The evolution of scientific thought from Newton to EinsteinD'Abro, A. (Aram)
Science
The evolution of scientific thought from Newton to Einstein
D'Abro, A. (Aram)
Relativity (Physics); Science -- Methodology
Under these circumstances, to what does the example of the two twins
finally reduce? Simply to this: The departure of our twin brother
and his return to earth constitute two definite events. The duration
separating two events being robbed of any definite value by the theory
of relativity, there is no cause to be surprised that this duration
should manifest different magnitudes to different observers.
Again let us put the paradox in the following alternative form: Our
twin brother covers a distance of thirty-two light years (when he
goes to the star and then returns), and the duration of his trip is
forty years; hence his speed along the distance is four-fifths that
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of light. How, then, could he ever be misled into believing that he
had required only twenty years to cover this total distance? Would not
this belief suggest to him that his speed had been greater than that
of light, and would not this fact conflict not only with relativity
but also with the assertion which he would voluntarily offer, that his
speed with respect to us was only four-fifths that of light?
But here, again, the criticism is occasioned by another erroneous
obsession, that of absolute distance. The critic does not grasp
the fact that the distance from earth to star, just like any other
distance, is indeterminate and has no meaning in itself. While it is
true that, so far as we are concerned, this distance is sixteen light
years, yet in the opinion of the traveller it is only eight light
years; and his opinion expresses exactly the same measure of reality as
does our own. We can only repeat once more that absolute duration and
distance are incompatible with Einstein’s premises; and if we insist
upon preserving our classical obsessions, a study of Einstein’s theory
will be little better than a nightmare.
Let us now pass in review a totally different order of criticism. It
is contended, for example, that the principle of relativity permits us
to interpret any problem of relative motion between two bodies in two
different ways: by considering either one body or the other as being at
rest. Then, according to the critic, since in the problem of the two
twins it is the twin’s motion that is the cause of the slowing down of
his time, all we need do is to consider him at rest and his brother in
motion, in order to reach the ridiculous conclusion that either twin is
younger than his brother.
This argument is radically incorrect for two separate reasons. In the
first place, the special principle of relativity does not state
that, in the general case, when two bodies are in relative motion we
can consider either one of them as being at rest. The special principle
emphasises the fact that a reversibility of this kind is possible
only when the motions of both bodies are Galilean.
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