Lorentz transformation ترادیس ِ لورنتز tarâdis-e Lorentz
*Fr.: transformation de Lorentz*
A set of linear equations that expresses the time and space coordinates of one
→ *reference frame* in terms of those of another one when one
frame moves at a constant velocity with respect to the other.
In general, the Lorentz transformation allows a change of the origin
of a coordinate system, a rotation around the origin, a reversal of
spatial or temporal direction, and a uniform movement along a spatial axis.
If the system *S'(x',y',z',t')* moves at the velocity *v* with respect to
*S(x,y,z,t)* in the positive direction of the *x*-axis, the Lorentz
transformations will be:
*x'* = γ(*x - vt*), *y' = y*, *z' = z*,
*t'* = γ [*t* - (*vx/c*^{2})], where *c* is the
→ *velocity of light* and
γ = [1 - (*v/c*)^{2}]^{-1/2}.
For the special case of velocities much less than *c*, the
Lorentz transformation reduces to → *Galilean transformation*. → *Lorentz*; → *transformation*. |