Chaotic strings and standard model parameters

Abstract

We introduce so-called chaotic strings (coupled 1-dimensional noise strings underlying the Parisi-Wu approach of stochastic quantization on a small scale) as a possible amendment of ordinary string theories. These strings are strongly self-interacting and exhibit strongest possible chaotic behavior. Constraints on the vacuum energy of the strings fix a certain discrete set of allowed string couplings. We provide extensive numerical evidence that these string couplings numerically coincide with running standard model coupling constants, evaluated at energy scales given by the masses of the known quarks, leptons and gauge bosons. Chaotic strings can thus be used to provide a theoretical argument why certain standard model parameters are realized in nature, others are not, assuming that the a priori free standard model parameters evolve to the minima of the effective potentials. The chaotic string spectrum correctly reproduces the numerical values of the electroweak and strong coupling constants with a precision of 4-5 digits, as well as the (free) masses of the known quarks and leptons with a precision of 3-4 digits. Neutrino mass predictions consistent with present experiments are obtained. The W boson mass also comes out correctly, and a Higgs mass prediction is obtained.

41 pages, 18 figures. A more detailed version will appear as a book with the title `Spatio-temporal chaos and vacuum fluctuations of quantized fields' (World Scientific, 2002)

References in corpus (1)

• Spatio-temporal Chaos and Vacuum Fluctuations of Quantized Fields

Cited by in corpus (17)

• Generalized statistical mechanics for superstatistical systems
• Chaotic scalar fields as models for dark energy
• Spatio-temporal Chaos and Vacuum Fluctuations of Quantized Fields
• Stable synchronised states of coupled Tchebyscheff maps
• Scaling behaviour of non-hyperbolic coupled map lattices
• Scaling properties of invariant densities of coupled Tchebyscheff maps
• Short chaotic strings and their behaviour in the scaling region
• Higgs-mass predictions
• Unifying vectors and matrices of different dimensions through nonlinear embeddings
• Renormalization group approach to chaotic strings
• Information Shift Dynamics Described by Tsallis $q=3$ Entropy on a Compact Phase Space
• Chaotic interaction between thermodynamic systems
• Statistical mechanics of the vacuum
• Nonextensive quantum statistics and saturation of the PMD-SQS optimality limit in hadron-hadron scattering
• Beyond Quantum Field Theory: Chaotic Lattices?
• Distinguished correlation properties of Chebyshev dynamical systems and their generalisations
• A first approach to the Galois group of chaotic chains