On the Origin of the Charge-Asymmetric Matter. II. Localized Dirac Waveforms

TL;DR

This paper analytically solves a nonlinear Dirac equation to find stable localized charge configurations, linking them to cosmic charge asymmetry and positron excess observations.

Contribution

It introduces an analytical solution for localized Dirac waveforms within a nonlinear framework, highlighting a stable positive charge configuration.

Findings

Identifies a stable localized Dirac waveform with positive charge.

Connects the stable configuration to cosmic charge asymmetry.

Suggests relevance to observed cosmic positron excess.

Abstract

This paper continues the author's work \cite{PartI}, where a new framework of the matter-induced physical geometry was built and an intrinsic nonlinearity of the Dirac equation discovered. Here, the nonlinear Dirac equation is solved and the localized configurations are found analytically. Of the two possible types of the potentially stationary localized configurations of the Dirac field, only one is stable with respect to the action of an external field and it corresponds to a positive charge. A connection with the global charge asymmetry of matter in the Universe and with the recently observed excess of the cosmic positrons is discussed.