The Particle-Field Theory and Its Relativistic Generalization. (arXiv:1709.07304v1 [quant-ph])

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.

Article web page: