Chaotic quantization and the parameters of the standard model

TL;DR

Chaotic quantization replaces stochastic noise with deterministic chaos, predicting standard model parameters and offering insights into the vacuum energy's origin in the universe.

Contribution

This work introduces a chaotic quantization framework using Tchebyscheff maps to predict fundamental constants from first principles.

Findings

Vacuum energy minimized at couplings matching standard model values

Coupling constants align with known fermion and boson masses

Provides a dynamical explanation for vacuum energy

Abstract

In the chaotic quantization approach one replaces the Gaussian white noise of the Parisi-Wu approach of stochastic quantization by a deterministic chaotic process on a very small scale. We consider suitable coupled chaotic noise processes as generated by Tchebyscheff maps, and show that the vacuum energy of these models is minimized for coupling constants that coincide with running standard model couplings at energy scales given by the known fermion and boson masses. Chaotic quantization thus allows to predict fundamental constants of nature from first principles. At the same time, it provides a natural framework to understand the dynamical origin of vacuum energy in our universe.