Abstract
We show that the claim by Franklin (Int. J. Mod. Phys. A 35, 2050061 (2020)) with respect to the vanishing charge distribution over the perimeter of an electrically neutral moving current loop is erroneous and is based on a misinterpretation of physical meaning of Lorentz transformations. Moreover, we show that the development of nonvanishing electric dipole moment by a moving current loop (which we named as “relativistic polarization”) represents a direct implication of covariant formulation of classical electrodynamics of material media. In this respect, we analyze some subtle effects related to the motion of magnetic dipoles in an electromagnetic field and disclose their physical meaning.
Highlights
In a recent paper [1], Franklin claimed that the Lorentz transformation of a charge-current density four-vector j r, t, j r, t was seriously misinterpreted to the moment, and relativistic polarization of an electrically neutral moving current loop does not exist. (Hereinafter, we follow the designations of [1] in units c=1)
We discuss physical meaning of the “relativistic polarization” of a moving magnetic dipole through continuity equation for carries of current written for different inertial observers and clarify some subtle points of macroscopic classical electrodynamics, which we believe are helpful for better understanding of its fundamental basis and relativistic consistency
We will show that this conclusion by Franklin is erroneous, while the standard relativistic result – the development of an electric dipole moment by a moving magnetic dipole, in our case, the electrically neutral current loop – remains to be correct
Summary
In a recent paper [1], Franklin claimed that the Lorentz transformation of a charge-current density four-vector j r , t , j r , t was seriously misinterpreted to the moment, and (in his opinion) relativistic polarization of an electrically neutral moving current loop does not exist. (Hereinafter, we follow the designations of [1] in units c=1). We discuss physical meaning of the “relativistic polarization” of a moving magnetic dipole through continuity equation for carries of current written for different inertial observers and clarify some subtle points of macroscopic classical electrodynamics, which we believe are helpful for better understanding of its fundamental basis and relativistic consistency.
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