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

Relativity and irreversibility

I. Antoniou,1 E. Karpov,2,3 I. Prigogine,3,4 and G. Pronko2,5

 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 78712, Texas, USA
5Institute for High Energy Physics, Protvino, Moscow 142284, Russia
Received 15 December 2003

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.