From 279c8a4bbce94884703571799dd4d43813f887a1 Mon Sep 17 00:00:00 2001 From: Francis Russell Date: Tue, 29 Nov 2011 10:45:47 +0000 Subject: [PATCH] Convert from ISO-8859-1 to UTF-8. --- relat10.tex | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/relat10.tex b/relat10.tex index dbaedec..f57d35b 100644 --- a/relat10.tex +++ b/relat10.tex @@ -1649,9 +1649,9 @@ that the relations of the Galileian transformstion 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 æther of space. +regarding $K$ as at rest with respect to a hypothetical æther 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 æther. To this +were to be regarded as in motion with respect to the æther. To this motion of $K'$ against the {\ae}ther (``{\ae}ther-drift'' relative to $K'$) were attributed the more complicated laws which were supposed to hold relative to $K'$. Strictly speaking, such an {\ae}ther-drift ought also to @@ -1664,7 +1664,7 @@ 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 æther. It is found by calculation, +be at rest with respect to the æther. 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 {\ae}ther. And yet another point: it is shown by calculation that @@ -1677,7 +1677,7 @@ 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 æther produces a contraction of the body in the +relative to the æther produces a contraction of the body in the direction of motion, the amount of contraction being just sufficient to compensate for the differeace in time mentioned above. Comparison with the discussion in Section 11 shows that also from the @@ -1686,7 +1686,7 @@ was the right one. But on the basis of the theory of relativity the method of interpretation is incomparably more satisfactory. According to this theory there is no such thing as a ``specially favoured'' (unique) co-ordinate system to occasion the introduction of the -æther-idea, and hence there can be no æther-drift, nor any experiment +æther-idea, and hence there can be no æther-drift, nor any experiment with which to demonstrate it. Here the contraction of moving bodies follows from the two fundamental principles of the theory, without the introduction of particular hypotheses; and as the prime factor @@ -3922,7 +3922,7 @@ whether or not these displacements are to be referred in reality to the effect of gravitation. The results of observation have been collected together, and discussed in detail from the standpoint of the question which has been engaging our attention here, in a paper by E. -Freundlich entitled ``Zur Prüfung der allgemeinen +Freundlich entitled ``Zur Prüfung der allgemeinen Relativit\"ats-Theorie" ({\it Die Naturwissenschaften}, 1919, No. 35, p. 520: Julius Springer, Berlin). -- 2.47.3