The VAK of vacuum fluctuation, spontaneous self-organization and complexity theory interpretation of high energy particle physics and the mass spectrum

The paper is a rather informal introduction to the concepts and results of the E-infinity Cantorian theory of quantum physics. The fundamental tools of complexity theory and non-linear dynamics (Hausdorff dimensions, fat fractals, etc.) are used to give what we think to be a new interpretation of high energy physics and to determine the corresponding mass-spectrum. Particular attention is paid to the role played by the VAK, KAM theorem, Arnold diffusion, Newhaus sinks and knot theory in determining the stability of an elementary "particle-wave" which emerges in self-organizatory manner out of sizzling vacuum fluctuation. © 2003 Elsevier Science Ltd. All rights reserved.