Diagram Of Lorentz Transformation. S and s two inertial frames out of which s is moving relative to s with v velocity along positive x axis. They are connected through a lorentz transformation.
The different axes in spacetime coordinate systems are x ct y and z. Read or downloads. Coshc sinhc sinhc coshc.
In this lets try converting x ct to x ct.
X gx0vt0 gx0 bct01 ct cgt0 vx0 c2 gct0 bx02 here g r1 1 v 2 c2 p1 1 b2 is the lorentz factor and b v c is the dimen sionless velocity. Derivation of the lorentz transformation the simplest linear transformation j j j j x x vt x x vt principle of relativity consider expanding light is spherical then light travels a distance ct ct vt ct ct vt j j divide each equation by c 1 1 c v t t c v t t j j substitute t from the lower to the upper equation 1 2 2 2 c v t j t. It converts one set of coordinates from one reference frame to another. The lorentz transformation takes a very straightforward approach.