Volume 16: Pages 530-536, 2003

Mixed‐Number Lorentz Transformation

Md. Shah Alam, M. H. Ahsan

Department of Physics, Shahjalal University of Science and Technology, Sylhet, Bangladesh

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 transformation, which is free of these limitations. Mixed‐number Lorentz transformations for electric and magnetic fields are also presented.

Keywords: associative, isotropic, group property

Received: July 30, 2003; Published online: December 15, 2008