Changes

A common interpetation using time dilation is that a tachyon would travel backwards in time. The basis for this logic is in the kinematic equations called the Lorentz transformations. There are several; the relevant one is

A common interpetation using time dilation is that a tachyon would travel backwards in time. The basis for this logic is in the kinematic equations called the Lorentz transformations. There are several; the relevant one is

::<math>t = \gamma (t' - \delta x \frac{v}{c^2}) = \gamma t'(1 - \frac{\delta x}{t'} \frac{v}{c^2}))</math>.

::<math>t = \gamma (t' - \delta x \frac{v}{c^2}) = \gamma t'(1 - \frac{x}{t'} \frac{v}{c^2}))</math> where x is the change in position.

Plugging in values of <math>\gamma = 2</math>, <math> \frac{v}{c} = .866<//math>, <math>t' = 1</math>, and <math>\frac{\delta x}{t'} = 2c</math> (or twice the speed of light) gives

Plugging in values of <math>\gamma = 2</math>, <math> \frac{v}{c} = .866<//math>, <math>t' = 1</math>, and <math>\frac{x}{t'} = 2c</math> (or twice the speed of light) gives

::<math>t = 2(1 - \frac{2c}{1} \frac{.866}{c}) = 2 - 4(.866) = -1.464</math>

::<math>t = 2(1 - \frac{2c}{1} \frac{.866}{c}) = 2 - 4(.866) = -1.464</math>