Chaotic strings and standard model parameters

We introduce the so-called chaotic strings (distinguished one-dimensional coupled map lattices underlying the Parisi–Wu approach of stochastic quantization on a small scale) as a possible amendment for ordinary quantization schemes. 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 couplings 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.