On the Equation rotA = K A

TL;DR

This paper clarifies the correct formulation of the equation abla imes a = b1 ba, demonstrating that it can accurately model physical fields without inconsistencies when properly formulated.

Contribution

It provides a corrected formulation of the equation, resolving previous inconsistencies and establishing its validity for representing physical fields.

Findings

The equation can represent physical fields when correctly formulated.

Previous inconsistencies are resolved in the new formulation.

The solutions are consistent with physical phenomena.

Abstract

We show that when correctly formulated the equation $\nabla \times \mbox{\boldmath $a$} = \kappa \mbox{\boldmath $a$}$ does not exhibit some inconsistencies atributed to it, so that its solutions can represent physical fields.