What are tachyons? Tachyons are hypothetical particles that can
only travel faster than the speed of light. As you probably
know, objects with a real number for mass can never travel at
the speed of light because of Einstein's theory of relativity.
As a consequence of this theory, as a objects velocity increases
its mass increases. As is it can be seen by the following
formula mass=rest_mass*1/sqrt(1-v^2/c^2). At the speed of light
the mass becomes infinite. So, it would take an infinite amount
of energy for a massive particle to reach the speed of light.
These objects are sometimes called tardyons. Photons can travel
at the speed of light because they have no mass and their energy
is E=planck's constant * nu(frequency of the photon). In order
for something to travel at the speed of light it would have to
have an imaginary number for its mass. An imaginary number is a
number that is a multiple of the square root of a negative
number. As a particle travels faster than the speed of light the
denominator of mass