The Characteristic Functions and Their Typical Values for the Nonlinear Spinors

TL;DR

This paper investigates nonlinear spinor equations, revealing finite eigen solutions with positive discrete spectra and anomalous magnetic moments, and discusses their potential relevance to elementary particles and interactions.

Contribution

It provides numerical solutions and analysis of nonlinear spinor equations, highlighting their unique properties and potential physical implications.

Findings

Finite meaningful eigen solutions with positive discrete spectra

Nonlinear potential influences energy components and relations

Detectable energy components through experiments

Abstract

In this paper, we solve the eigen solutions to some nonlinear spinor equations, and compute several functions reflecting their characteristics. The numerical results show that, the nonlinear spinor equation has only finite meaningful eigen solutions, which have positive discrete mass spectra and anomalous magnetic moment. The nonlinear potential and interactions yield different contributions to the total energy, and these components of the energy lead to different energy-speed relation. The magnitude of these components can be detected by elaborate experiments. The weird properties of the nonlinear spinors might be closely related with the elementary particles and their interactions, so some deeper investigations on them are significant.