoitia, J.P.: Supertasks, dynamical attractors and indeterminism. Stud. Hist. Philos. Mod. Phys. 38, 724–731 (2007)CrossRefzbMATHGoogle Scholar
  5. 5.
    Lee, Ch.: Nonconservation of momentum in classical mechanics. Stud. Hist. Philos. Mod. Phys. 42, 68–73 (2011)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.BilbaoSpain

Personalised recommendations