Lorentz-Fitzgerald contraction

Hence lengths in the second system appear from the first system to be shortened (the Fitzgerald-Lorentz contraction). On the other hand, if are the times of two events at the same place x in the first system, then... 

Lorentz contraction - The reduction in length of a moving body in the direction of motion, given by the factor (1-v /c ) , where v is the velocity of the body and c the velocity of light. Also known as the FitzGerald-Lorentz contraction. 

The length of an object, measured in the direction of mobile system movement is maximum in the proper system of the object here worth to recall that the effect of contraction, manifested in the observer system (not the proper one) is in agreement with the Lorentz-FitzGerald longitudinal contraction, previously related with the temporal paradox likely to solve the optical path in Michelson experiment (see the Section A.5). 

It was proposed independently by Hendrik Lorentz (1853-1928) and George Fitzgerald (1851-1901) in 1892 to account for the null result of the Michelson-Morley experiment. The contraction was given a theoretical background in Einstein s special theory of relativity. In this theory, an object of length lo at rest in one frame of reference will appear, to an observer in another frame moving with relative velocity v with respect to the first, to have length Ua-i /a,... 

The speed of light is finite, but for the parallel propagation of light with the Earth s rotation speed the shrinkage of distance traveled occurs with die so-called Lorentz-Fitzgerald factor (longitudinal contraction factor)... 

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