Standard Model & Quantum Theory Based on Momentum Perturbation

Abstract

The generalized special relativity is used to construct new quantum momentum perturbation theory. This theory is based on momentum eigen equation. Treating elementary particles as vibrating strings or strings of finite length or strings of periodic structure, the momentum was shown to be quantized, for harmonic oscillator particle in a crystal and in a box. In this work generalized special relativistic spatial and momentum perturbation theory was developed. This theory reduced to Schrödinger picture in the momentum space. It shows that when considering the particle as an oscillating string, the energy is quantized in any arbitrary field. The model also describes spatial evolution of the quantum interacting system typical to the time evolution model in quantum field theory.