Multidimensional Geometrical Model of the Electrical and SU(2) Colour Charge with Splitting off the Supplementary Coordinates

TL;DR

This paper proposes a geometrical model for electrical and SU(2) color charges using 5D wormholes, suggesting a mechanism that can reduce observable charge through virtual wormholes and linking black hole solutions to gauge charges.

Contribution

It introduces a novel 5D wormhole-based geometrical model for electrical and SU(2) color charges, incorporating supplementary coordinates and virtual wormholes.

Findings

Virtual wormholes can trap charge lines, reducing observable charge.

The model links black hole solutions to gauge charges.

Charge visibility can be decreased, satisfying $m^2 < e^2$.

Abstract

The geometrical model of an electrical charge is proposed. This model has the ''nake'' charge shunted with ``fur - coat'' consisting of virtual wormholes. The 5D wormhole solution in the Kaluza - Klein's theory is the ''nake'' charge. The splitting off the supplementary coordinates happens on the two spheres (null surfaces) bounding this 5D wormhole. This allows to sew two Reissner - Nordstr\"om's black holes to it on both sides. Virtual wormholes entrap a part of the electrical force lines outcoming from ''nake'' charge. This effect can essentially decrease the charge visible at infinity up to real relation $m^2 < e^2$. The analogical construction for colour SU(2) gauge charge is made.