# Lorentz transformation

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## Lorentz transformation

A set of equations used in the special theory of relativity to transform the coordinates of an event (x , y , z , t) measured in one inertial frame of reference to the coordinates of the same event (x′ , y′ , z′ , t ′) measured in another frame moving relative to the first at constant velocity v :
x = (x′ + vt′ )/β
y = y′
z = z′ ;
t = (t′ + x′v/c 2)/β
β is the factor √(1 – v 2/c 2) and c is the speed of light. When v is very much less than c , these equations reduce to those used in classical mechanics.

## Lorentz transformation

[′lȯr‚ens ‚tranz·fər‚mā·shən]
(mathematics)
Any linear transformation of euclidean four space which preserves the quadratic form q(x,y,z,t) = t 2-x 2-y 2-z 2.
(relativity)
Any of the family of mathematical transformations used in the special theory of relativity to relate the space and time variables of different Lorentz frames.
References in periodicals archive ?
In  authors have deduced two variants of generalized superluminal Lorentz transforms for the case, when two inertial frames are moving along the common xaxis:
in the electron rest frame; and when (A3) is Lorentz transformed it results in the two coupling forces
That this field is the same as that derived from the Lorentz transformed Coulomb field is shown in Appendix B.
The observer's frame always contains special-relativistic (or Lorentz transformed) coordinates and parameters in special relativity.

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