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[1] viXra:0710.0001 [pdf] submitted on 4 Oct 2007

Bifurcations and Pattern Formation in Particle Physics: an Introductory Study

Authors: Ervin Goldfain
Comments: recovered from

Quantum field theories, regardless of their content, lead to a finite or infinite number of coupled nonlinear field equations. In general, solving these equations in analytic form or managing them through lattice-based computations has been met with limited success. We argue that the theory of nonlinear dynamical systems offers a fresh approach to this challenge. Working from the universal route to chaos in coupled systems of differential equations, we find that: a) particles acquire mass as plane wave solutions of the complex Ginzburg-Landau equation (CGLE), without any reference to the hypothetical Higgs scalar; b) the and gauge groups, as well as leptons and quarks, are sequentially generated through period-doubling bifurcations of CGLE
Category: High Energy Particle Physics