The Particle-Field Theory and Its Relativistic Generalization
Abstract
As a serious attempt for constructing a new foundation for describing micro-entities from a causal standpoint, it was explained before in [1, 2, 3] that by unifying the concepts of information, matter and energy, each micro-entity is assumed to be composed of a probability field joined to a particle called a particle-field or PF system. In this essay, the relativistic generalization of the PF theory has been considered. The equation of motion for the PF system is derived in a form which is Lorentz-invariant. Moreover, based on constitutional similarities to classical equations of motion, a well-defined relativistic time-independent Schrodinger equation is derived, which is one of our main achievements in developing a micro-relativistic physics of PF theory. This relativistic Schrodinger equation is solved for a relativistic micro-particle in one-dimensional box to find its eigenstate and energy spectrum.
Cite
@article{arxiv.1709.07304,
title = {The Particle-Field Theory and Its Relativistic Generalization},
author = {Fatemeh Ahmadi and Afshin Shafiee},
journal= {arXiv preprint arXiv:1709.07304},
year = {2017}
}