Lorentz Transformation Leads to Invariance of the Difference between the Electric and Magnetic Field Intensity

Abstract

In course of a direct calculation we demonstrate the activity of parameters of the Lorentz transformation entering the original electric and magnetic field vectors E and H . The validity of the transformation is shown with the aid of the relation E 2 - H 2 = E ' 2 - H' 2 which holds for any suitable pair of the vectors E , H and E ' , H' . No special geometry of the vector pairs entering ( E , H ) and ( E ' , H' ) is assumed. The only limit applied in the paper concerns the velocity ratio betweeen v and c which should be smaller than unity.