Creation of fundamental particles in Wesson’s IMT

Abstract

Fundamental particles, regarded as possible constituents of quarks and leptons, are described classically in the framework of the Weyl-Dirac version of Wesson’s Induced Matter Theory (IMT). There are neutral particles and particles having charge $\pm \frac{1}{3}e$. The particles appear on the 4D brane, our universe, and are filled with an induced by the 5D bulk substance. This substance is taken to have mass density, pressure, and (if charged) charge density, and is characterized by the equation of state ρ + P = 0. The interior is separated from the surrounding vacuum by a spherical boundary surface where the components of the 4D metric tensor h ₀₀ = 1/h ₁₁ = 0. Outside of the boundary holds the Schwarzschild, or the Reissner–Nordstrøm metric, while the particles are characterized by Mass, Radius, Charge.