On The Infeasibility of Superluminal Velocities as an Extension of Special Relativity
Chandru Iyer, G. M. Prabhu
In a recent paper by James Hill and Barry Cox, two new transformations have been proposed between inertial frames that are moving at superluminal speed with respect to each other. It has been shown by Andreka et al. that these transformations do not maintain the constancy of the speed of light in directions other than the line of relative motion. We show that this can also be readily deduced from the invariant equation associated with the Hill-Cox transformations. We further show that, even in one spatial dimension, when we consider two specific speeds v (subluminal) and V = (c2/v) (superluminal), and consider the inertial frames associated with these two speeds, the space and time coordinates of one inertial frame become the time and space coordinates of another frame respectively.
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