Singularity-free model of electric charge in physical vacuum: Non-zero spatial extent and mass generation

TL;DR

This paper introduces a novel, singularity-free model of an electric charge as a stable, finite-sized field configuration interacting with a quantum vacuum, leading to natural mass and size emergence.

Contribution

It presents the first self-consistent electromagnetic charge model in a logarithmic quantum Bose liquid vacuum with non-zero spatial extent and mass generation.

Findings

Regular, stable solutions exist for the charge in the logarithmic vacuum model.

The charge's energy and density distributions are Gaussian-like.

The model is energetically favorable compared to Higgs-like potential models.

Abstract

We propose a model of a spinless electrical charge as a self-consistent field configuration of the electromagnetic (EM) field interacting with a physical vacuum effectively described by the logarithmic quantum Bose liquid. We show that, in contrast to the EM field propagating in a trivial vacuum, a regular solution does exist, and both its mass and spatial extent emerge naturally from dynamics. It is demonstrated that the charge and energy density distribution acquire Gaussian-like form. The solution in the logarithmic model is stable and energetically favourable, unlike that obtained in a model with a quartic (Higgs-like) potential.