Mass and Charge Generation Mechanisms Within Framework of Generalized Lagrangian and Generalized Special Relativity

Abstract

Mass and charge generation mechanisms are one of the challenging problems in field theories. The mass generation cannot be a achieved by Higgs mechanisms, according to generalized special relativity, as far as masses depend on the field variables, This need modification of the transformation function to generate mass. Many attempts were made to solve mass and charge generation. In this work a new second order lagrangian is suggested. This lagrangian gives the ordinary Maxwell equations beside the ordinary Hamiltonian with additional term representing the field generated or absorbed by charge particles beside the ordinary term representing the energy frozen in charges. This Hamiltonian, in free curved spaced permeated by electric field is used to find an expression for quantized charge which have two quantum numbers, that can be adjusted freely to predict charges of all elementary particles. The charges quantization having similar forms are obtained by using mass self energy and oscillating string model and Klein-Gordon equation solution for particle in a box and for string.