TITLE:
Lorentz Transform in Multi-Dimensional Space
AUTHORS:
I. A. Urusovskii
KEYWORDS:
Lorentz Transform; Euclidean Multi-Dimensional Space; Compton Wave Length; De Broglie Waves; Spin and Isotopic Spin; Heisenberg Uncertainty; CPT Symmetry; Coulomb Force
JOURNAL NAME:
Journal of Modern Physics,
Vol.3 No.11,
November
20,
2012
ABSTRACT: It is shown that in Euclidean space with any number of spatial dimensions more than three, the Lorentz transform holds true if the proper time of each elementary particle is proportional to the length of its path in the extra-dimensional subspace, and all elementary particles move at the speed of light in the complete space. The six-dimensional treatment of the Coulomb force of interaction between two charges is given. The electric force is due to the motion of charges in the extra-dimensional subspace and is equal to the corresponding Lorentz force.