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
And now we may discuss another type of criticism, not quite so
misplaced as that of Bergson, but still utterly erroneous. It has
been argued, for instance, that all we have succeeded in proving is
[Pg 231]
that if each Galilean observer measures time with the help of his
optical clock, it is true that the duration of the trip will measure
out differently according to the observer, but that if, in place of
optical clocks, each observer had defined duration in terms of the
usual mechanical watches, these strange discrepancies would never have
arisen. In other words, the so-called slowing down of time in the frame
of the travelling twin would be due entirely to the slowing down,
not of time, but of the optical clock wherewith he proposed to
measure time. Always according to this same criticism, the optical
clock measured duration only in virtue of an artificial convention, and
its readings could not be claimed to represent true lapses of time.
Real time would flow independently of any clock; and to assert that
an arbitrarily postulated clock defined true time would be about as
reasonable as claiming that we should be dead were we to forget to wind
up our watch. In other words, we might adjust our clock as we pleased,
accelerate its motion, retard it, and even stop it completely, but we
should go on living just the same.
The only way to refute this fallacious argument is to examine once
again the premises of the relativity theory. Einstein starts with the
assumption that Galilean motion through the ether is relative. From
this it follows that no observer attached to a Galilean frame can by
any means whatsoever ascertain whether his frame is in a state of
uniform rectilinear motion or in a state of rest (special principle of
relativity). Then he lays down his famous postulate on the invariant
speed of light (300,000 kilometres per second) through any Galilean
frame when measured by the observer attached to the frame. This
postulate, as we have seen, enables any Galilean observer to construct
an optical clock and to measure duration as referred to his clock,
hence to his frame.
Now, in order to answer the criticism which charges Einstein’s
selection of optical clocks with being artificial, we must proceed to
investigate whether the definitions of congruent durations marked out
by the optical clocks are justifiable. And, first, what do we mean by
a justifiable definition of the equality of two successive durations?
Would it have been justifiable to define equal durations by the
durations a body falling vertically towards the earth would require to
cover equal Euclidean distances in space? Obviously not.
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