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.
