Electromagnetic field theory in superluminal spacetime

Recently, a number of experimental observations on the superluminal group velocities pulses propagating in dispersive media have led to reconsidering electromagnetism theory an unconventional framework. To consider faster-than-light phenomena, it is not necessary replace current relativistic theory, but sufficient extend motions way that preserves principle causality. In present paper, new approach study proposed, which avoids introducing unphysical complex quantities and allows for formulation equations are covariant according hyperbolic metric. framework this formalism, Maxwell single-photon wave equation obtained through transformations ordinary equations. It shown contravariant components electromagnetic field determine its magnitude direction, respectively. Furthermore, solutions transformed X-shaped ways spacetime region delimited by infinite light cone two-sheeted hyperboloid perpendicular it. Instead, quantum mechanics, proportional right- left-handed helicities single photon,