Creation of fundamental particles in Wesson's IMT

TL;DR

This paper models fundamental particles as classical entities within Wesson's Induced Matter Theory, describing their properties and boundary conditions on a 4D brane induced by a 5D bulk, including charge and mass characteristics.

Contribution

It introduces a classical model of fundamental particles in Wesson's IMT framework, detailing their charge, mass, and boundary conditions on the 4D brane.

Findings

Particles can be neutral or charged with Q=±(1/3)e.

Particles are characterized by mass, radius, and charge.

Boundary conditions involve Schwarzschild and Reissner-Nordström metrics.

Abstract

Fundamental particles, regarded as the constituents of quarks and leptons, are described classicaly in the framework of the Weyl-Dirac version of Wesson's Induced Matter Theory. There are neutral particles and particles having charge Q=+/-(1/3e). The particles appear on the 4D brane, our universe, and are filled with a substance induced by the 5D bulk. This substace is taken to have mass density, charge density, pressure and is characterized by the prematter eq. of state P+\rho=0. The interior is separated from the surrounding vacuum by a boundary surface where the 4D metric tensor satisfies an a'la Schwarzschild condition. Outside of the boundary holds the Schwarzschild, or the Reissner-Nordstroem Metric, while the particles are characterized by mass, radius, charge.