Breaching the light barrier without paradoxes

Abstract

We propose a regularization principle that resolves the temporal paradoxes associated with faster-than-light particles, or tachyons, at the macroscopic scale. The principle involves using the properties of the \(\zeta\)-function to regularize unphysical momenta of tachyons that move backward in time as an infinite sum of physical tachyon momenta that travel forward in time. Since the tachyon moves forward in time in all Lorentz frames, tachyonic processes are ensured to be paradox-free without invoking the Reinterpretation Principle (RIP). Apart from resolving the paradoxes associated with faster-than-light particles, the other notable consequences of this approach, especially those pertaining to the censorship of naked singularities and faster-than-light communication, are also discussed.