Spatio-temporal Chaos and Vacuum Fluctuations of Quantized Fields

Abstract

We consider deterministic chaotic models of vacuum fluctuations on a small (quantum gravity) scale. As a suitable small-scale dynamics, nonlinear versions of strings, so-called `chaotic strings' are introduced. These can be used to provide the `noise' for second quantization of ordinary strings via the Parisi- Wu approach of stochastic quantization. Extensive numerical evidence is presented that the vacuum energy of chaotic strings is minimized for the numerical values of the observed standard model parameters, i.e. in this extended approach to second quantization concrete predictions for vacuum expectations of dilaton-like fields and hence on masses and coupling constants can be given. Low-energy fermion and boson masses are correctly obtained with a precision of 3-4 digits, the electroweak and strong coupling strengths with a precision of 4-5 digits. In particular, the minima of the vacuum energy yield high-precision predictions of the Higgs mass (154 GeV), of the neutrino masses (1.45E-5 eV, 2.57E-3 eV, 4.92E-2 eV) and of the GUT scale (1.73E16 GeV).

50 pages, 4 figures. This is the electronic version of preface, introduction, summary and bibliography of the book with the same title by C. Beck (World Scientific, Singapore, 2002)

References in corpus (8)

• Dynamical foundations of nonextensive statistical mechanics
• On the small-scale statistics of Lagrangian turbulence
• Statistical conservation laws in turbulent transport
• Nonextensive methods in turbulence and particle physics
• Chaotic strings and standard model parameters
• String and D-brane Physics at Low Energy
• Stable synchronised states of coupled Tchebyscheff maps
• Alpha and Electro-weak Coupling

Cited by in corpus (8)

• Superstatistics in high energy physics: Application to cosmic ray energy spectra and e+e- annihilation
• Synchronized clusters in coupled map networks: Self-organized and driven phase synchronization
• Chaotic strings and standard model parameters
• Scaling behaviour of non-hyperbolic coupled map lattices
• Multifractal analysis of nonhyperbolic coupled map lattices: Application to genomic sequences
• Laboratory tests on dark energy
• Scaling properties of invariant densities of coupled Tchebyscheff maps
• Stochastic differential equations driven by deterministic chaotic maps: analytic solutions of the Perron-Frobenius equation