Spatio-temporal Chaos and Vacuum Fluctuations of Quantized Fields

TL;DR

This paper introduces chaotic string models as a deterministic approach to quantum vacuum fluctuations, providing high-precision predictions for fundamental particle masses and coupling constants consistent with observed values.

Contribution

It proposes a novel chaotic string framework for vacuum fluctuations that yields accurate predictions of standard model parameters and fundamental constants.

Findings

Accurately predicts low-energy fermion and boson masses within 3-4 digits.

Provides high-precision estimates of electroweak and strong coupling constants.

Predicts the Higgs mass, neutrino masses, and GUT scale with remarkable accuracy.

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).