Einstein's Theories of Relativity and Gravitation: A selection of material from the essays submitted in the competition for the Eugene Higgins prize of $5,000Bird, J. Malcolm (James Malcolm)
Philosophy
Einstein's Theories of Relativity and Gravitation: A selection of material from the essays submitted in the competition for the Eugene Higgins prize of $5,000
Bird, J. Malcolm (James Malcolm)
Relativity (Physics)
We may permit Mr. Francis to remind us here that neither $M$ nor
$M'$ may correct his observation to make it accord with the other
fellow's. The one who does this is admitting that the other is at
absolute rest and that he is himself in absolute motion; and this
cannot be. They are simply in disagreement as to the simultaneity of
two events, just as two observers might be in disagreement about the
distance or the direction of a single event. This can mean nothing
else than that, under the assumptions we have made, simultaneity is
not an absolute characteristic as we had supposed it to be, but, like
distance and direction, is in fact merely a relation between observer
and objective, and therefore depends upon the particular observer
who happens to be operating and upon the reference frame he is using.
But this is serious. My time measurements depend ultimately upon
my space measurements; the latter, and hence both, depend closely
upon my ideas of simultaneity. Yours depend upon your reading of
simultaneity in precisely the same way.]* [Suppose the observer on
the track, in the above experiment, wants to measure the length of
something on the car, or the observer on the car something on the
track. The observer, or his assistant, must be at both ends of the
length to be measured at the same time, or get simultaneous reports
in some way from these ends; else they will obtain false results. It
is plain, then, that with different criteria of what the "same time"
is, the observers in the two systems may get different values for
the measured lengths in question.]220
[Who is right? According to the principle of relativity a decision on
this question is absolutely impossible. Both parties are right from
their own points of view; and we must admit that two events in two
different places may be simultaneous for certain observers, and yet
not simultaneous for other observers who move with respect to the first
ones. There is no contradiction in this statement, although it is not
in accordance with common opinion, which believes simultaneousness to
be something absolute. But this common opinion lacks foundation. It
cannot be proved by direct perception, for simultaneity of events
can be perceived directly,]24 [and in a manner involving none of our
arbitrary assumptions,]* [only if they happen at the same place;
if the events are distant from each other, their simultaneity or
succession can be stated only through some method of communicating by
signals. There is no logical reason why such a method should not lead
to different results for observers who move with regard to one another.
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