The phase free, longitudinal, magnetic component of vacuum electromagnetism

TL;DR

This paper discusses a phase-free, longitudinal magnetic field component in vacuum electromagnetism generated by a moving charge, identifying it as a radiated magnetic field component.

Contribution

It introduces and characterizes a phase-free, longitudinal magnetic field component in vacuum electromagnetism caused by moving charges, expanding understanding of electromagnetic radiation.

Findings

Identification of a phase-free, longitudinal magnetic field component.

Connection to the radiated ${f B}^{(3)}$ field of Evans and Vigier.

Implications for vacuum electromagnetic theory.

Abstract

A charge $q$ moving in a reference laboratory system with constant velocity {\bf V} in the $X$-axis produces in the $Z$-axis a longitudinal, phase free, vacuum magnetic field which is identified as the radiated ${\bf B}^{(3)}$ field of Evans, Vigier and others.