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Relativity: The Special and General Theory

Page 39 of 95, printed 39

become reconciled to this negative result, for reasons now to be discussed. The inherited prejudices about time and space did not allow any doubt to arise as to the prime importance of the Galileian transformation for changing over from one body of reference to another. Now assuming that the Maxwell-Lorentz equations hold for a reference-body _K_, we then find that they do not hold for a reference-body _K _ moving uniformly with respect to _K_, if we assume that the relations of the Galileian transformation exist between the co-ordinates of _K_ and _K _. It thus appears that, of all Galileian co-ordinate systems, one (_K_) corresponding to a particular state of motion is physically unique. This result was interpreted physically by regarding _K_ as at rest with respect to a hypothetical ther of space. On the other hand, all coordinate systems _K _ moving relatively to _K_ were to be regarded as in motion with respect to the ther. To this motion of _K _ against the ther ( ther-drift relative to _K _) were attributed the more complicated laws which were supposed to hold relative to _K _. Strictly speaking, such an ther-drift ought also to be assumed relative to the earth, and for a long time the efforts of physicists were devoted to attempts to detect the existence of an ther-drift at the earth s surface. In one of the most notable of these attempts Michelson devised a method which appears as though it must be decisive. Imagine two mirrors so arranged on a rigid body that the reflecting surfaces face each other. A ray of light requires a perfectly definite time _T_ to pass from one mirror to the other and back again, if the whole system be at rest with respect to the ther. It is found by calculation, however, that a slightly different time _T _ is required for this process, if the body, together with the mirrors, be moving relatively to the ther. And yet another point: it is shown by calculation that for a given velocity _v_ with reference to the ther, this time _T _ is different when the body is moving perpendicularly to the planes of the mirrors from that resulting when the motion is parallel to these planes. Although the estimated difference between these two times is exceedingly small, Michelson and Morley performed an experiment involving interference in which this difference should have been clearly detectable. But the experiment gave a negative result a fact very perplexing to physicists. Lorentz and FitzGerald rescued the theory from this difficulty by assuming that the motion of the body relative to the ther produces a contraction of the body in the direction of motion, the amount of 39
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