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→Theoretical Basis: the "imaginary" mathematical properties
This does not forbid speeds greater than the speed of light. Rather, since the barrier is impassable, such a particle would have to be "born" there. "Tachyon" is the name given to such a hypothetical particle.
This does not forbid speeds greater than the speed of light. Rather, since the barrier is impassable, such a particle would have to be "born" there. "Tachyon" is the name given to such a hypothetical particle.
The Lorentz factor of a tachyon would have an imaginary number. For example, a tachyon moving twice the speed of light has
::<math>\gamma = \frac{1}{\sqrt{1 - 2^2}} = \frac{1}{\sqrt{-3}} = \frac{1}{i \sqrt{3}}</math> where <math>i := \sqrt{-1}</math> is historically called the "imaginary number."
Physically, either this produces "imaginary" energy, time passage, length contraction, etc., or the imaginary number is cancelled. An example of this in the above energy equation is if the tachyon has an "imaginary mass." Further attempts at tangible clarification are pure speculation.
==Evidence==
==Evidence==