Radiation fluid singular hypersurfaces with de Sitter interior as models of charged extended particles in general relativity

TL;DR

This paper develops classical and quantum models of an extended charged particle using radiation fluid hypersurfaces with de Sitter interiors, revealing equilibrium states at the classical particle radius and potential cosmological implications.

Contribution

It introduces a novel classical and quantum framework for modeling charged particles with de Sitter interiors, incorporating radiation fluid hypersurfaces filled with physical vacuum.

Findings

Existence of equilibrium states at the classical particle radius

Quantum models suggest a primary stationary state with high internal energy

Potential cosmological scenario involving quantum tunneling from this state

Abstract

In present paper we construct the classical and minisuperspace quantum models of an extended charged particle. The modelling is based on the radiation fluid singular hypersurface filled with physical vacuum. We demonstrate that both at classical and quantum levels such a model can have equilibrium states at the radius equal to the classical radius of a charged particle. In the cosmological context the model could be considered also as the primary stationary state, having the huge internal energy being nonobservable for an external observer, from which the Universe was born by virtue of the quantum tunnelling.