Abstract: Abstract The Lorentz transformation has some limitations: (a) it is not associative, (b) it is not isotropic (in the sense that the triangular law of addition of velocities is valid for velocities in some directions and not valid for velocities in other directions), and (c) it does not have the group property without rotation. In this paper we have applied mixed-number algebra to develop the mixed-number Lorentz trans-formation, which is free of these limitations. Mixed-number Lorentz transforma-tions for electric and magnetic fields are also presented. Key words: associative, isotropic, group property 1. INTRODUCTION Let us consider two inertial frames of reference S and S¢, where the frame S is at rest and the frame S¢ is moving along the X axis with velocity V with respect to the S frame. The space and time coordinates of S and S¢ are ( x , y , z , t ) and ( x ¢, y ¢, z ¢, t ¢), respectively. The relation between the coordinates of S and S¢, which is called the special Lorentz transformation, can be written as
Publication Year: 2003
Publication Date: 2003-12-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 7
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