Abstract
The octonion wave equation is discussed to formulate the localization spaces for subluminal and superluminal particles. Accordingly, tachyon electrodynamics is established to obtain a consistent and manifestly covariant equation for superluminal electromagnetic fields. It is shown that the true localization space for bradyons (subluminal particles) is R 4- (three space and one time dimensions) space while that for the description of tachyons is T 4- (three time and one space dimensions) space.
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