It is known that to explain the results of the experiments to detect the ether drift made at the end of XIX century FitzGerald and Lorentz suggested that some parts of the devices oriented along (possible) motion of the ether should contract. Both FitzGerald and Lorentz couldn't give physical explanation of their idea.

The excellent explanation of the null results of these experiments was given by the special relativity.

But despite the excellent explanation, one point was unclear - if this contraction of the bodies is physical effect. Thus, (from Wikipedia)

In 1911 Vladimir Varićak asserted that one sees the length contraction in an objective way, according to Lorentz, while it is "only an apparent, subjective phenomenon, caused by the manner of our clock-regulation and length-measurement", according to Einstein.

So now the dominant concept is the the contraction of the moving bodies is a 'seeming, apparent effect' and it is cause by impossibility to measure the lengths of the moving bodies in the right way when the observer is at rest.

However, if we take into account original treatment of the null results of the Michelson-Morley experiments, a question arises. In these experiments, the measurements of the moving bodies had not been made. It was necessary to explain the equality of the travel times of the light beams along the arms of the device. So it unambiguously follows from the equality of the travel times that one arm of the interferometers must contract. Therefore the contraction must be the real physical effect.

So, my question: what is a physical meaning of this relativistic contraction?

I give some simple calculations in the attached file to explain why this effect should be physical.

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