The VAK of vacuum fluctuation: Spontaneous self-organization and complexity theory interpretation of high energy particle physics and the mass spectrum
The author presents a summary of the concepts and results of the \(E\)-infinity theory. This theory assumes that quantum space-time is an infinite-dimensional hierarchical Cantor set and that the stationary quantum states are given by the vague of Kolmogorov (VAK). The limit set of the VAK is intimately related to the limit set of the Möbius-Klein transformation of the space and may be described as a chaotic dynamical state with a highly nonlinear wild topological structure ramifying at a Cantor set with a Hausdorff dimension related to the golden mean.
scientific article; zbMATH DE number 2077415