Charged fundamental particles in Wesson's IMT

TL;DR

This paper explores how charged, particle-like entities can be modeled within Wesson's Induced Matter Theory using a 5D framework, potentially serving as classical models for fundamental particles like quarks and leptons.

Contribution

It introduces a model of charged particles in Wesson's IMT, deriving their properties from a 5D bulk and matching known metrics like Schwarzschild and Reissner-Nordstroem.

Findings

Entities have mass and charge densities induced from 5D bulk.

Boundary conditions match Schwarzschild and Reissner-Nordstroem metrics.

Potential classical models for quarks and leptons.

Abstract

In the framework of the Weyl-Dirac version of Wesson's Induced Matter Theory, spherically symmetric entities filled with an electrically charged substance are obtained in the empty 4D space-time, the brane. The substance, characterized by mass and charge density as well by pressure, is induced by the 5D bulk. The entity is separated from the surrounding vacuum by a boundary surface, where the metric satisfy the Schwarzschild conditions. Outside one has the Reissner-Nordstroem metric with M=Q. These entities may be regarded as classical (non-quantum) fundamental particles serving as constituents of quarks and leptons.