Lebohec june 28th 2014 1 introduction originally, the lorentz transformation was derived from the following assump. Derivation of the lorentz transformation from a minimal set of assumptions edited by s. The unprimed system is stationary and the primed system moves to the right along the. Deriving lorentz transformation part 2 our mission is to provide a free, worldclass education to anyone, anywhere. The lorentz transformation, for which this chapter is named, is the coordinate transfor mation which replaces the galilean transformation presented in eq. It consists of an elementary version of general grouptheoretical arguments on the structure of spacetime, and makes use only of simple mathematical techniques. When sal begins lorentz transformation derivation part 2 he makes no assumptions about the chosen point in space time x, ct. A simple derivation of the lorentz transformation and of.
Compared with einsteins derivation and with other derivations we found in the literature of this subject, our derivation presents the advantage. Let us go over how the lorentz transformation was derived and what it represents. Pdf one more derivation of the lorentz transformation. Lorentz rorce law, lorentz contraction, lorentz invariance, and the lorentz transformation. A simple derivation of the lorentz transformation and of the related velocity and acceleration formulae j. Introduction to general relativity universiteit leiden. Equations 16 and 17 are known as the inverse lorentz transformations whereas equations 18 and 19 are known as the direct lorentz transformations. Let us go over how the lorentz transformation was derived and.
We present in this paper a derivation of the lorentz transformation by invoking the principle of relativity alone. Derivation of lorentz transformations consider two coordinate systems x. After a criticism of the emphasis put on the invariance of the speed of light in standard derivations of the lorentz transformation, another approach to special relativity is proposed. This derivation uses the group property of the lorentz transformations, which means that a combination of two lorentz transformations also belongs to the class lorentz transformations. This seems to limit the set of points to those on a light ray, because the speed of light is the same in both. Let s and s 0 be reference frames allowing coordinate systems t. One more derivation of the lorentz transformation article pdf available in american journal of physics 443.
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