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Discrete Dynamics in Nature and Society
Volume 2004 (2004), Issue 1, Pages 35-49
http://dx.doi.org/10.1155/S1026022604312057

Relativity and irreversibility

1Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki 54124, Greece
2Chaos and Innovation Research Unit, Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki 54124, Greece
3International Solvay Institutes for Physics and Chemistry, ULB Campus Plaine, CP 231, Boulevard du Triomphe, Brussels 1050, Belgium
4Center for Studies in Statistical Mechanics and Complex Systems, The University of Texas at Austin, Austin, Texas 78712, USA
5Institute for High Energy Physics, Protvino, Moscow 142284, Russia

Received 15 December 2003

Copyright © 2004 Hindawi Publishing Corporation

Abstract

The Lorentz transformation is extended to the decaying states in a relativistic model of interacting fields. The nonlocal action is defined beyond the Hilbert space. This shows that irreversible extensions of dynamics of Poincaré nonintegrable systems are compatible with relativity.